The kinematical corrections to the structurefunction of nucleon in nucleus due to the boundness and motion of nucleons arise from the excitation of the doorway states for one-nucleon transfer reactions in the deep inelastic scattering on nuclei.
The structure of neutrons, protons, and other strongly interacting particles is now being calculated in full, unquenched lattice QCD with quark masses entering the chiral regime. This talk describes selected examples, including the nucleon axial charge, structurefunctions, electromagnetic form factors, the origin of the nucleon spin, the transverse structure of the nucleon, and the nucleon to Delta transition form factor.
Deep inelastic polarized lepton-nucleon scattering is reviewed in three lectures. The first lecture covers the polarized deep inelastic scattering formalism and foundational theoretical work. The second lecture describes the nucleon spin structurefunction experiments that have been performed up through 1993. The third lecture discusses implication of the results and future experiments aimed at high-precision measurements of the nucleon spin structurefunctions.
The kinematical corrections to the structurefunction of the nucleon in the nucleus due to the boundness and motion of nucleons arise from the excitation of the doorway states for one-nucleon transfer reactions in the deep inelastic scattering on nuclei. (orig.)
Using the manifestly covariant spectator theory, and modeling the nucleon as a system of three constituent quarks with their own electromagnetic structure, we show that all four nucleon electromagnetic form factors can be very well described by a manifestly covariant nucleon wave function with zero orbital angular momentum.
Using the manifestly covariant spectator theory, and modeling the nucleon as a system of three constituent quarks with their own electromagnetic structure, we show that all four nucleon electromagnetic form factors can be very well described by a manifestly covariant nucleon wave function with zero orbital angular momentum.
The basic two-nucleon configurations which generate the structure of the nucleon spectral function at high values of momenta and removal energies are analyzed. A model spectral function expressed through a convolution integral of the momentum distributions describing the relative and center-of-mass motion of a correlated pair is suggested and shown to satisfactorily reproduce the spectral function of the three-body system and nuclear matter calculated in terms of realistic nucleon-nucleon interactions in a wide range of nucleon momenta and removal energies.
The authors show that the virtual Compton scattering process allows for a precise study of the off-shell electron-nucleon vertex. In a separable model, they show the sensitivity to new unconstrained structurefunctions of the nucleon, beyond the usual Dirac and Pauli form factors. In addition, they show the sensitivity to bound nucleon form factors using the reaction 4He({rvec e},e{prime},{rvec p}){sup 3}H. A nucleon embedded in a nucleus represents a complex system. Firstly, the bound nucleon is necessarily off-shell and in principle a complete understanding of the dynamical structure of the nucleon is required in order to calculate its off-shell electromagnetic interaction. Secondly, one faces the possibility of genuine medium effects, such as for example quark-exchange contributions. Furthermore, the electromagnetic coupling to the bound nucleon is dependent on the nuclear dynamics through the self-energy of the nucleon in the nuclear medium.
The influence of the nuclear medium upon the internal structure of a composite nucleon is examined. The interaction with the medium is assumed to depend on the relative distances between the quarks in the nucleon consistent with the notion of color neutrality, and to be proportional to the nucleon density. In the resulting description the nucleon in matter is a superposition of the ground state (free nucleon) and radial excitations. The effects of the nuclear medium on the electromagnetic and weak nucleon form factors, and the nucleonstructurefunction are computed using a light-front constituent quark model. Further experimental consequences are examined by considering the electromagnetic nuclear response functions. The effects of color neutrality supply small but significant corrections to predictions of observables.
The dispersion-integration method has been used to calculate the contribution of nucleonic degrees of freedom to the EMC effect. The structure of the amplitude of deep inelastic scattering is discussed for a nucleus with spin one half. The question of the functional form of the structurefunction of a nucleon off the mass shell is discussed.
We discuss the electromagnetic form factors, axial form factors, and structurefunctions of a nucleon bound in the quark-meson coupling (QMC) model. Free space nucleon form factors are calculated using the improved cloudy bag model (ICBM). After describing finite nuclei and nuclear matter in the quark-based (EMC) model, the in-medium modification of the bound nucleon form factors is calculated in the same model. Finally, the bound nucleonstructurefunction, F2, is extracted using the calculated in-medium electromagnetic form factors and Bloom-Gilman (quark-hadron) duality.
We determine nuclear structurefunctions and quark distributions for {sup 7}Li, {sup 11}B, {sup 15}N and {sup 27}Al. For the nucleon bound state we solve the covariant quark-diquark equations in a confining Nambu--Jona-Lasinio model, which yields excellent results for the free nucleonstructurefunctions. The nucleus is described using a relativistic shell model, including mean scalar and vector fields that couple to the quarks in the nucleon. The nuclear structurefunctions are then obtained as a convolution of the structurefunction of the bound nucleon with the light-cone nucleon distributions. We find that we are readily able to reproduce the EMC effect in finite nuclei and confirm earlier nuclear matter studies that found a large polarized EMC effect.
The nucleon mass corrections are calculated to all polarized structurefunctions for neutral and charged current deep inelastic scattering in lowest order in the coupling constant. The impact of the target mass corrections on the general relations between the twist-2 and twist-3 parts of the structurefunctions is studied and three new relations between the twist-3 contributions are derived. The size of nucleon mass corrections for the g{sub 1} and g{sub 2} structurefunctions are estimated.
We estimate the contribution of inelastic nucleon excitations to the (e,e^\\prime) inclusive cross section in the CEBAF kinematic range. Calculations are based upon parameterizations of the nucleonstructurefunctions measured at SLAC. Nuclear binding effects are included in a vector-scalar field theory, and are assumed have a minimal effect on the nucleon excitation spectrum. We find that for q\\lsim 1 GeV the elastic and inelastic nucleon contributions to the nuclear response functions are comparable, and can be separated, but with roughly a factor of two uncertainty in the latter from the extrapolation from data. In contrast, for q\\rsim 2 GeV this uncertainty is greatly reduced but the elastic nucleon contribution is heavily dominated by the inelastic nucleon background.
The spectral functions and light-cone momentum distributions of protons and neutrons in 3He and 3H are given in terms of the three-nucleon wave function for realistic nucleon-nucleon interactions. To reduce computational complexity, separable expansions are employed for the nucleon-nucleon potentials. The results for the light-cone momentum distributions suggest that they are not very sensitive to the details of the two-body interaction, as long as it has reasonable short-range repulsion. The unpolarized and polarized structurefunctions are examined for both 3He and 3H in order to test the usefulness of 3He as a neutron target. It is found that the measurement of the spin structurefunction of polarized 3H would provide a very clear test of the predicted change in the polarized parton distributions of a bound proton.
The spectral functions and light-cone momentum distributions of protons and neutrons in 3He and 3H are given in terms of the three-nucleon wave function for realistic nucleon-nucleon interactions. To reduce computational complexity, separable expansions are employed for the nucleon-nucleon potentials. The results for the light-cone momentum distributions suggest that they are not very sensitive to the details of the two-body interaction, as long as it has reasonable short-range repulsion. The unpolarised and polarised structurefunctions are examined for both 3He and 3H in order to test the usefulness of 3He as a neutron target. It is found that the measurement of the spin structurefunction of polarised 3H would provide a very clear test of the predicted change in the polarised parton distributions of a bound proton.
The break-up of the deuteron during deeply-virtual Compton scattering, {gamma}*d {yields} {gamma}{sup (*)}np, is explored. In the effective field theory describing nucleon dynamics at momenta below the pion mass, the EMC effect results from four-nucleon interactions with the twist-2 operators, appropriate for describing forward, and near-forward, matrix elements in the two-nucleon system. We point out that the break-up of the deuteron to low-energy final states during deeply-virtual Compton scattering is a process with which to explore strong-interaction physics closely related to that responsible for the EMC effect. The single-nucleon contribution to the break-up depends on the moments of the spin-dependent structurefunctions and contributions from local four-nucleon operators. Experimental deviations from the single-nucleon prediction would provide a probe of strong interactions complimentary to the EMC effect.
three possible pairs of nucleons -- proton-proton, neutron-neutron and proton- neu- tron -- found in the ... functions and coordinates and spins) are identical with one another. ... It is very important therefore to examine the spectral structure of the ...
The nucleonstructurefunction F/sub 2/ has been measured by the European Muon Collaboration at four different energies using an iron scintillator target. Preliminary data are presented for beam energies of 250 and 280 GeV. (10 refs).
Using recently derived relations between spin-dependent nuclear and nucleon $g_1$ and $g_2$ structurefunctions at finite $Q^2$, we study nuclear effects in the $^3$He nucleus in the nucleon resonance and deep inelastic regions. We compare the finite-$Q^2$ results with the standard convolution formulas obtained in high-$Q^2$ kinematics, and quantify the nuclear effects on the neutron structurefunctions extracted from $^3$He data.
The contribution of the nucleonic component to deep inelastic lepton scattering off {sup 2}H, {sup 3}H, {sup 3}He, and {sup 4}He nuclei is analyzed in terms of momentum distributions and spectral functions obtained from few-body calculations which employ realistic nucleon-nucleon interactions. The nuclear structurefunction is evaluated within the framework of the convolution model taking relativistic effects into account by means of the flux factor. A comparison with previous calculations performed with a nonrelativistic normalization of the spectral function and using, in the case of {sup 4}He, an independent particle model, is presented. It is shown that short-range and tensor correlations resulting from realistic nucleon-nucleon interactions strongly increase the nucleon mean removal and kinetic energies and, consequently, enhance the calculated European Muon Collaboration effect in the direction suggested by the experimental data in the region 0.2{le}{ital x}{le}0.7; for {ital x}{le}0.2 and {ital x}{ge}0.7, an appreciable discrepancy between theory and experiment still persists and the difficulties in giving an interpretation of the effect in the whole range of {ital x}, in terms of nucleonic degrees of freedom only, are pointed out. The role of {ital Q}{sup 2} rescaling is analyzed; it is found that present experimental data seem to require only a small increase of the quark confinement size for a nucleon imbedded in the nuclear medium. The nuclear structurefunction for three-nucleon systems is calculated in the region {ital x}{gt}1, where it is shown to be very sensitive to the correlation structure of the nucleon spectral function.
The current experimental status of measurements of nucleonstructurefunctions in deep inelastic lepton scattering is presented. Recent BCDMS and SLAC results provide a consistent data set for charged lepton scattering. New probes of parton distributions: direct photons, Drell Yan di-muon production, W, Z and heavy quark production are providing information on the gluon an antiquark distributions. The implications of these data on our understanding of the structure of the nucleon, and the structure of the nucleon in the nucleus are discussed. 26 refs., 9 figs.
We discuss the role of the U(1) axial anomaly in the spin structurefunctions of the nucleon, with particular emphasis on how one might determine its x dependence in present and future deep inelastic scattering experiments. We focus on the C-odd spin structurefunction g3 and also the deuteron structurefunction g1^d.
The deep-inelastic electromagnetic structurefunctions of deuterium and aluminum nuclei have been measured. The kinematic dependence of the ratio of aluminum and deuterium structurefunctions is similar to the dependence of the ratio of steel and deuterium structurefunctions, and provides further evidence for the distortion of the quark momentum distributions of nucleons bound in a nucleus.
We calculate the connected insertions of the nucleon three-point function to study the first few moments of the unpolarized structurefunctions of the nucleon. (The disconnected insertions are discussed elsewhere in these proceedings). The calculation employs the CP-PACS/JLQCD 2+1 dynamical clover fermions on a 16^3x32 lattice with lattice spacing a=0.1219 fm. The sequential source technique, using non-zero and zero momentum point nucleon field as the secondary source, is applied enabling a study of different currents at various momentum transfer.
The spin structure of the nucleon is studied by the COMPASS collaboration using scattering of muons off polarised protons and deuterons. From the resulting asymmetries spin structurefunctions are extracted and the flavour decomposition of the quark contribution to the nucleon spin is studied. The gluon polarisation is investigated using the photon-gluon fusion process. Here, two main channels are investigated, open charm production and high $p_{T}$ hadron pair production. Also first measurements of unpolarised cross sections are reported.
It may appear unusual to have a contribution on neutrino scattering at a school devoted to electromagnetic probes, as the neutrino has no known electromagnetic couplings. However, as a means to examine the hidden flavor currents in the nucleon, the recent results observed for the spin structurefunction of the nucleon have focused attention on the nucleon's neutral weak currents (NWC). When an electromagnetic probe is scattered elastically from a nucleon, the NWC interactions are observable only through the detection of very small (less than 10(exp -6)) parity-violating processes. In the case of neutrino scattering, the NWC is the dominant coupling. In what follows it will be shown how the nucleon's vector and axial vector form factors arising from strange quark currents can be measured via neutrino elastic scattering. Preliminary results from the Large Scintillation Neutrino Detector (LSND) at LAMPF will be presented as well as a recent analysis of an earlier experiment (E734) carried out at Brookhaven.
Longitudinal and transverse quark momentum distributions in the nucleon are calculated from a phenomenological quark-nucleon vertex function obtained through an investigation of the nucleon electromagnetic form factors within a light-front framework.
We study the influence of the EMC effect of nucleon mass-shift and short-range correlations determining a high momentum part of the nucleon momentum distribution. The dispersion relation technique is used, the nucleus being treated as a system consisting of A nucleus. It is shown that the ratio of the structurefunctions F/sub 2//sup A/(x)/F/sub 2//sup N/(x) is very sensitive to the correlations in the region x > or approx. 0.3. It is also shown that decrease of the nucleon mass by approx. = 65 MeV, compared to the free value, leads to a quite satisfactory description of the EMC effect.
The adequacy of a multiple scattering description of nucleon-deuteron scattering at intermediate energy is examined. Although the multiple-scattering series is expected to converge slowly, model calculations indicate that the higher-order multiple-scattering terms contribute only to the low-order partial waves. The first two terms, nucleon exchange and single scattering, are assumed to describe the high-order partial waves completely. It is assumed that the deuteron is coupled only to the nucleon channel and that the internal structure is adequately defined by a nonrelativistic wave function.
The short-range and tensor correlations associated to realistic nucleon-nucleon interactions induce a population of high-momentum components in the many-body nuclear wave function. We study the impact of such high-momentum components on bulk observables associated to isospin asymmetric matter. The kinetic part of the symmetry energy is strongly reduced by correlations when compared to the non-interacting case. The origin of this behavior is elucidated using realistic interactions with different short-range and tensor structures.
High-energy antipp and pp elastic data from the CERN Collider and the ISR are analyzed in the nucleon valence core model. Diffraction is described by a profile function that incorporates crossing symmetry and saturation of Froissart-Martin bound. The model is found to provide a very satisfactory description of the elastic scattering over the whole range of energy and momentum transfer. Implications of the analysis on QCD models of nucleonstructure are pointed out.
Algorithmic progress in recent years made it possible to simulate QCD with N{sub f}=2 flavours of O(a)-improved Wilson fermions at very light quark masses. We present the current results for baryon spectrum states, the nucleon axial coupling and the lowest moment of unpolarised nucleonstructurefunctions. Special emphasis is given to a comparison of our calculations with results from chiral effective theories. (orig.)
Detailed relativistic formalisms for the nuclear structurefunction in terms of the conventional nucleon constituents, via covariant light-cone kinematics are derived and the structurefunction ratio is calculated. The relativistic impulse approximation is used by neglecting the final-state interaction. It is stressed that the active nucleon and spectator nucleus must be off and on its mass shell, respectively. It is revealed that the traditional normalization condition for the nuclear-density-distribution function may be incompatible with the momentum sum rule. It is also pointed out that the relativistic nuclear-density-distribution function has a rather different momentum dependence than the nonrelativistic nuclear model has. (orig.).
Using the manifestly covariant spectator theory and modeling the nucleon as a system of three constituent quarks with their own electromagnetic structure, we show that all four nucleon electromagnetic form factors can be very well described by a manifestly covariant nucleon wave function with zero orbital angular momentum. Since the concept of wave function depends on the formalism, the conclusions of light-cone theory requiring nonzero angular momentum components are not inconsistent with our results. We also show that our model gives a qualitatively correct description of deep inelastic scattering, unifying the phenomenology at high and low momentum transfer. Finally, we review two different definitions of nuclear shape and show that the nucleon is spherical in this model, regardless of how shape is defined.
A systematic investigation of the inclusive cross sections for single-nucleon knockout reactions from p-shell nuclei has been performed. A total of seven reactions were studied for projectiles with masses between A=7 and 10, having a wide range of nucleon separation energies. Results were obtained for a range of incident beam energies and targets. These differences were found to have a minimal impact on the deduced cross sections. Experimental results were compared to theoretical predictions based on variational Monte Carlo (VMC) nuclear structure calculations, whose radial overlap functions and neutron and proton densities were included in the reaction description. These results are compared with the conventional model, developed for heavier nuclei, that uses shell-model and Hartree-Fock structure inputs. The VMC-based calculations agreed with the experimental data for several reactions where deeply bound nucleons are removed but does not describe some of the more weakly bound nucleon removal cases with comparable accuracy.
Nucleon spin physics will be studied in the HERMES experiment, that will use polarized internal targets of essentially pure atomic H, D, and {sup 3}He in the HERA electron storage ring at DESY. A series of measurements of spin-dependent properties of the nucleon and few-body nuclei will be made; the spin structurefunction g{sub 1}(x) of the proton and neutron will be measured to test the Bjorken sum rule and study the fraction of the nucleon spin carried by quarks; the spin structurefunction g{sub 2}W, sensitive to quark-gluon correlations, and the structurefunctions b{sub 1}(x), and {Delta}(x), sensitive to nuclear binding effects, will be measured; and, using the particle identification capability of the HERMES detector, pions will be detected in coincidence with the scattered electrons. The coincident hadron measurements represent the most important extension that can be made at this time to the existing measurements on the nucleon spin structurefunctions because they provide information about the flavor-dependence of the quark spin distribution in the nucleon. Argonne is providing the Cerenkov counter to be used for particle identification and developing the drifilm coating technique for the ultrathin target cell required for this experiment. The HERMES collaboration intends to use polarized targets with the highest available figures of merit, and the Argonne laser-driven source offers the most promise for a significant advance in present-day targets.
The third moment $d_2$ of the twist-3 part of the nucleon spin structurefunction $g_2$ is generalized to arbitrary momentum transfer $Q^2$ and is evaluated in heavy baryon chiral perturbation theory (HBChPT) up to order ${\\mathcal{O}}(p^4)$ and in a unitary isobar model (MAID). We show how to link $d_2$ as well as higher moments of the nucleon spin structurefunctions $g_1$ and $g_2$ to nucleon spin polarizabilities. We compare our results with the most recent experimental data, and find a good description of these available data within the unitary isobar model. We proceed to extract the twist-4 matrix element $f_2$ which appears in the $1/Q^2$ suppressed term in the twist expansion of the spin structurefunction $g_1$ for proton and neutron.
Measurements of the deep-inelastic scattering (DIS) of leptons and nucleons, $e+p\\to e+X$, allow the extraction of Parton Distribution Functions (PDFs) which describe the longitudinal momentum carried by the quarks, anti-quarks and gluons that make up the fast-moving nucleons. While PDFs provide crucial input to perturbative Quantum Chromodynamic (QCD) calculations of processes involving hadrons, they do not provide a complete picture of the partonic structure of nucleons. In particular, PDFs contain neither information on the correlations between partons nor on their transverse motion. Hard exclusive processes, in which the nucleon remains intact, have emerged in recent years as prime candidates to complement this essentially one dimentional picture. The simplest exclusive process is the deeply virtual Compton scattering (DVCS) or exclusive production of real photon, $e + p \\to e + \\gamma + p$. This process is of particular interest as it has both a clear experimental signature and is calculable in perturbat...
New possibilities arising from the availability at GSI of antiproton beams, possibly polarised, are discussed. The investigation of the nucleonstructure can be boosted by accessing in Drell-Yan processes experimental asymmetries related to cross-sections in which the parton distribution functions (PDF) only appear, without any contribution from fragmentation functions; such processes are not affected by the chiral suppression of the transversity function $h_1(x)$. Spin asymmetries in hyperon production and Single Spin Asymmetries are discussed as well, together with further items like electric and magnetic nucleonic form factors and open charm production. Counting rates estimations are provided for each physical case. The sketch of a possible experimental apparatus is proposed.
The optical potentials by relativistic impulse approximation (RIA) are utilized for the high energy nucleon incidence. The nucleon-nucleon scattering amplitudes are derived from the phase shift and parametrized as a function of the incident nucleon energy. The optical potential by RIA reproduces the experimental data. (author)
We study the single spin asymmetry (SSA) induced by purely gluonic correlation inside a nucleon, in particular, by the three-gluon correlation functions in the transversely polarized nucleon, $p^\\uparrow$. This contribution is embodied as a twist-3 mechanism in the collinear factorization framework and controls the SSA to be observed in the $D$-meson production with large transverse-momentum in semi-inclusive DIS (SIDIS), $ep^\\uparrow \\rightarrow eDX$. We define the relevant three-gluon correlation functions in the nucleon, and determine their complete set at the twsit-3 level taking into account symmetry constraints in QCD. We derive the single-spin-dependent cross section for the $D$-meson production in SIDIS, taking into account all the relevant contributions at the twist-3 level. The result is obtained in a manifestly gauge-invariant form as the factorization formula in terms of the three-gluon correlation functions and reveals the five independent structures with respect to the dependence on the azimutha...
We determine the quark distributions and structurefunctions for both unpolarized and polarized DIS of leptons on nucleons and nuclei. The scalar and vector mean fields in the nucleus modify the motion of the quarks inside the nucleons. By taking into account this medium modification, we are able to reproduce the experimental data on the unpolarized EMC effect, and to make predictions for the polarized EMC effect. We discuss examples of nuclei where the polarized EMC effect could be measured. We finally present an extension of our model to describe fragmentation functions.
The nucleon distribution amplitudes and the nucleon-to-pion transition distribution amplitudes are investigated at leading twist within the frame of a light-cone quark model. The distribution amplitudes probe the three-quark component of the nucleon light-cone wave function, while higher order components in the Fock-space expansion of the nucleon state are essential to describe the nucleon-to-pion transition distribution amplitudes. Adopting a meson-cloud model of the nucleon the nucleon-to-pion transition distribution amplitudes are calculated for the first time.
Various modern nucleon-nucleon (NN) potentials yield a very accurate fit to the nucleon-nucleon scattering phase shifts. The differences between these interactions in describing properties of nuclear matter are investigated. Various contributions to the total energy are evaluated employing the Hellmann - Feynman theorem. Special attention is paid to the two-nucleon correlation functions derived from these interactions. Differences in the predictions of the various interactions can be traced back to the inclusion of non-local terms.
The physical importance of nucleon-nucleon diffraction and the main differences with well understood nucleon-nucleus diffraction is discussed. In the theoretical description of nucleon-nucleon diffraction in terms of the eikonal model, the hypothesis of factorization is shown to be in contradiction with the energy dependence of the impact parameter profile in proton-proton scattering at CERN-ISR. This dependence is highly non-uniform in impact parameter, giving rise to a pronounced peripheral increase with energy of the inelastic overlap function.
We derive structurefunctions for the quasielastic production of octet baryons in neutrino and antineutrino interactions with nucleons and study the polarization of tau leptons produced in the $\\Delta{Y}=0$ reactions. Possible impact of the charged second-class currents is investigated by adopting a simple phenomenological parametrization for the nonstandard scalar and tensor nucleon form factors. Our choice of the unknown parameters is made to satisfy the limits obtained in the (anti)neutrino scattering experiments and rigid restrictions derived from the nuclear structure studies.
The polarized structurefunction of the g{sub 1}{sup n} neutron was measured at SLAC within the frame of the E154 collaboration using a polarized electron incident beam and a polarized helium 3 target. The Bjorken sum rule was experimentally confirmed and the mean value for the quark spin contribution to the nucleon spin is estimated to be {Delta}{Sigma}=30{+-}4%.
We calculate both the spin independent and spin dependent nuclear structurefunctions in an effective quark theory. The nucleon is described as a composite quark-diquark state, and the nucleus is treated in the mean field approximation. We predict a sizable polarized EMC effect, which could be confirmed in future experiments.
The current experimental status of the spin dependent structurefunctions as measured in polarized deep inelastic scattering of charged leptons from nucleons is reviewed. The proposals for new experiments at CERN, SLAC and HERA are discussed with special emphasis on the experiment of the Spin Muon collaboration at CERN which has started data taking.
The current experimental status of the spin dependent structurefunctions as measured in polarized deep inelastic scattering of charged leptons from nucleons is reviewed. The proposals for new experiments at CERN, SLAC and HERA are discussed with special emphasis on the experiment of the Spin Muon collaboration at CERN which has started data taking.
Some higher twist corrections to the Bjorken sum rule are estimated in the framework of a quark-diquark model of the nucleon. The parameters of the model have been previously fixed by fitting the measured higher twist corrections to the unpolarized structurefunction F_2(x, Q^2). The resulting corrections to the Bjorken sum rule turn out to be negligible.
The (e,e'p) reaction is an efficient and accurate means to probe nuclear structure because of its simplicity (in the case of light nuclei exact calculations can be made) and because the entire nuclear volume is probed. Now high energy electron beams are available which allows nuclear matter to be investigated on distances shorter than the nucleon diameter, and as a consequence the measurement of effects linked to the internal structure of the nucleon appears reachable. Recent experiments performed at the Jefferson Laboratory on deuterium and helium targets have shown that the cross-section (e,e'p) with high momentum missing is dominated by many-body processes involving the propagation of a nucleon in the nuclear matter. The importance of these re-diffusion mechanisms can be amplified or minimized by acting on the value of the missing momentum or on the angle of the recoil particle. These experiments highlight the sensitivity of the He{sup 3}(e,e'p)pn reactions to nucleon-nucleon correlations and their importance at high momentum missing. Theoretical results predict a very narrow window in anti-parallel kinematics through which an important reduction of the many-body mechanism is expected. The study of the color transparency effect through quasi-elastic scattering in light nuclei uses the re-diffusion features to show the existence of a small spatial extension of the nucleon's wave function. Recent development in the formalism of generalized parton distributions open the way for a systematic and complete study of the internal structure of the nucleon. (A.C.)
Target mass correction (TMC) is employed to amend the polarized helium structurefunctions, 3He . The structurefunction can be obtained via the convolution of the light cone momentum distribution with the polarized structure of the proton and neutron. The calculation of the polarized structurefunction of the nucleon is based on the constituent quark model. The analytical result for 3He polarized structurefunction at low values of Q2 is not in good agreement with the available experimental data. The reliability of calculations is increased using TMC effect. New comparison confirms a better agreement with the experimental data.
Target mass correction (TMC) is employed to amend the polarized helium structurefunctions, {sup 3}He. The structurefunction can be obtained via the convolution of the light cone momentum distribution with the polarized structure of the proton and neutron. The calculation of the polarized structurefunction of the nucleon is based on the constituent quark model. The analytical result for {sup 3}He polarized structurefunction at low values of Q{sup 2} is not in good agreement with the available experimental data. The reliability of calculations is increased using TMC effect. New comparison confirms a better agreement with the experimental data. (orig.)
The binding energy in nuclear matter is evaluated within the framework of self-consistent Green's function theory, using a realistic nucleon-nucleon interaction. The two-body dynamics is solved at the level of summing particle-particle and hole-hole ladders. We go beyond the on-shell approximation and use intermediary propagators with a discrete-pole structure. A three-pole approximation is used, which provides a good representation of the quasiparticle excitations, as well as reproducing the zeroth- and first-order energy-weighted moments in both the nucleon removal and addition domains of the spectral function. Results for the binding energy are practically independent of the details of the discretization scheme. The main effect of the increased self-consistency is to introduce an additional density dependence, which causes a shift towards lower densities and smaller binding energies, as compared to a (continuous choice) Brueckner calculation with the same interaction. Particle number conservation and the Hugenholz-Van Hove theorem are satisfied with reasonable accuracy.
Recent progress in the study of the nucleonstructure at Jefferson Lab is presented. Precision measurements of spin asymmetry in the valence quark (large x) region are shown and the polarized quark distributions were extracted. The results were in disagreement with predictions from the leading-order pQCD calculations assuming hadron helicity conservation and revealed the importance of the quark orbital angular momentum. Results on sum rules and moments of the nucleon spin structurefunctions in the low to intermediate Q{sup 2} range are also presented. They provide a bridge between the quark-gluon picture of the nucleon and the coherent hadronic picture. In particular, at low Q{sup 2} the results were compared with Chiral Perturbation Theory calculations. Other experiments are also briefly discussed.
%NA58 %title\\\\ \\\\COMPASS is a new fixed target experiment at the SPS to study hadron spectroscopy with hadron beams (up to 300~GeV/c) and hadron structure with polarized muon beams (100-200~GeV/c).\\\\ \\\\The main physics objective of the muon beam program is the measurement of $\\Delta$G, the gluon polarization in a longitudinally polarized nucleon. More generally, it is planned to measure the flavour separated spin structurefunctions of the nucleons in polarized muon - polarized nucleon deep inelastic scattering, both with longitudinal and transverse target polarization modes. For these measurements a new 1.3~m long polarized target and a superconducting solenoid with 200~mrad acceptance will be used.\\\\ \\\\The hadronic program comprises a search for glueballs in the high mass region (above 2~GeV/c$^{2}$) in exclusive diffractive pp scattering, a study of leptonic and semileptonic decays of charmed hadrons with high statistics and precision, and Primakoff scattering with various probes. A detailed investigation ...
Measurements of the nucleon form factor and structurefunction seem to indicate an inhomogeneous distribution of flavor, charge and spin within the nucleon. It is argued that the ordinary three-quark model with a spin-spin force of the type suggested by QCD can explain the inhomogeneity as seen at different resolutions. This agreement suggests a specific bound quark picture of the nucleonstructure with a positive core of u and d quarks in a spin-O state of ms radius 0.17 {plus_minus} 0.01 fm{sup 2} and an outer layer of a linear size {approximately} 1 fm where the polarized u (in the proton) or d (in the neutron) is orbiting. 21 refs., 3 figs.
Measurements of the nucleon form factor and structurefunction seem to indicate an inhomogeneous distribution of flavor, charge and spin within the nucleon. It is argued that the ordinary three-quark model with a spin-spin force of the type suggested by QCD can explain the inhomogeneity as seen at different resolutions. This agreement suggests a specific bound quark picture of the nucleonstructure with a positive core of u and d quarks in a spin-O state of ms radius 0.17 {plus minus} 0.01 fm{sup 2} and an outer layer of a linear size {approximately} 1 fm where the polarized u (in the proton) or d (in the neutron) is orbiting. 21 refs., 3 figs.
The deep-inelastic electromagnetic structurefunctions of steel, deuterium, and hydrogen nuclei have been measured with use of the high-energy electron beam at the Stanford Linear Accelerator Center. The ratio of the structurefunctions of steel and deuterium cannot be understood simply by corrections due to Fermi-motion effects. The data indicate that the quark momentum distributions in the nucleon become distorted in the nucleus. The present results are consistent with recent measurements with high-energy muon beams.
Working within the framework of the Coulomb modified Glauber model and using the optical limit approximation to evaluate the elastic S-matrix, we use a parameterized effective nucleon-nucleon phase shift function instead of the frequently applied Gaussian parameterization of the nucleon-nucleon scattering amplitude to compute elastic differential cross sections for alpha particles. Our phenomenological ansatz contains three parameters which are adjusted in order to reproduce the alpha nucleus elastic scattering data for one nucleus at each of three beam energies. It is found that once the nucleon-nucleon phase shift function is so calibrated, our model very nicely reproduces elastic alpha scattering data on other nuclei at the same energy.
Nucleon and pion electromagnetic form factors are evaluated in the spacelike region within a light-front constituent quark model, where eigenfunctions of a mass operator, reproducing a large set of hadron energy levels, are adopted and quark form factors are considered in the one-body current. The hadron form factors are sharply affected by the high momentum tail generated in the wave function by the one-gluon-exchange interaction. Useful information on the electromagnetic structure of light constituent quarks can be obtained from the comparison with nucleon and pion experimental data.
Generalized parton distributions (GPDs) have become a standard QCD tool for analyzing and parametrizing the non perturbative parton structure of hadron targets. GPDs might be viewed as non-diagonal overlaps of light-cone wave functions and offer the opportunity to study the partonic content of the nucleon from a new perspective, allowing one to study the interplay between longitudinal and transverse partonic degrees of freedom. In particular, we will review some of the new information encoded in the GPDs through the definition of impact-parameter dependent parton distributions and form factors of the energy-momentum tensor, by exploiting different dynamical models for the nucleon state.
COMPASS at CERN is preparing for a new series of measurements on the nucleonstructure comprising deep virtual Compton scattering and hard exclusive meson production using muon beams, as well as Drell-Yan reactions using a polarised proton target and a negative pion beam. The former will mainly constrain the generalised parton distribution H and determine the transverse size of the nucleon, while the latter measurements will provide information on transverse-momentum dependent parton distribution functions. The projected results of the programme and the necessary hardware upgrades are discussed.
A relativistic constituent quark model is applied to the gamma N -> N(1535) transition. The N(1535) wave function is determined by extending the covariant spectator quark model, previously developed for the nucleon, to the S11 resonance. The model allows us to calculate the valence quark contributions to the gamma N -> N(1535) transition form factors. Because of the nucleon and N(1535) structure the model is valid only for Q^2> 2.3 GeV^2. The results are compared with the experimental data for the electromagnetic form factors F1* and F2* and the helicity amplitudes A_1/2 and S_1/2, at high Q^2.
We present the model for the parton distribution in nuclei based on the assumption that nuclear Fermi motion fully accounts for the collective motion of partons in nuclear medium. The sea parton distributions are described by additional virtual pions in nucleus in such a way as to reproduce the nuclear lepton pair production data and saturate the energy-momentum sum rule. The influence of the Fermi energy changes the nucleon rest nergy and consequently the nucleonstructurefunction inside nucleus. Very good agreement with the experimental data for x > 0.15 has been obtain.
The contribution of the depth of the nuclear potential to the localisation of the single-particle wave-function, leading to clusterisation, is investigated using energy density functionnals. In this framework the formation of clusters indicates that nuclei behave like a Fermi liquid close to the liquid to solid transition. An analytical interpretation is provided using the harmonic oscillator approximation. The emergence of various structures in nucleonic matter, such as crystal, clusters, liquid drops and haloes is analysed. Haloes and clusters exhibit opposite features with respect to nucleonic localization.
Without any further adjusting of parameters, a relativistic constituent quark model, successful in the description of the data for the nucleon elastic form factors and the dominant contribution to the nucleon to $\\Delta$ electromagnetic transition, is used here to predict the dominant electromagnetic form factors of the $\\Delta$ baryon. The model considered is based on a simple $\\Delta$ wave function corresponding to a quark-diquark system in an S-state. The results for E0 and M1 are consistent both with experimental results and lattice calculations. The remaining form factors M1 and E2 are negligible for small $Q^2$, as expected, given the symmetric structure considered for the $\\Delta$.
Without any further adjusting of parameters, a relativistic constituent quark model, successful in the description of the data for the nucleon elastic form factors and the dominant contribution to the nucleon to Delta electromagnetic transition, is used here to predict the dominant electromagnetic form factors of the Delta baryon. The model considered is based on a simple Delta wave function corresponding to a quark-diquark system in an S-state. The results for E0 and M1 are consistent both with experimental results and lattice calculations. The remaining form factors M3 and E2 vanishes, given the symmetric structure considered for the Delta.
The effects of the final state interaction (FSI) in semi inclusive deep inelastic electron scattering processes $A(e,e'p)X$ off nuclei are investigated in details. Proton production is described within the spectator and the target fragmentation mechanisms whose relevance to the experimental study of the deep inelastic structurefunctions of bound nucleons and the non perturbative hadronization process is analyzed. Particular attention is paid to the deuteron target within kinematical conditions corresponding to the available and forthcoming experimental data at Jlab. We argue that there are kinematical regions where FSI effects are minimized, allowing for a reliable investigation of the DIS structurefunctions, and regions where the interaction of the quark-gluon debris with nucleons is maximized, which makes it possible to study hadronization mechanisms. Nuclear structure has been described by means of realistic wave functions and spectral functions and the final state interaction has been treated within an ...
The nucleon-nucleon t-matrix is calculated directly as function of two vector momenta for different realistic NN potentials. The angular and momentum dependence of the full amplitude is studied and NN observables are calculated.
A spin-isospin dependent three-dimensional approach has been applied for formulation of the three-nucleon bound state and a new expression for Faddeev equation based on three-nucleon free basis state has been obtained. Then the three-nucleon wave function has been obtained as a function of five independent variables.
Using the covariant spectator theory (CST), we present the results of a valence quark-diquark model calculation of the nucleonstructurefunction f(x) measured in unpolarized deep inelastic scattering (DIS), and the structurefunctions g1(x) and g2(x) measured in DIS using polarized beams and targets. Parameters of the wave functions are adjusted to fit all the data. The fit fixes both the shape of the wave functions and the relative strength of each component. Two solutions are found that fit f(x) and g1(x), but only one of these gives a good description of g2(x). This fit requires the nucleon CST wave functions contain a large D-wave component (about 35%) and a small P-wave component (about 0.6%). The significance of these results is discussed.
Using the covariant spectator theory (CST), we present the results of a valence quark-diquark model calculation of the nucleonstructurefunction f(x) measured in unpolarized deep inelastic scattering (DIS), and the structurefunctions g1(x) and g2(x) measured in DIS using polarized beams and targets. Parameters of the wave functions are adjusted to fit all the data. The fit fixes both the shape of the wave functions and the relative strength of each component. Two solutions are found that fit f(x) and g1(x), but only one of these gives a good description of g2(x). This fit requires the nucleon CST wave functions contain a large D-wave component (about 35%) and a small P-wave component (about 0.6%). The significance of these results is discussed.
We derive the nucleon non-perturbative sea-quark distributions coming from a composite model involving quarks and hadronic degrees of freedom. The model predicts a definite structured quark-antiquark asymmetry in the nucleon sea.
We summarize recent progress in the studies of the short-rang correlations (SRC) in nuclei in high energy electron and hadron nucleus scattering and suggest directions for the future high energy studies aimed at establishing detailed structure of two-nucleon SRCs, revealing structure of three nucleon SRC correlations and discovering non-nucleonic degrees of freedom in nuclei.
The COMPASS experiment at CERN is studying since 2002 the spin structure of the nucleon, both for longitudinal and transverse nucleon spin. In the first case, the measurements of DIS and SIDIS asymmetries, including also high-$p_{T}$ hadron production and $D^{0}$ mesons, allow to access the nucleon longitudinal PDFs, their first moments and the gluon polarization. The LO analysis, performed by COMPASS have shown that $\\Delta g/g$ is small around $x_{g}\\simeq 0.1$, and its first moment should not be larger than 0.2 $?$ 0.3 in absolute value. Transverse spin effects have rised large interest in the last 10 years and the measurements performed have shown evidence for new phenomena, associated with transverse momentum dependent distribution and fragmentation functions. Collins and Sivers asymmetries obtained by COMPASS on a proton target, together with the latest results on unpolarized modulations on the deuterated $^{6}$Li target will be shown here.
Inclusive electron scattering data are presented for ^2H and Fe targets at an incident electron energy of 4.045 GeV for a range of momentum transfers from Q^2 = 1 to 7 (GeV/c)^2. Data were taken at Jefferson Laboratory for low values of energy loss, corresponding to values of Bjorken x greater than or near 1. The structurefunctions do not show scaling in x in this range, where inelastic scattering is not expected to dominate the cross section. The data do show scaling, however, in the Nachtmann variable \\xi. This scaling may be the result of Bloom Gilman duality in the nucleonstructurefunction combined with the Fermi motion of the nucleons in the nucleus. The resulting extension of scaling to larger values of \\xi opens up the possibility of accessing nuclear structurefunctions in the high-x region at lower values of Q^2 than previously believed.
The nucleon momentum distribution n_A(k) for A=2, 3, 4, 16, and 40 nuclei is systematically analyzed in terms of wave functions resulting from advanced solutions of the non-relativistic Schr\\"{o}dinger equation, obtained within different many-body approaches and different realistic nucleon-nucleon (NN) interactions. In order to analyze and understand the frequently addressed question concerning the relationships between the nucleus, n_A(k), and the deuteron, n_D(k), momentum distributions, the spin(S)-isospin (T) structure of few-nucleon systems and complex nuclei is analyzed in terms of realistic NN interactions and many-body approaches. To this end the number of NN pairs in agiven (ST) state, viz. (ST)=(10), (00), (01), and (11), and the contribution of these states to the nucleon momentum distributions, are calculated. It is shown that, apart from the (00) state which has very small effects, all other spin-isospin states contribute to the momentum distribution in a wide range of momenta. It is shown that t...
Two-nucleon momentum distributions are calculated for the ground states of nuclei with mass number A {le} 8, using accurate variational Monte Carlo wave functions derived from a realistic Hamiltonian with two- and three-nucleon potentials. The momentum distribution of 'np' pairs is found to be much larger than that of 'pp' pairs for values of the relative momentum in the range (300--600) MeV/c and vanishing total momentum. This large difference, more than an order of magnitude, is seen in all nuclei considered, and has a universal character originating from the tensor components present in any realistic nucleon-nucleon potential. The correlations induced by the tensor force strongly influence the structure of 'np' pairs, which are known to be predominantly in deuteron-like states, while they are ineffective for 'pp' pairs, which are mostly in {sup 1}S{sub 0} states. These features should be easily observable in two-nucleon knock-out processes, for example in A(e,e{prime} np) and A(e,e{prime} pp) reactions.
The possibility of a reliable extraction of the neutron deep inelastic structurefunction, $F_2^n(x)$, for $ x < 0.85$ from joint measurements of deep inelastic structurefunctions of deuteron, $^{3}He$ and $^{3}H$ is investigated. The model dependence in this extraction, linked to the possible different interactions between nucleons in nuclei, is shown to be weak, if the nuclear structure effects are properly taken into account. A combined analysis of the deep inelastic structurefunctions of these nuclei is proposed to study effects beyond the impulse approximation.
We investigate the influence of the nucleon-nucleon collision profile (probability of interaction as a function of the nucleon-nucleon impact parameter) in the wounded nucleon model and its extensions on several observables measured in relativistic heavy-ion collisions. We find that the participant eccentricity coefficient, $\\epsilon^\\ast$, as well as the higher harmonic coefficients, $\\epsilon_n^\\ast$, are reduced by 10-20% for mid-peripheral collisions when the realistic (Gaussian) profile is used, as compared to the case with the commonly-used hard-sphere profile. Similarly, the multiplicity fluctuations, treated as the function of the number of wounded nucleons in one of the colliding nuclei, are reduced by 10-20%. This demonstrates that the Glauber Monte Carlo codes should necessarily use the realistic nucleon-nucleon collision profile in precision studies of these observables. The Gaussian collision profile is built-in in {\\tt GLISSANDO}.
The following topics were dealt with: QCD parton dynamics, results form the H1 and ZEUS experiments at HERA, the spin structure of the nucleon, QCD Monte Carlo generators, results from the Jefferson Lab, lattice QCD, results from the Tevatron, heavy flavour production, the fluid nature of the quark-gluon plasma, QCD dynamics in hadrons and nuclei at high energies, QCD and string theory, structurefunctions, electroweak measurements, physics beyond the Standard Model, diffraction and vector mesons, spin physics. (HSI)
We derive relations between spin-dependent nuclear and nucleon g_1 and g_2 structurefunctions, valid at all Q^2, and in both the resonance and deep inelastic regions. We apply the formalism to the specific case of the deuteron, which is often used as a source of neutron structure information, and compare the size of the nuclear corrections calculated using exact kinematics and using approximations applicable at large Q^2.
QCD sum rules of the nucleon channel are reanalyzed, using the maximum entropy method (MEM). This new approach, based on the Bayesian probability theory, does not restrict the spectral function to the usual "pole + continuum"-form, allowing a more flexible investigation of the nucleon spectral function. We find that the Gaussian sum rules are more suitable for the MEM analysis to extract the nucleon pole in the region of its experimental value, while the Borel sum rules do not contain enough information to clearly separate the nucleon pole from the continuum. Using the same method, we also discuss the dependence of the nucleon spectral function on the employed interpolating field operator.
Nuclear matter calculations based on low-momentum interactions derived from chiral nucleon-nucleon and three-nucleon effective field theory interactions and fit only to few-body data predict realistic saturation properties with controlled uncertainties. This is promising for a unified description of nuclei and to develop a universal density functional based on low-momentum interactions.
In the "nucleon-phase" model of binary fission, the transfer of nucleons between an A =126 {\\guillemotleft} nucleon core {\\guillemotright} and the primordial "cluster" can explain both the formation of high- spin states and the saw-tooth behavior of the variation, as a function of fragment mass, of the average angular momentum.
An effective hadronic lagrangian consistent with the symmetries of quantum chromodynamics and intended for applications to finite-density systems is constructed. The degrees of freedom are (valence) nucleons, pions, and the low-lying non-Goldstone bosons, which account for the intermediate-range nucleon-nucleon interactions and conveniently describe the nonvanishing expectation values of nucleon bilinears. Chiral symmetry is realized nonlinearly, with a light scalar meson included as a chiral singlet to describe the mid-range nucleon-nucleon attraction. The low-energy electromagnetic structure of the nucleon is described within the theory using vector-meson dominance, so that external form factors are not needed. The effective lagrangian is expanded in powers of the fields and their derivatives, with the terms organized using Georgi's ``naive dimensional analysis''. Results are presented for finite nuclei and nuclear matter at one-baryon-loop order, using the single-nucleonstructure determined within the mod...
The strong interaction of nucleons at short distances leads to a high-momentum component to the nuclear wave function, associated with short-range correlations between nucleons. These short-range, high-momentum structures in nuclei are one of the least well understood aspects of nuclear matter, relating to strength outside of the typical mean-field approaches to calculating the structure of nuclei. While it is difficult to study these short-range components, significant progress has been made over the last decade in determining how to cleanly isolate short-range correlations in nuclei. We have moved from asking if such structures exist, to mapping out their strength in nuclei and studying their microscopic structure. A combination of several different measurements, made possible by high-luminosity and high-energy accelerators, coupled with an improved understanding of the reaction mechanism issues involved in studying these structures, has led to significant progress, and provided significant new information ...
In this talk I present some of the more recent developments within the Covariant Spectator Theory. My focus will be on aspects of the derivation of gauge invariant electromagnetic three-nucleon currents which are consistent with the hadronic equations and with the basic assumptions of this framework. Important dynamical ingredients of the three-nucleon currents are also discussed, namely the three-nucleon bound state vertex function and the two-nucleon interaction model they are derived from.
In this talk I present some of the more recent developments within the Covariant Spectator Theory. My focus will be on aspects of the derivation of gauge invariant electromagnetic three-nucleon currents which are consistent with the hadronic equations and with the basic assumptions of this framework. Important dynamical ingredients of the three-nucleon currents are also discussed, namely the three-nucleon bound state vertex function and the two-nucleon interaction model they are derived from.
In considering the nucleon parton distributions at low energy values, the non-perturbative effects will have an important role. It is usual to assume for the related vacuum a structure and attribute it a back ground field. It is very like to the situation which we have for Bohm-Aharnov effect when an electron moved in a region where there is not any magnetic field (vacuum). In this case we can attribute to the related vacuum a back ground field which is in fact the gauge field of electrodynamics force. The fluctuations which exist with respect to the concerned vacuum in QCD can appear as instantons and will effect on then nucleon parton distributions especially at low Bjorken-x values. A comparison between the proton structures when we consider the instanton effect with respect to the usual one, indicates the non-perturbative effect on extracting these functions. Considering this effect will yield a better result for the F2p structurefunction.
The doorway states under consideration are eigenstates of the hamiltonian which is the sum of the kinetic energy and the infinite energy limit of the single-particle mass operator. Only Hartree diagrams with the free-space nucleon-nucleon forces contribute to this limit, and therefore the observed doorway state energies carry an important information about both the nuclear structure and the free-space nucleon-nucleon interaction.
Abstract in spanish El concepto de un sistema dinuclear supone dos núcleos en contacto que pueden intercambiar nucleones entre ellos. Posibles aplicaciones de este modelo se encuentran en la estructura nuclear, reacciones de fusión para crear núcleos superpesados y la transferencia de varios nucleones. Abstract in english The dinuclear system concept assumes two touching nuclei which can exchange nucleons by transfer. This concept can be applied to nuclear structure, to fusion reactions leading to superheavy nuclei and to multi-nucleon transfer.
The investigation of transverse spin and transverse momentum dependent effects in deep inelastic scattering of muons off nucleons is one of the key physics programs of the COMPASS collaboration at CERN. We have investigated the effects from the data obtained with a polarized proton target. In order to access the transversity distribution function, following channels have been analyzed: The azimuthal distribution of single hadrons, the azimuthal dependence of the plane containing hadron pairs, and the measurement of the transverse polarization of lambda hyperons in the final state. The Sivers distribution function which is one of the transverse momentum dependent functions has been investigated also from the azimuthal distribution of single hadrons. Azimuthal asymmetries in unpolarized deep inelastic scattering give important information on the inner structure of the nucleon to access the so-far unmeasured Boer-Mulders function. We have measured these asymmetries using spin-averaged $^{6}$L$_{i}$D.
Over the past decade measurements of unpolarized structurefunctions at Jefferson Lab with unprecedented precision have significantly advanced our knowledge of nucleonstructure. These have for the first time allowed quantitative tests of the phenomenon of quark-hadron duality, and provided a deeper understanding of the transition from hadron to quark degrees of freedom in inclusive scattering. Dedicated Rosenbluth-separation experiments have yielded high-precision transverse and longitudinal structurefunctions in regions previously unexplored, and new techniques have enabled the first glimpses of the structure of the free neutron, without contamination from nuclear effects.
The density matrix expansion (DME) of Negele and Vautherin is a convenient tool to map finite-range physics associated with vacuum two- and three-nucleon interactions into the form of a Skyme-like energy density functional (EDF) with density-dependent couplings. In this work, we apply the improved formulation of the DME proposed recently in arXiv:0910.4979 by Gebremariam {\\it et al.} to the non-local Fock energy obtained from chiral effective field theory (EFT) two-nucleon (NN) interactions at next-to-next-to-leading-order (N$^2$LO). The structure of the chiral interactions is such that each coupling in the DME Fock functional can be decomposed into a cutoff-dependent coupling {\\it constant} arising from zero-range contact interactions and a cutoff-independent coupling {\\it function} of the density arising from the universal long-range pion exchanges. This motivates a new microscopically-guided Skyrme phenomenology where the density-dependent couplings associated with the underlying pion-exchange interactions...
There has recently been a great deal of discussion concerning the surprising differences in the measurements of the nucleonstructurefunction F/sub 2/(x,Q/sup 2/), off of a hydrogen target, by the high statistics muoproduction experiments EMC and BCDMS. In this short review I will attempt to summarize the status of the experimental measurements of the structurefunctions and highlight any significant disagreements. At the conclusion I will comment on the status of the extraction of the parton distribution functions from these measurements. 17 refs., 16 figs., 2 tabs.
We present an overview of the Hartree-Fock-Bogoliubov (HFB) theory of nucleonic superfluidity for finite nuclei. After introducing basic concepts related to pairing correlations, we show how the correlated pairs are incorporated into the HFB wave function. Thereafter, we present derivation and structure of the HFB equations within the superfluid nuclear density functional formalism and discuss several aspects of the theory, including the unitarity of the Bogoliubov transformation in truncated single-particle and quasiparticle spaces, form of the pairing functional, structure of the HFB continuum, regularization and renormalization of pairing fields, and treatment of pairing in systems with odd particle numbers.
For a Hamiltonian H(q), given in a suitable set of basis states, we construct diabatic states from requiring conservation of their nodal structure. The diabatic states and energies are single-valued functions for an arbitrary number of parameters q {identical_to} {l_brace}q1, q2,.., qf{r_brace}. The method is illustrated for nucleons moving in a deformed Woods-Saxon potential. (orig.)
The prospects for elastic scattering from few body systems with higher beam energies at CEBAF is presented. The deuteron and{sup 3}He elastic structurefunctions A(Q{sup 2}) can be measured at sufficiently high momentum transfers to study the transition between the conventional meson-nucleon and the constituent quark-gluon descriptions. Possible improvements in the proton magnetic form factor data are also presented.
We present novel results for the first moment of the spin-dependent structurefunction g{sub 1}(x,Q{sup 2}) of the nucleon at ''small'' (Q{sup 2} < 0.3 GeV{sup 2}) photon virtuality in the framework of a relativistic formulation of baryon chiral perturbation theory. We perform a next-to-leading order calculation and obtain significant differences to previously found results based on the heavy-baryon approach for the proton and neutron. (orig.)
Two-quark correlations due to gluon exchange give corrections to both the proton and neutron spin-dependent structurefunctions in the Bjorken sum rule. They are found to be as large as the pionic corrections in the cloudy bag model of the nucleon. While still not enough to explain the result published recently by the European Muon Collaboration, it is compatible with the reanalysis of the data by Close and Roberts.
Some higher twist corrections to the Bjorken sum rule are estimated in the framework of a quark-diquark model of the nucleon. The parameters of the model have been previously fixed by fitting the measured higher twist corrections to the unpolarized structurefunction F{sub 2}(x,Q{sup 2}). The resulting corrections to the Bjorken sum rule turn out to be negligible. (author). 15 refs, 1 fig.
We determine the polarized quark distributions and structurefunctions for nuclear media such as Li{sup 7} and Al{sup 27} by using a phenomenological model known as Thermodynamical Bag Model. The evaluation of nuclear medium modifications to single nucleonstructurefunction discusses the predictions of the polarized EMC effect. The deviation of polarized EMC from unpolarized case shows quenching of polarized quark distributions and proves the significance of this study as adding the spin observables will explore more about medium modification of nuclear structure and the nature of the strong interaction. (author)
Abstract in english We determine the polarized quark distributions and structurefunctions for nuclear media such as Li7 and Al27 by using a phenomenological model known as Thermodynamical Bag Model. The evaluation of nuclear medium modifications to single nucleonstructurefunction discusses the predictions of the polarized EMC effect. The deviation of polarized EMC from unpolarized case shows quenching of polarized quark distributions and proves the significance of this study as adding the (more) spin observables will explore more about medium modification of nuclear structure and the nature of the strong interaction.
Production cross sections of K$^+$ and K$^-$ mesons have been measured in C+C collisions at beam energies per nucleon below and near the nucleon-nucleon threshold. At a given beam energy, the spectral slopes of the K$^-$ mesons are significantly steeper than the ones of the K$^+$ mesons. The excitation functions for K$^+$ and K$^-$ mesons nearly coincide when correcting for the threshold energy. In contrast, the K$^+$ yield exceeds the K$^-$ yield by a factor of about 100 in proton-proton collisions at beam energies near the respective nucleon-nucleon thresholds.
Starting with a realistic quark model of nucleonstructure, in which quarks are strongly correlated with one another within the nucleon, the light nuclei {sup 2}H, {sup 3}H, {sup 3}He, and {sup 4}He can be constructed by assuming similar correlations with the quarks in neighboring nucleons. Importance of color loops created owing to the closure of quark ends of adjacent nucleons is emphasized. Applying the model to larger nucleon systems reveals the emergence of symmetries at the nuclear level that are isomorphic with those known from the independent-particle (shell) model.
Accurate quantum Monte Carlo calculations of ground and low-lying excited states of light p-shell nuclei have been made for realistic nuclear forces. These include two-nucleon potentials that reproduce nucleon-nucleon scattering data and meson-exchange three-nucleon potentials constrained to reproduce the binding energies of s-shell nuclei. At present, results for more than 40 different (J?;T) states in A ? 10 nuclei, plus isobaric analogs, have been obtained, with an excellent reproduction of the experimental energy spectrum. These microscopic calculations show that nuclear structure, including both single-particle and clustering aspects, can be explained starting from elementary two- and three-nucleon interactions.
Since the 1980's, the study of nucleon (proton or neutron) spin structure has been an active field both experimentally and theoretically. One of the primary goals of this work is to test our understanding of Quantum Chromodynamics (QCD), the fundamental theory of the strong interaction. In the high energy region of asymptotically free quarks, QCD has been verified. However, verifiable predictions in the low energy region are harder to obtain due to the complex interactions between the nucleon's constituents: quarks and gluons. In the non-pertubative regime, low-energy effective field theories such as chiral perturbation theory provide predictions for the spin structurefunctions in the form of sum rules. Spin-dependent sum rules such as the Gerasimov-Drell-Hearn (GDH) sum rule are important tools available to study nucleon spin structure. Originally derived for real photon absorption, the Gerasimov-Drell-Hearn (GDH) sum rule was first extended for virtual photon absorption in 1989. The extension of the sum rule provides a unique relation, valid at any momentum transfer ($Q^{2}$), that can be used to study the nucleon spin structure and make comparisons between theoretical predictions and experimental data. Experiment E97-110 was performed at the Thomas Jefferson National Accelerator Facility (Jefferson Lab) to examine the spin structure of the neutron and $^{3}$He. The Jefferson Lab longitudinally-polarized electron beam with incident energies between 1.1 and 4.4 GeV was scattered from a longitudinally or transversely polarized $^{3}$He gas target in the Hall A end station. Asymmetries and polarized cross-section differences were measured in the quasielastic and resonance regions to extract the spin structurefunctions $g_{1}(x,Q^{2})$ and $g_{2}(x,Q^{2})$ at low momentum transfers (0.02 $perturbation theory and check the GDH sum rule by extrapolating the integral to the real photon point. This thesis will discuss preliminary results from the E97-110 data analysis.
In this thesis, results of neutrino-nucleon neutral current (NC) elastic scattering analysis are presented. Neutrinos interact with other particles only with weak force. Measurement of cross-section for neutrino-nucleon reactions at various neutrino energy are important for the study of nucleonstructure. It also provides data to be used for beam flux monitor in neutrino oscillation experiments. The cross-section for neutrino-nucleon NC elastic scattering contains the axial vector form factor G{sub A}(Q{sup 2}) as well as electromagnetic form factors unlike electromagnetic interaction. G{sub A} is propotional to strange part of nucleon spin ({Delta}s) in Q{sup 2} {yields} 0 limit. Measurement of NC elastic cross-section with smaller Q{sup 2} enables us to access {Delta}s. NC elastic cross-sections of neutrino-nucleon and antineutrino-nucleon were measured earlier by E734 experiment at Brookheaven National Laboratory (BNL) in 1987. In this experiment, cross-sections were measured in Q{sup 2} > 0.4 GeV{sup 2} region. Result from this experiment was the only published data for NC elastic scattering cross-section published before our experiment. SciBooNE is an experiment for the measurement of neutrino-nucleon scattering cross-secitons using Booster Neutrino Beam (BNB) at FNAL. BNB has energy peak at 0.7 GeV. In this energy region, NC elastic scattering, charged current elastic scattering, charged current pion production, and neutral current pion production are the major reaction branches. SciBar, electromagnetic calorimeter, and Muon Range Detector are the detectors for SciBooNE. The SciBar consists of finely segmented scintillators and 14336 channels of PMTs. It has a capability to reconstruct particle track longer than 8 cm and separate proton from muons and pions using energy deposit information. Signal of NC elastic scattering is a single proton track. In {nu}p {yields} {nu}p process, the recoil proton is detected. On the other hand, most of {nu}n {yields} {nu}n is invisible because there are only neutral particles in final state, but sometimes recoil neutron is scattered by proton and recoil proton is detected. Signal of this event is also single proton track. Event selection for the single proton track events using geometrical and dE/dx information of reconstructed track is performed. After the event selection, NC elastic scattering data sample is obtained. They includes {nu}p {yields} {nu}p and {nu}n {yields} {nu}n is obtained. Absolute cross-section as a function of Q{sup 2} is evaluated from this NC elastic scattering data sample.
In this thesis, results of neutrino-nucleon neutral current (NC) elastic scattering analysis are presented. Neutrinos interact with other particles only with weak force. Measurement of cross-section for neutrino-nucleon reactions at various neutrino energy are important for the study of nucleonstructure. It also provides data to be used for beam flux monitor in neutrino oscillation experiments. The cross-section for neutrino-nucleon NC elastic scattering contains the axial vector form factor G{sub A}(Q{sup 2}) as well as electromagnetic form factors unlike electromagnetic interaction. G{sub A} is propotional to strange part of nucleon spin ({Delta}s) in Q{sup 2} {yields} 0 limit. Measurement of NC elastic cross-section with smaller Q{sup 2} enables us to access {Delta}s. NC elastic cross-sections of neutrino-nucleon and antineutrino-nucleon were measured earlier by E734 experiment at Brookheaven National Laboratory (BNL) in 1987. In this experiment, cross-sections were measured in Q{sup 2} > 0.4 GeV{sup 2} region. Result from this experiment was the only published data for NC elastic scattering cross-section published before our experiment. SciBooNE is an experiment for the measurement of neutrino-nucleon scattering cross-secitons using Booster Neutrino Beam (BNB) at FNAL. BNB has energy peak at 0.7 GeV. In this energy region, NC elastic scattering, charged current elastic scattering, charged current pion production, and neutral current pion production are the major reaction branches. SciBar, electromagnetic calorimeter, and Muon Range Detector are the detectors for SciBooNE. The SciBar consists of finely segmented scintillators and 14336 channels of PMTs. It has a capability to reconstruct particle track longer than 8 cm and separate proton from muons and pions using energy deposit information. Signal of NC elastic scattering is a single proton track. In {nu}p {yields} {nu}p process, the recoil proton is detected. On the other hand, most of {nu}n {yields} {nu}n is invisible because there are only neutral particles in final state, but sometimes recoil neutron is scattered by proton and recoil proton is detected. Signal of this event is also single proton track. Event selection for the single proton track events using geometrical and dE/dx information of reconstructed track is performed. After the event selection, NC elastic scattering data sample is obtained. They includes {nu}p {yields} {nu}p and {nu}n {yields} {nu}n is obtained. Absolute cross-section as a function of Q{sup 2} is evaluated from this NC elastic scattering data sample.
Deep Inelastic Scattering (DIS) experiments have provided important information on the structure of hadrons and ultimately the structure of matter and on the nature of interactions between leptons and hadrons, since the discovery of partons. Various high energy deep inelastic interactions lead to different evolution equations from which we obtain various structurefunctions giving information about the partons i.e. quarks and gluons involved in different scattering processes. Actually structurefunction is a mathematical picture of the hadron structure in the high energy region. Understanding the behaviour of the structurefunctions of the nucleon at low-x, where x is the Bjorken variable, is interesting both theoretically and phenomenologically. Structurefunctions are important inputs in many high energy processes and also important for examination of perturbative quantum chromodynamics (PQCD), the underlying dynamics of quarks and gluons. In PQCD, for high-Q2, where Q2 is the four momentum transfer in a DI...
The effects of elementary excitations to the nature of dense solid nuclear matter are investigated using the Pandharipande-Smith (PS) potentials. A trial wave function embodying a simple cubic structure of nucleonic lattice leads to the Hamiltonian describing the dynamics of lattice vibrations (or phonons) spin-waves (or magnons) and isospin-waves (or 'isomagnons'). Magnons and isomagnons are treated as the Holstein-Primakoff bosons. In the density range from around 0.3 to 1 nucleons/fm{sup 3}, the dynamics of phonons approximately reproduces the equations of state for PS's potentials 2 and 3. At the lowest order of perturbations, due to the tensor interaction, magnon has an energy gap of the order of 100 MeV at infinite wavelength, while isomagnon is gapless. The energy is lowered by O(100 MeV/nucleon) in virtue of the zero-point fluctuation of spins. A simple variational method indicates that the ground state is likely to be realized by the simultaneous condensation of {pi}{sup +-}, {pi}{sup 0} and of isomagnons, which further lowers the energy by O(100 MeV/nucleon). (author).
Tau neutrino and antineutrino interactions with nucleons in large underground or under ice detectors will be important signals of astrophysical and atmospheric sources of neutrinos. We present here a theoretical update of the deep inelastic scattering contribution to the tau neutrino and antineutrino charged current cross sections with isoscalar nucleon targets and proton targets for incident neutrinos and antineutrinos in the energy range from 10 GeV to 10 TeV. Next-to-leading order quantum chromodynamic corrections, target mass corrections and heavy quark effects are included. Uncertainties in the cross section associated with the structurefunctions a low momentum transfers, the input parton distribution functions, scale dependence and flavor number scheme are discussed.
We calculate the Sivers distribution functions induced by the final-state interaction due to one-gluon exchange in diquark models of a nucleonstructure, treating the cases of scalar and axial-vector diquarks with both dipole and Gaussian form factors. We use these distribution functions to calculate the Sivers single-spin asymmetries for inclusive pion and kaon production in deep-inelastic scattering. We compare our calculations with the results of HERMES and COMPASS, finding good agreement for {pi}{sup +} production at HERMES, and qualitative agreement for {pi}{sup 0} and K{sup +} production. Our predictions for pion and kaon production at COMPASS could be probed with increased statistics. The successful comparison of our calculations with the HERMES data constitutes prima facie evidence that the quarks in the nucleon have some orbital angular momentum in the infinite-momentum frame.
We analyze the determination of volume effects for correlation functions that depend on an external momentum. As a specific example, we consider finite volume nucleon current correlators, and focus on the nucleon magnetic moment. Because the multipole decomposition relies on SO(3) rotational invariance, the structure of such finite volume corrections is unrelated to infinite volume multipole form factors. One can deduce volume corrections to the magnetic moment only when a zero-mode photon coupling vanishes, as occurs at next-to-leading order in heavy baryon chiral perturbation theory. To deduce such finite volume corrections, however, one must assume continuous momentum transfer. In practice, volume corrections with momentum transfer dependence are required to address the extraction of the magnetic moment, or other observables that arise in momentum dependent correlation functions. Additionally we shed some light on a puzzle concerning differences in lattice form factor data at equal values of momentum trans...
Applying a variational multiparticle-multihole configuration mixing method whose purpose is to include correlations beyond the mean field in a unified way without particle number and Pauli principle violations, we investigate pairing-like correlations in the ground states of $ ^{116}$Sn,$ ^{106}$Sn and $ ^{100}$Sn. The same effective nucleon-nucleon interaction namely, the D1S parameterization of the Gogny force is used to derive both the mean field and correlation components of nuclear wave functions. Calculations are performed using an axially symetric representation. The structure of correlated wave functions, their convergence with respect to the number of particle-hole excitations and the influence of correlations on single-particle level spectra and occupation probabilities are analyzed and compared with results obtained with the same two-body effective interaction from BCS, Hartree-Fock-Bogoliubov and particle number projected after variation BCS approaches. Calculations of nuclear radii and the first ...
COMPASS is a fixed target experiment at the CERN SPS with a broad physics programme. An important part of this programme consists in the study of the spin structure of the nucleons by measuring semi-inclusive deep inelastic scattering (SIDIS) of a high energy muon beam off polarised deuteron and proton targets. These measurements allow for a first complete investigation of transverse spin and intrinsic transverse momentum effects. From the data collected in the years 2002, 2003 and 2004 using a transversely polarised $^{6}$LiD (polarised deuteron) target, the COMPASS Collaboration has measured the Collins and the Sivers asymmetries [1, 2], which allow to access the transversity and the Sivers distribution functions, both particulary interesting in the present theoretical description of the nucleonstructure. Using the same data, the other six azimuthal single spin asymmetries expected in SIDIS off transversely polarised targets have been measured [2]. New preliminary results for azimuthal spin asymmetries fro...
Proton-neutron, neutron-neutron, and proton-proton momentum-correlation functions (Cpn,Cnn, and Cpp) are systematically investigated for 15C and other C-isotope-induced collisions at different entrance channel conditions within the framework of the isospin-dependent quantum-molecular-dynamics model complemented by the correlation after burner (crab) computation code. 15C is a prime exotic nucleus candidate due to the weakly bound valence neutron coupling with closed-neutron-shell nucleus 14C. To study density dependence of the correlation function by removing the isospin effect, the initialized 15C projectiles are sampled from two kinds of density distribution from the relativistic mean-field (RMF) model in which the valence neutron of 15C is populated in both 1d5/2 and 2s1/2 states, respectively. The results show that the density distributions of the valence neutron significantly influence the nucleon-nucleon momentum-correlation function at large impact parameters and high incident energies. The extended density distribution of the valence neutron largely weakens the strength of the correlation function. The size of the emission source is extracted by fitting the correlation function by using the Gaussian source method. The emission source size as well as the size of the final-state phase space are larger for projectile samplings from more extended density distributions of the valence neutron, which corresponds to the 2s1/2 state in the RMF model. Therefore, the nucleon-nucleon momentum-correlation function can be considered as a potentially valuable tool to diagnose exotic nuclear structures, such as the skin and halo.
The vector meson spectral functions are calculated to the first order in the nuclear matter density assuming the dominant contribution comes from the couplings of the vector mesons to nucleons and nucleon resonances. An attempt is made to reproduce the HADES dilepton production data with the in-medium spectral functions of the vector mesons using the Relativistic Quantum Molecular Dynamics (RQMD) transport model developed earlier for modelling heavy-ion collisions. The results are sensitive to the in-medium broadening of nucleon resonances. A generally good agreement with the HADES data is achieved for selfconsistent treatment of the nucleon resonance broadening and the vector meson spectral functions. (orig.)
Expressions for the nucleon wave functions in the covariant spectator theory are derived. The nucleon is described as a system with a off-mass-shell constituent quark, free to interact with an external probe, and two spectator constituent quarks on their mass shell. Integrating over the internal momentum of the on-mass-shell quark pair allows us to derive an effective nucleon wave function that can be written only in terms of the quark and diquark (quark-pair) variables. The derived nucleon wave function includes contributions from S-, P- and D-waves.
Expressions for the nucleon wave functions in the covariant spectator theory (CST) are derived. The nucleon is described as a system with a off-mass-shell constituent quark, free to interact with an external probe, and two spectator constituent quarks on their mass shell. Integrating over the internal momentum of the on-mass-shell quark pair allows us to derive an effective nucleon wave function that can be written only in terms of the quark and diquark (quark-pair) variables. The derived nucleon wave function includes contributions from S, P and D-waves.
Expressions for the nucleon wave functions in the covariant spectator theory (CST) are derived. The nucleon is described as a system with a off-mass-shell constituent quark, free to interact with an external probe, and two spectator constituent quarks on their mass shell. Integrating over the internal momentum of the on-mass-shell quark pair allows us to derive an effective nucleon wave function that can be written only in terms of the quark and diquark (quark-pair) variables. The derived nucleon wave function includes contributions from S, P and D-waves.
The structure of nuclei far from ?-stability lines is expected to show various interesting and exotic phenomena, due to the unique features: (a) the presence of nucleons with very small binding energies and largely extended wave-functions; (b) large difference between the Fermi levels of protons and neutrons; (c) exotic ratios of the proton to neutron numbers for a given mass number. Among the topics, which are the direct consequence of those characteristic features and are being studied experimentally using the radioactive nuclear ion beam facilities in the world, I choose to talk about the one-particle shell-structure, response function, and related collective modes.
We study the three nucleon force in the triton channel using dynamical clover fermion lattice QCD. The Nambu-Bethe-Salpeter wave function is utilized to obtain the potentials among three nucleons. Since the straightforward calculation is prohibitively expensive, two different frameworks are developed to meet the challenge. In the first method, we study the effective two nucleon potentials in the three nucleon system, where the differences between the effective two nucleon potentials and the genuine two nucleon potentials correspond to the three nucleon system effect, part of which is originated from the three nucleon force. The calculation is performed using Nf=2 clover fermion at m(\\pi)= 1.13GeV generated by CP-PACS Collaboration, and Nf=2+1 clover fermion at m(\\pi)= 0.70, 0.57GeV generated by PACS-CS Collaboration. In the second method, we study the three nucleon system with 3D-configuration of nucleons fixed. This enables us to extract the three nucleon force directly, if both of parity-even and parity-odd...
The COMPASS (COmmon Muon and Proton apparatus for Structure and Spectroscopy) experiment started more than 10 years ago and has published many results concerning nucleonstructure and hadron spectroscopy. We propose additional measurements for a new fascinating QCD-related studies of nucleonstructure and hadron spectroscopy with small modifications of the present apparatus, that includes either an unpolarized or polarized target.
This thesis is devoted to the study of the deep inelastic scattering. Its purpose is the development of phenomenological models describing experimental results on unpolarized (F{sub 2}) and polarized (g{sub 1}) nucleonstructurefunctions in the wide range of the kinematical domain. Special attention is paid to the small-x behaviour of F{sub 2} and to the link between deep inelastic scattering and photoproduction process. The investigation of the Pomeron in deep inelastic scattering shows that one single Pomeron compatible with the Froissard-Martin limit can account for all the present HERA data. A phenomenological model of the proton structurefunction is developed, based on a two-component structure including various features expected from both perturbative quantum chromodynamics and non perturbative Regge theory. A link with the photoproduction process is provided. A detailed analysis of the perturbative components, based on the Gribov-Lipatov-Altarelli-Parisi evolution equations is presented. Taking into account the different parton distribution, this approach allows to describe data on proton and neutron structurefunctions, on deep inelastic neutrino scattering, and to reproduce the gluons distribution extracted by the ZEUS collaboration. The model is applied to the polarized deep inelastic scattering and the axial anomaly effect appearing both in the description of results on the spin dependent structurefunctions g{sup p,n,d} and in the interpretation of the nucleon spin structure is discussed. (J.S.). 260 refs., 34 figs., 8 tabs., 6 appends.
The study of relativistic Hartree theory for finite nuclei by the Nuclear Theory Group at the University of Tsukuba is reviewed. It is argued that negative energy nucleons should be taken into account in nuclear physics. When negative energy nucleons are taken into account in the relativistic mean-field approximation, the Dirac sea contributes to suppress the single-particle potential and to increase the nuclear radius. The fundamental mechanism of these effects of the Dirac sea is analyzed in the positive energy nucleon state sector picture of a nucleus by showing that NN vacuum polarizations correct the meson exchange interactions between positive energy nucleons, suppressing the coupling constant and increasing the range of the ?-meson exchange interaction. The renormalized NN vacuum polarization functions depend on the nuclear medium nucleon density. Therefore the vacuum polarizations create repulsive effective three-body interactions in the nucleus. The values of the three-body interaction energy obtained from the NN vacuum polarizations are on the order of the three-body interaction energy extracted from the experimental nuclear energy data. As an extension of the nuclear mean-field theory, we formulate a collective tunneling transition from one nuclear mean-field state to another. We determine a Hamiltonian to describe this nuclear transition, in view of the quantum fluctuations of the meson fields needed to steer the transition. The structure of the meson mean fields in two nuclear mean-field states uniquely determines the Hamiltonian in terms of the meson fields needed to steer the nuclear transition from one mean-field state to another. The Hamiltonian, which recovers the symmetries of the nuclear system, yields nuclear eigenstates in terms of a linear combination of the two nuclear mean-field states with definite angular momentum.
The use of polarized {sup 3}He as a polarized neutron target in measurements of the spin structurefunction and electromagnetic form factors of the neutron has added new interest to studies of the structure of this nucleus. The A=3 system is also of fundamental interest in nuclear physics because the Faddeev equations allow essentially exact solutions for a given input nucleon-nucleon interaction. Theoretical calculations based on this formalism can make detailed predictions about the wave function of {sup 3}He. In particular, they can describe how the {sup 3}He spin is carried by the nucleons as a function of their Fermi momentum, knowledge of which is important to the use of polarized {sup 3}He as a polarized neutron target. If one considers the {sup 3}He(p,2N) reaction in the plain wave impulse approximation (PWIA), spin correlation measurements and the analyzing power measured by reversing the target spin are directly related to the corresponding free scattering spin observables and the polarization of the struck nucleon and, hence, should provide a sensitive test of the calculations. Measurements of {sup 3}He(p,2N) spin observables at 220 MeV{sup -1} and 290 MeV{sup 2} from TRIUMF have been very surprising, showing large disagreements with PWIA calculations and casting doubt on this approximation at the angles and energies tested. We have recently completed a measurement of this same reaction in the IUCF Cooler ring using an internal polarized {sup 3}He target. A demonstration of this new technique has been published. Proton beam energies of 200 MeV, 300 MeV and 415 MeV were run using large acceptance detectors to more fully search for kinematic regimes where the PWIA is useful. A description of the experiment and current results will be presented.
We employ the polarized chiral constituent quarks to extract the polarized structurefunction of the nucleon. The polarized valon model is used to calculate the spin dependence of parton distribution functions of meson. The connection between the polarized structure of the proton and the Goldstone bosons, using the chiral quark model (?QM) is analyzed and the spin dependence of the parton distribution functions for pion and kaon, is obtained thoroughly. These functions are evolved to high Q2 values, using the singlet, nonsinglet and quark-gluon moments (?MS, ?MNS, ?Mgq) which are convoluted with the polarized valon distributions. The polarized valon distributions for meson are computed, based on a phenomenological method and a comparison between polarized and unpolarized parton distribution functions for pion and kaon are performed. As a consequence of the ?QM, the SU(3)f symmetry breaking for the spin dependent of the nucleon sea distributions is achieved. The required polarized parton distributions of the proton will be obtained from the parton distribution functions of the polarized meson via the related convolution integral which are existed in the ?QM. Following that the analytical result for the proton's spin structurefunction, xgp1(x), is obtained and compared with experimental data. Finally, the parton orbital angular momentum of meson are introduced and the total spin of the meson, based on this quantity and the first moment of distributions for gluon and singlet sectors, are obtained.
Inclusive electron scattering from nuclei at low momentum transfer (corresponding to x>1) and moderate Q^2 is dominated by quasifree scattering from nucleons. In the impulse approximation, the cross section can be directly connected to the nucleon momentum distribution via the scaling function F(y). The breakdown of the y-scaling assumptions in certain kinematic regions have prevented extraction of nucleon momentum distributions from such a scaling analysis. With a slight modification to the y-scaling assumptions, it is found that scaling functions can be extracted which are consistent with the expectations for the nucleon momentum distributions.
Nuclear Drell-Yan cross sections are presented as convolutions of the nucleon Drell-Yan cross sections with the nucleon density distribution function. The detailed kinematics relating the projectile-nucleus with the projectile nucleon cross sections are obtained using the fact that Drell-Yan cross sections are expressed in the centre-of-mass system. The independent variables in the projectile-nucleon system are shown to be dependent on the integral variable of the convolution formalism, thus leading to the convolution of the differential cross sections instead of the convolution of the target quark distribution function. A detailed examination of the results shows a substantial nuclear effect on the cross sections. (author).
This program was established for the purpose of studying projectile fragmentation; (1) as a function of energy, focusing first on the intermediate energy region, < 1 GeV/nucleon, where there have been few previous measurements and no systematic studies, and (2) as a function of projectile mass, starting with light beams and proceeding to species as heavy as nickel (and possibly beyond). The intermediate energy region is important as the transition between the lower energy data, where the interaction appears to be dominated by collective effects and the decay of excited nuclei, and the highest energy results, where nucleon-nucleon interactions are fundamental, ``limiting fragmentation`` applies, and the nucleus may well break-up before any de-excitation. The mass dependence of projectile fragmentation is largely unknown since most detailed work has involved light ion beams. Nuclear structure effects, for example, may well be quite prominent for heavier beams. Furthermore, the nuclear excitation functions for the production of different fragment isotopes have immediate application to the astrophysical interpretation of existing isotopic datasets obtained from balloon and satellite measurements of galactic cosmic rays.
This program was established for the purpose of studying projectile fragmentation; (1) as a function of energy, focusing first on the intermediate energy region, < 1 GeV/nucleon, where there have been few previous measurements and no systematic studies, and (2) as a function of projectile mass, starting with light beams and proceeding to species as heavy as nickel (and possibly beyond). The intermediate energy region is important as the transition between the lower energy data, where the interaction appears to be dominated by collective effects and the decay of excited nuclei, and the highest energy results, where nucleon-nucleon interactions are fundamental, limiting fragmentation'' applies, and the nucleus may well break-up before any de-excitation. The mass dependence of projectile fragmentation is largely unknown since most detailed work has involved light ion beams. Nuclear structure effects, for example, may well be quite prominent for heavier beams. Furthermore, the nuclear excitation functions for the production of different fragment isotopes have immediate application to the astrophysical interpretation of existing isotopic datasets obtained from balloon and satellite measurements of galactic cosmic rays.
A detailed study of the He4 longitudinal response function RL(?,q) is performed at different kinematics, with particular emphasis on the role of three-nucleon forces. The effects reported are the results of an abinitio calculation where the full four-body continuum dynamics is considered via the Lorentz integral transform method. The contributions of the various multipoles to the longitudinal response function are analyzed, and integral properties of the response are discussed as well. The Argonne V18 nucleon-nucleon interaction and two three-nucleon force models (Urbana IX and Tucson-Melbourne') are used. At lower momentum transfers (q?200MeV/c) three-nucleon forces play an important role. One even finds a dependence of RL on the three-nucleon force model itself, with differences of up to 10%. Thus a Rosenbluth separation of the inclusive electron scattering cross section of He4 at low momentum transfers would be of great value for differentiating among force models.
We propose the construction of a Silicon Vertex Tracker (VTX) for the PHENIX experiment at RHIC. The VTX will substantially enhance the physics capabilities of the PHENIX central arm spectrometers. Our prime motivation is to provide precision measurements of heavy-quark production (charm and beauty) in A+A, p(d)+A, and polarized p+p collisions. These are key measurements for the future RHIC program, both for the heavy ion program as it moves from the discovery phase towards detailed investigation of the properties of the dense nuclear medium created in heavy ion collisions, and for the exploration of the nucleon spin-structurefunctions. In addition, the VTX will also considerably improve other measurements with PHENIX. The main physics topics addressed by the VTX are: (1) Hot and dense strongly interacting matter--(a) Potential enhancement of charm production, (b) Open beauty production, (c) Flavor dependence of jet quenching and QCD energy loss, (d) Accurate charm reference for quarkonium, (e) Thermal dilepton radiation, (f) High p{sub T} phenomena with light flavors above 10-15 GeV/c in p{sub T}, and (g) Upsilon spectroscopy in the e{sup +}e{sup -} decay channel. (2) Gluon spin structure of the nucleon--(a) {Delta}G/G with charm, (b) {Delta}G/G with beauty, and (c) x dependence of {Delta}G/G with {gamma}-jet correlations. (3) Nucleonstructure in nuclei--Gluon shadowing over broad x-range.
An approach for a unified description of the nucleon electromagnetic form factors in spacelike and timelike regions is presented. The main ingredients of our model are: $i)$ a Mandelstam formula for the matrix elements of the nucleon electromagnetic current; $ii)$ a 3-dimensional reduction of the problem on the Light-Front performed within the so-called {\\tt Propagator Pole Approximation} ({\\bf PPA}), which consists in disregarding the analytical structure of the Bethe-Salpeter amplitudes and of the quark-photon vertex function in the integration over the minus components of the quark momenta; $iii)$ a dressed photon vertex in the $q\\bar{q}$ channel, where the photon is described by its spin-1, hadronic component.
Asymmetric nuclear matter is investigated by the Dirac Brueckner Hartree-Fock (DBHF) approach with a new decomposition of the Dirac structure of nucleon self-energy from the G matrix. It is found that the isospin dependence of the scalar and vector potentials is relatively weak, although both potentials for neutron (proton) become deep (shallow) in the neutron-rich nuclear matter. The results in asymmetric nuclear matter are rather different from those obtained by a simple method, where the nucleon self-energy is deduced from the single-particle energy. The nuclear binding energy as a function of the asymmetry parameter fulfils the empirical parabolic law up to very extreme isospin asymmetric nuclear matter in the DBHF approach. The behaviour of the density dependence of the asymmetry energy is different from that obtained by non-relativistic approaches, although both give similar asymmetry energy at the nuclear saturation density
The relativistic quark model of nucleon and the quark-exchange formalism is used to calculate the spin structurefunctions (SSF) of 3He, 3H, neutrons and protons. We consider the quarks to be exchanged at most between two nucleons. The up and down quarks treated separately and a well behaved polarized distribution is found by considering energy-momentum conservation properly. The SSF of 3He and 3H and convolution approximation are used to find the SSF of protons and neutrons and the validity of the Bjorken sum rule was tested. Finally it is shown that the result of our calculation agrees qualitatively well with the available experimental data, i.e., E142, E143, SMC, and recent E154 experiments.
Recent calculations of the effects of hadronization and final state interaction (FSI) in semi-exclusive deep-inelastic scattering (DIS) $A(e,e'(A-1))X$ processes are reviewed. The basic ingredient underlying these calculations, {\\it viz} the time-dependent effective debris-nucleon cross section is illustrated, and some relevant results on complex nuclei and the deuteron are presented. In the latter case, particular attention is paid to the choice of the kinematics, for such a choice would in principle allow one to investigate both the structurefunction of a bound nucleon as well as the hadronization mechanisms. It is stressed that a planned experiment at Jlab on the process $D(e,e'p)X$ could be very useful in that respect.
We present work in a model used to describe semi-inclusive deep inelastic scattering off the deuteron. The model uses the virtual nucleon approximation to describe the interaction of the photon with the bound neutron and the generalized eikonal approximation is applied to calculate the final-state interaction diagram. Comparison with data taken at Jefferson Lab shows good agreement in the covered range of kinematics and points at a largely suppressed off-shell rescattering amplitude. The $W$ and $Q^2$ dependences of the total cross section and slope factor of the interaction of DIS products, $X$, off the spectator nucleon are extracted. Starting from the JLab data and our model calculations, we outline and apply an extrapolation method to obtain the neutron structurefunction $F_{2N}$ at high Bjorken $x$.
We study possible saturation effects in the total crosssections describing the interaction of ultra-high energy neutrinos with nucleons. This analysis is performed within two approaches, i.e., within the Golec-Biernat-Wuesthoff saturation model and within the scheme unifying the DGLAP and BFKL dynamics incorporating non-linear screening effects which follow from the Balitzki-Kovchegov equation. The structurefunctions in both approaches are constrained by HERA data. It is found that screening effects affect the extrapolation of the neutrino-nucleon total cross-sections to ultra-high neutrino energies E{sub {nu}} and reduce their magnitude by a factor equal to about 2 at E{sub {nu}}{proportional_to}10{sup 12} GeV. This reduction becomes amplified by nuclear shadowing in the case of the neutrino-nucleus cross-sections and an approximate estimate of this effect is performed. (orig.)
Second- and third-order results are presented for the structurefunctions of charged-current deepinelastic scattering in the framework of massless perturbative QCD. We write down the two-loop differences between the corresponding crossing-even and -odd coefficient functions, including those for the longitudinal structurefunction not covered in the literature so far. At three loops we compute the lowest five moments of these differences for all three structurefunctions and provide approximate expressions in Bjorken-x space. Also calculated is the related third-order coefficient-function correction to the Gottfried sum rule. We confirm the conjectured suppression of these quantities if the number of colours is large. Finally we derive the second- and third-order QCD contributions to the Paschos-Wolfenstein ratio used for the determination of the weak mixing angle from neutrino-nucleon deep-inelastic scattering. These contributions are found to be small. (orig.)
Second- and third-order results are presented for the structurefunctions of charged-current deep-inelastic scattering in the framework of massless perturbative QCD. We write down the two-loop differences between the corresponding crossing-even and -odd coefficient functions, including those for the longitudinal structurefunction not covered in the literature so far. At three loops we compute the lowest five moments of these differences for all three structurefunctions and provide approximate expressions in Bjorken-$x$ space. Also calculated is the related third-order coefficient-function correction to the Gottfried sum rule. We confirm the conjectured suppression of these quantities if the number of colours is large. Finally we derive the second- and third-order QCD contributions to the Paschos-Wolfenstein ratio used for the determination of the weak mixing angle from neutrino-nucleon deep-inelastic scattering. These contributions are found to be small.
The proton's elastic electromagnetic form factors are calculated using an Ansatz for the nucleon's Poincare' covariant Faddeev amplitude that only retains scalar diquark correlations. A spectator approximation is employed for the current. On the domain of q^2 accessible in modern precision experiments these form factors are a sensitive probe of nonperturbative strong interaction dynamics. The ratio of Pauli and Dirac form factors can provide realistic constraints on models of the nucleon and thereby assist in developing an understanding of nucleonstructure.
By determining the quark momentum fractions of the octet baryons from N_f=2+1 lattice simulations, we are able to predict the degree of charge symmetry violation in the parton distribution functions of the nucleon. This is of importance, not only as a probe of our understanding of the non-perturbative structure of the proton but also because such a violation constrains the accuracy of global fits to parton distribution functions and hence the accuracy with which, for example, cross sections at the LHC can be predicted. A violation of charge symmetry may also be critical in cases where symmetries are used to guide the search for physics beyond the Standard Model.
Modifications of structurefunctions in nuclei (EMC effect) suggest that the nuclear quark distribution function is not just the incoherent sum of the proton and neutron distributions, and made clear the importance of nuclear effects even in high energy measurements. Jefferson Lab experiment E03-103 made precise measurements of the EMC effect in few-body and heavy nuclei with emphasis on the large x region. Data from the light nuclei suggests that the nuclear dependence of the high x quark distribution may depend on the nucleon's local environment, rather than being a purely bulk effect.
We show how deeply virtual pseudoscalar meson production experiments single out the contribution of the four chiral odd quark-proton GPDs which are related to the so far elusive transversity distribution function, $h_1$. Furthermore, in the kinematical ranges of the proposed EIC, electroproduction of strange and charmed mesons will allow one to uniquely pin down the non-perturbative charmed component in the nucleonstructurefunction, and at the same time provide new insights in the connection of the quark/gluon degrees of freedom with the meson-baryon description. The use of dispersion relations as well as the naive extension of the parton model to the ERBL region are critically analyzed.
Elastic and inelastic scattering of protons and mesons by 6, 7, 8Li nuclei is analyzed on the basis of the Glauber diffraction theory. Several versions of the wave functions of the nuclei, obtained within the two- and three-particle potential cluster models, are used in our calculations. It is demonstrated that the use of these wave functions in the diffraction theory enables us to adequately describe the experimental differential cross sections for hadron scattering at energies of 0.6 and 1.0 GeV. Considerable attention is devoted to to nuclear structure and the mechanism of nucleon interaction in elastic scattering.
We consider the baryons as three constituent valence quark systems. Their dynamics is described by the covariant Spectator formalism [1,2] for a quark-diquark system, where the diquark is always on its mass-shell. The electromagnetic interaction is considered in the relativistic impulse interaction (RIA) where the photon couples with the quark through the current j M = j\\y^ + 72 l°2mV (m *s ^ e n u c l e o n mass). The two form factors j'l and 72 account for all QCD mechanisms (qq pairs, pion cloud and gluon sea effects). Only the 71 form factor includes pion cloud effects in its isovector part. The nucleon wave function consists of spin-0 (isospin-0) and spin-1 (isospin-l) components written in terms of the diquark polarization vectors and the nucleon Dirac spinor [1]. Furthermore, it verifies the Dirac equation and generates the correct structure for its non-relativistic limit. Current conservation is also satisfied. The Jlab polarization data of the electromagnetic nucleon elastic form factors are described [3,4] when one assumes an S-state for the quark-diquark system [1], which means that the data does not signal any angular dependence in the wave function. The results show that spherical charge and matter distributions are compatible with the data, even when we consider Spin Direction Dependent density definitions [5]. The explicit consideration of the pion cloud effects definitively improves the description of the nucleon form factors [1]. We also calculated the N-Delta transition form factors. Preliminary results considering the Delta wave function as a mixture of a S and a D state explain the magnetic dipole G*M and the electric quadrupole G*E data [6]. Improvements are underway in order to describe also the Coulomb quadrupole form factor G£
Recent data on polarized proton knockout reactions off He-4 nuclei suggest a small but nonzero modification of proton electromagnetic form factors in medium. Using model independent relations derived on the basis of quark-hadron duality, we relate the medium modification of the form factors to the modification at large x of the deep-inelastic structurefunction of a bound proton. This places strong constraints on models of the nuclear EMC effect which assume a large deformation of the intrinsic structure of the nucleon in medium.
The energy dependence of forward pion double charge exchange reactions on light nuclei is studied for both the Ground State transition and the Double-Isobaric-Analog-State transitions. A common characteristic of these double reactions is a resonance-like peak around 50 MeV pion lab energy. This peak arises naturally in a two-step process in the conventional pion-nucleon system with proper handling of nuclear structure and pion distortion. A comparison among the results of different nuclear structure models demonstrates the effects of configuration mixing. The angular distribution is used to fix the single particle wave function.
We have reported elsewhere in this conference on our continuing project to determine nonperturbative Wilson coefficients on the lattice, as a step towards a completely non-perturbative determination of the nucleonstructure. In this talk we discuss how these Wilson coefficients can be used to extract Nachtmann moments of structurefunctions, using the case of off-shell Landau-gauge quarks as a first simple example. This work is done using overlap fermions, because their improved chiral properties reduce the difficulties due to operator mixing. (orig.)
We study the twist-4 contribution to the unpolarized nucleonstructurefunctions, F_L and F_2, in an approach where the vacuum structure of QCD is described by a dilute medium of instantons ($\\bar\\rho / \\bar R \\ll 1$). The dominant power corrections come from the twist-4 quark-gluon operators and are of the order $1/(\\bar\\rho^2 Q^2)$. The contributions from four-quark operators are suppressed. The approach predicts large 1/Q^2-corrections to F_L, in agreement with the results of QCD fits to the data.
The single spin asymmetry, A{sub LT} ?, and the polarized structurefunction, ?{sub LT}?, for the p(e,e?K{sup +})? reaction in the resonance region have been measured and extracted using the CEBAF Large Acceptance Spectrometer (CLAS) at Jefferson Lab. Data were taken at an electron beam energy of 2.567 GeV. The large acceptance of CLAS allows for full azimuthal angle coverage over a large range of center-of-mass scattering angles. Results were obtained that span a range in Q{sup 2} from 0.5 to 1.3 GeV{sup 2} and W from threshold up to 2.1 GeV and were compared to existing theoretical calculations. The polarized structurefunction is sensitive to the interferences between various resonant amplitudes, as well as to resonant and non-resonant amplitudes. This measurement is essential for understanding the structure of nucleons and searching for previously undetected nucleon excited states (resonances) predicted by quark models. The W dependence of the ?{sub LT} ? in the kinematic regions dominated by s and u channel exchange (cos q{sup cm} k = ?0.50, ?0.167, 0.167) indicated possible resonance structures not predicted by theoretical calculations. The ?{sub LT} ? behavior around W = 1.875 GeV could be the signature of a resonance predicted by the quark models and possibly seen in photoproduction. In the very forward angles where the reaction is dominated by the t-channel, the average ?{sub LT} ? was zero. There was no indication of the interference between resonances or resonant and non-resonant amplitudes. This might be indicating the dominance of a single t-channel exchange. Study of the sensitivity of the fifth structurefunction data to the resonance around 1900 MeV showed that these data were highly sensitive to the various assumptions of the models for the quantum number of this resonance. This project was part of a larger CLAS program to measure cross sections and polarization observables for kaon electroproduction in the nucleon resonance region.
The history of nucleon spin-structure measurements goes back to the early days of inelastic electron scattering at SLAC, when Vernon Hughes came with a proposal to accelerate polarized electrons to high energy and to study inelastic scattering from a polarized proton target. The quark model of the proton was new at the time, and the spin-dependent structurefunctions were an excellent testing ground for that model. The proposal developed into an experiment which became SLAC experiment E80. Subsequent experiments followed those early studies, leading to E130 at SLAC, then EMC at CERN, and a host of later experiments. In 1988 the EMC Collaboration published the first data to reach low x. The asymmetries EMC observed fell below quark model expectations, and the experimentally measured proton sum rule indicated that the spin of the quarks contributed little to the proton spin. The subject of nucleon spin-dependent structurefunctions was stimulated by this surprising result from EMC. The continuation of the spin-structure studies at SLAC, which have been very active in recent years, was stimulated by the successful development of high-intensity beams of polarized electrons. Table 1 lists the past, present, and planned programs and experiments that grew out of the early work. The rest of the report is divided into the following topics: polarized electrons; polarimetry; the SLAC spectrometers; radiative corrections; the proton measurements; neutron targets; the deuterium and {sup 3}He data; the g{sub 2} structurefunction; and the 50 GeV upgrade of the SLC.
The electromagnetic form factors of the three-nucleon bound states were calculated in Complete Impulse Approximation in the framework of the Covariant Spectator Theory for the new high-precision two-nucleon interaction models WJC-1 and WJC-2. The calculations use an approximation for the three-nucleon vertex functions with two nucleons off mass shell. The form factors with WJC-2 are close to the ones obtained with the older model W16 and to nonrelativistic potential calculations with lowest-order relativistic corrections, while the form factors with the most precise two-nucleon model WJC-1 exhibit larger differences. These results can be understood when the effect of the different types of pion-nucleon coupling used in the various models is examined.
The electromagnetic form factors of the three-nucleon bound states were calculated in Complete Impulse Approximation in the framework of the Covariant Spectator Theory for the new high-precision two-nucleon interaction models WJC-1 and WJC-2. The calculations use an approximation for the three-nucleon vertex functions with two nucleons off mass shell. The form factors with WJC-2 are close to the ones obtained with the older model W16 and to nonrelativistic potential calculations with lowest-order relativistic corrections, while the form factors with the most precise two-nucleon model WJC-1 exhibit larger differences. These results can be understood when the effect of the different types of pion-nucleon coupling used in the various models is examined.
We consider corrections to hadronic correlation functions arising from lattice QCD measurements that are too early in time. Focusing on the nucleon, we derive chiral corrections to the reduction formula for the nucleon two-point function, and three-point function involving the axial-vector current. These corrections account for the pion-nucleon and pion-delta continuum. For pion masses in the chiral regime, we show typical lattice measurements of the nucleon mass overestimate by a few percent; while, for the axial charge, the effect of insufficient time leads to an overestimation at the ten-percent level. We argue that nucleon and delta three-point functions should be calculated using the variational method to eliminate multiparticle contamination.
We report on investigations of the applicability of non-relativistic constituent quark models to the low-energy nucleon-nucleon (NN) interaction. The major innovations of a resulting NN potential are the use of the $^3$P$_0$ decay model and quark model wave functions to derive nucleon-nucleon-meson form-factors, and the use of a colored spin-spin contact hyperfine interaction to model the repulsive core rather than the phenomenological treatment common in other NN potentials. We present the results of the model for experimental free NN scattering phase shifts, S-wave scattering lengths and effective ranges and deuteron properties. Plans for future study are discussed.
A new finite-range representation of the JLM effective nucleon-nucleon interaction is suggested based on the CDM3Y density dependent functional and M3Y-Paris interaction. The density dependence has been carefully adjusted at each energy so that the nucleon optical potential (OP) given by the new density dependent interaction in the Hartree-Fock calculation of nuclear matter closely matches the JLM nucleon OP given by the Brueckner-Hatree-Fock calculation. The new interaction has been used in the double-folding model to calculate the OP for the elastic $^{6}$Li,$^{6}$He,$^{12}$C + $^{12}$C scattering at different energies.
A calculation of the deuteron polarization observables $A^d_y$, $A_{yy}$, $A_{xx}$, $A_{xz}$ and the differential cross-section for elastic nucleon-deuteron scattering at incident deuteron energies 270 and 880 MeV in lab is presented. A comparison of the calculations with two different deuteron wave-functions derived from the Bonn-CD $NN$-potential model and the dressed bag quark model is carried out. A model-independent approach, based on an optical potential framework, is used in which a nucleon-nucleon $T$-matrix is assumed to be local and taken on the energy shell, but still depends on the internal nucleon momentum in a deuteron.
Intermediate-energy heavy-ion collisions can produce a spin polarization of the projectile-like species. Spin polarization has been observed for both nucleon removal and nucleon pickup processes. Qualitative agreement with measured spin polarization as a function of the momentum of the projectile-like fragment is found in a kinematical model that considers conservation of linear and angular momentum and assumes peripheral interactions between the fast projectile and target. Better quantitative agreement was reached by including more realistic angular distributions, de-orientation caused by gamma-ray emission, and by correcting for the out-of-plane acceptance. The newly introduced corrections were found to apply to both nucleon removal and nucleon pickup processes.
Fragment production has been studied as a function of the source mass and excitation energy in peripheral collisions of $^{35}$Cl+$^{197}$Au at 43 MeV/nucleon and $^{70}$Ge+$^{nat}$Ti at 35 MeV/nucleon. The results are compared to the Au+Au data at 600 MeV/nucleon obtained by the ALADIN collaboration. A mass scaling, by $A_{source} \\sim$ 35 to 190, strongly correlated to excitation energy per nucleon, is presented, suggesting a thermal fragment production mechanism. Comparisons to a standard sequential decay model and the lattice-gas model are made. Fragment emission from a hot, rotating source is unable to reproduce the experimental source size scaling.
The influence of the nucleon-nucleon final state interaction (FSI) on properties of the meson production amplitude near threshold is discussed. For the nucleon-nucleon interaction a simple Yamaguchi potential as well as realistic potential models are considered. It is shown that FSI effects cannot be factorized from the production amplitude. The absolute magnitude of FSI effects depends on the momentum transfer (or on the mass of the produced meson) and hence is not universal. Only in the case of the production of rather heavy mesons like eta' or phi FSI effects become universal. The Jost function approach to FSI effects is critically examined.
I consider kinetic equilibrium of the $\\beta$-processes in the nucleonic plasma with relativistic pairs. The nucleons $(n,p)$ are supposed to be non-relativistic and non-degenerate, while the electrons and positrons are ultra-relativistic due to high temperature $(T>6\\cdot 10^9$K), or high density $(\\rho>\\mu 10^6$g/cm$^3$), or both, where $\\mu$ is a number of nucleons per one electron. The consideration is simplified because of the analytic connection of the density with the electron chemical potential in the ultra-relativistic plasma. Electron chemical potential and number of nucleons per one initial electron are calculated as functions of $\\rho$ and $T$.
Correlated basis function perturbation theory and the formalism of cluster expansions have been recently employed to obtain an effective interaction from a state-of-the-art nucleonnucleon potential model. The approach based on the effective interaction allows for a consistent description of the nuclear matter ground state and nucleon-nucleon scattering in the nuclear medium. This paper reports the the results of numerical calculations of different properties of nuclear and neutron matter, including the equation of state and the shear viscosity and thermal conductivity transport coefficients, carried out using the effective interaction.
We discuss the motivation, theory, and formulation of the ab initio No-Core Shell Model (NCSM). In this method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) and theoretical three-nucleon (NNN) potentials, as a function of the finite harmonic-oscillator (HO) basis space. We present converged results for the A = 3 and 4 nucleon systems, which are in agreement with results obtained by other exact methods, followed by results for p-shell nuclei. Binding energies, rms radii, excitation spectra, and electromagnetic properties are discussed.The favorable comparison with available data is a consequence of the underlying NN and NNN interactions rather than a phenomenological fit.
Some of the recent results concerning nucleus-nucleus elastic and inelastic scattering and the associated theoretical analysis are discussed. >From heavy ion elastic scattering data, a new complex nucleon-nucleon effective interaction has been obtained, which may be useful for relating scattering measurements to the nuclear structure of the colliding partners. A brief overview of the main lines of the analysis of nucleon-nucleus elastic scattering is given, and it is shown that the JLM formalism, which has been extensively applied in the case of stable nuclei, may be useful in analysing nucleon-nucleus elastic scattering involving unstable nuclei. (K.A.). 49 refs.
We calculate polarized structurefunctions for 3He and 3H, using the convolution of the light cone momentum distribution with the polarized structure of the proton and neutron. The polarized structurefunction of the nucleon is computed using the constituent quark model. Hypergeometric orthogonal polynomials are employed to extract the unknown parameters in this phenomenological approach. These hypergeometric polynomials are placed at the third level of Askey scheme with two free parameters. The results obtained for the polarized nuclear structurefunctions and the ratio of the Bjorken sum rule for proton-neutron system to 3He-3H system are in good agreement with the available experimental data and some theoretical models. To improve the validity of the model at low x-values, the nuclear shadowing, antishadowing and ?-resonance effects are also considered.
We calculate polarized structurefunctions for {sup 3}He and {sup 3}H, using the convolution of the light cone momentum distribution with the polarized structure of the proton and neutron. The polarized structurefunction of the nucleon is computed using the constituent quark model. Hypergeometric orthogonal polynomials are employed to extract the unknown parameters in this phenomenological approach. These hypergeometric polynomials are placed at the third level of Askey scheme with two free parameters. The results obtained for the polarized nuclear structurefunctions and the ratio of the Bjorken sum rule for proton-neutron system to {sup 3}He-{sup 3}H system are in good agreement with the available experimental data and some theoretical models. To improve the validity of the model at low x-values, the nuclear shadowing, antishadowing and DELTA-resonance effects are also considered.
A fully microscopic calculation of inelastic proton scattering off {sup 208}Pb is presented, and compared to experimental scattering data for incident proton energies between 65 and 201 MeV. By constructing the nucleon-nucleus interaction through the folding of nuclear structure information with a reliable nucleon-nucleon effective interaction that has no adjusted parameter, a consistent framework is built, for probing the influence of different descriptions of nuclear structure on nucleon inelastic scattering predictions. The absence of phenomenological normalization in this framework guarantees a unique and unambiguous interpretation of our calculations in terms of quality of the underlying nuclear structure description: a feature that had been reserved, until recently, to the electron probe. This tool is used to investigate the effect of long range correlations embedded in excited states, on calculated inelastic observables, demonstrating the sensitivity of nucleon scattering predictions to details of the nuclear structure.
This thesis describes the E142 experiment which has been carried out at the Stanford Linear Accelerator (SLAC), USA, from October to December 1992. This experiment of polarized inelastic scattering of a 22.6 GeV electron beam on a polarized helium 3 target has allowed the first measurement of the neutron g{sup n}{sub 1}(x) spin structurefunction. The knowledge of this structurefunction gives informations on the nucleon spin structure. On the other hand, the g{sup n}{sub 1}(x) structurefunction integral value on the 0nucleon spin fraction carried by the quarks. (J.S.). 86 refs., 58 figs., 13 tabs.
The first measurement of direct photons in Au+Au collisions at sqrt(s_NN) = 200 GeV is presented. The direct photon signal is extracted as a function of the Au+Au collision centrality and compared to NLO pQCD calculations. The direct photon yield is shown to scale with the number of nucleon-nucleon collisions for all centralities.
The Dirac equation in (1+1) dimensions with a non-local PT-symmetric potential of separable type is studied by means of the Green's function method: properties of bound and scattering states are derived in full detail and numerical results are shown for a potential kernel of Yamaguchi type, inspired by the treatment of low-energy nucleon-nucleon interaction.
The Dirac equation in (1+1) dimensions with a non-local PT-symmetric potential of separable type is studied by means of the Green function method: properties of bound and scattering states are derived in full detail and numerical results are shown for a potential kernel of Yamaguchi type, inspired by the treatment of low-energy nucleon-nucleon interaction.
The Dirac equation in (1+1) dimensions with a non-local \\mathcal{PT} -symmetric potential of separable type is studied by means of the Green's function method: properties of bound and scattering states are derived in full detail and numerical results are shown for a potential kernel of Yamaguchi type, inspired by the treatment of low-energy nucleon-nucleon interaction.
The mean number of primary hadron-nucleon scatterings () and mean impact parameter () are extracted from the distribution of fast protons in 14.6 GeV p-Au and 8.0 GeV pi-Au and pbar-Au collisions. The mean excitation energy per residue nucleon (E*/A) and fast and thermal light particle multiplicities are studied as a function of collision geometry.
We calculate the real part of the nucleus-nucleus potential by using a method based on the energy functional of the Skyrme nucleon-nucleon interaction and give a detailed account of the dependence of the results on the choice of the neutron and proton densities.
Since the 1980's, the study of nucleon (proton or neutron) spin structure has been an active field both experimentally and theoretically. One of the primary goals of this work is to test our understanding of Quantum Chromodynamics (QCD), the fundamental theory of the strong interaction. In the high energy region of asymptotically free quarks, QCD has been verified. However, verifiable predictions in the low energy region are harder to obtain due to the complex interactions between the nucleon's constituents: quarks and gluons. In the non-pertubative regime, low-energy effective field theories such as chiral perturbation theory provide predictions for the spin structurefunctions in the form of sum rules. Spin-dependent sum rules such as the Gerasimov-Drell-Hearn (GDH) sum rule are important tools available to study nucleon spin structure. Originally derived for real photon absorption, the Gerasimov-Drell-Hearn (GDH) sum rule was first extended for virtual photon absorption in 1989. The extension of the sum rule provides a unique relation, valid at any momentum transfer ($Q^{2}$), that can be used to study the nucleon spin structure and make comparisons between theoretical predictions and experimental data. Experiment E97-110 was performed at the Thomas Jefferson National Accelerator Facility (Jefferson Lab) to examine the spin structure of the neutron and $^{3}$He. The Jefferson Lab longitudinally-polarized electron beam with incident energies between 1.1 and 4.4 GeV was scattered from a longitudinally or transversely polarized $^{3}$He gas target in the Hall A end station. Asymmetries and polarized cross-section differences were measured in the quasielastic and resonance regions to extract the spin structurefunctions $g_{1}(x,Q^{2})$ and $g_{2}(x,Q^{2})$ at low momentum transfers (0.02 $< Q^{2} <$ 0.3 GeV$^{2}$). The goal of the experiment was to perform a precise measurement of the $Q^{2}$ dependence of the extended GDH integral and of the moments of the neutron and $^{3}$He spin structurefunctions at low $Q^{2}$. This $Q^{2}$ range allows us to test predictions of chiral perturbation theory and check the GDH sum rule by extrapolating the integral to the real photon point. This thesis will discuss preliminary results from the E97-110 data analysis.
Random interactions are used to investigate to what extent the low-lying behavior of even-even nuclei depend on particular nucleon-nucleon interactions. The surprising results that were obtained for the interacting boson model, i.e. the dominance of ground states with L=0 and the occurrence of both vibrational and rotational structure, are interpreted and explained in terms of a mean-field analysis.
Nucleus-hydrogen scattering can be predicted using optical potentials formed by full folding effective two-nucleon interactions with detailed nuclear structure. Results when compared with measured cross sections (integral and angular) for energies in the range 25A to 250A MeV are excellent and such data analyses reveal attributes of the separate nucleon matter distributions of the nucleus involved.
This lecture is composed of three parts. [1] Heavy quark and gluon contents of light hadrons, [II] anomalous gluon content of the nucleon, and [III] hot and dense QCD. Non-valence structures of nucleon due to the OZI violation are extensively discussed in [I] and [II], and non-perturbative aspects of the quark-gluon plasma are reviewed in [III]. 41 refs.
This lecture is composed of three parts. (1) Heavy quark and gluon contents of light hadrons, (II) anomalous gluon content of the nucleon, and (III) hot and dense QCD. Non-valence structures of nucleon due to the OZI violation are extensively discussed in (I) and (II), and non-perturbative aspects of the quark-gluon plasma are reviewed in (III). 41 refs.
We present Green's function Monte Carlo calculations of spectroscopic overlaps for $A \\leq 7$ nuclei. The realistic Argonne v18 two-nucleon and Illinois-7 three-nucleon interactions are used to generate the nuclear states. The overlap matrix elements are extrapolated from mixed estimates between variational Monte Carlo and Green's function Monte Carlo wave functions. The overlap functions are used to obtain spectroscopic factors and asymptotic normalization coefficients, and they can serve as an input for low-energy reaction calculations.
The generalized parton distributions (GPDs) provide a new description of the complex internal structure of the nucleon in terms of its elementary constituents, the quarks and the gluons. The GPDs describe the correlation between the transverse position and the longitudinal momentum fraction of the partons in the nucleon, extending the information obtained from the measurements of the form factors and the parton distribution functions. Deeply virtual Compton scattering (DVCS), the electroproduction of a real photon from a single quark in the nucleon, $eN \\to eN\\gamma$, is the most straightforward exclusive process that allows access to the GPDs. A dedicated experiment to study DVCS with the CLAS detector at Jefferson Lab (JLab) has been carried out using a 5.776 GeV polarized electron beam and an unpolarized hydrogen target, allowing us to collect DVCS events in the widest kinematic range ever explored in the valence region: $1
The discovery of the EMC effect and the proton spin crisis by the European Muon Collaboration are two of the standout experiments of the last 25 years. It is therefore surprising that there has been no experimental and little theoretical investigation of the spin structurefunctions of atomic nuclei. To address this we present results for the spin-dependent structurefunctions of nuclei. The quark degrees of freedom in nuclei are accessed via the convolution formalism. Where the nucleon bound state is obtained by solving the relativistic Faddeev equation, and a relativistic shell model is used to model the atomic nucleus. We find the important result that the medium modifications to the polarized structurefunctions are about twice that of the unpolarized case.
Nucleonstructurefunctions measured in neutrino-iron and antineutrino-iron charged-current interactions are presented. The data were taken in two high-energy high-statistics runs by the LAB-E detector at the Fermilab Tevatron. Structurefunctions are extracted from a sample of 950,000 neutrino and 170,000 antineutrino events with neutrino energies from 30 to 360 GeV. The structurefunctions F{sub 2} and xF{sub 3} are compared with the predictions of perturbative Quantum Chromodynamics (PQCD). The combined non-singlet and singlet evolution in the context of PQCD gives value of {Lambda}NLO,(4)/MS = 337 {+-} 28 (exp.) MeV, which corresponds to {alpha}{sub S}(M{sub Z}{sup 2}) = 0.119 {+-} 0.002 (exp.) {+-} 0.004 (theory), and with a gluon distribution given by xG(x,Q{sub 0}{sup 2} = 5GeV{sup 2}) = (2.22 {+-} 0.34) {times} (1 {minus} x){sup 4.65{+-}0.68}.
We compute the coefficient function for the charge-averaged W^(+/-)-exchange structurefunction F_3 in deep-inelastic scattering (DIS) to the third order in massless perturbative QCD. Our new three-loop contribution to this quantity forms, at not too small values of the Bjorken variable x, the dominant part of the next-to-next-to-next-to-leading order corrections. It thus facilitates improved determinations of the strong coupling alpha_s and of 1/Q^2 power corrections from scaling violations measured in neutrino-nucleon DIS. The expansion of F_3 in powers of alpha_s is stable at all values of x relevant to measurements at high scales Q^2. At small x the third-order coefficient function is dominated by diagrams with the colour structure d_abc d^abc not present at lower orders. At large x the coefficient function for F_3 is identical to that of F_1 up to terms vanishing for x to 1.
This experiment ran in Hall C at Jefferson Lab to measure L/T separated structurefunctions from deuterium from the quasielastic region through the nucleon resonance region and beyond(up to W^2=4.5 GeV^2), spanning the four-momentum transfer range 1Rosenbluth separation technique is used to extract separated structurefunctions F1, F2, FL and R. The measurement of these fundamental quantities allows a variety of physics issues to be addressed including: an evaluation of QCD moments of the deuterium and neutron structurefunctions (experimentally determining both the proton and neutron moments provide a direct confrontation with recent and future calculations from lattice QCD of the nucleon non-singlet moments), and quark-hadron duality in protons and neutrons. This experiment was completed in july 2007 at Jefferson Lab using the equipment: the High Momentum Spectrometer (HMS) to detect electrons and 4 cm cryogenic deuterium target. The current status of the data analysis and preliminary results such as nearly finalized cross sections, L/T separation results on deuterium, preliminary moments and duality studies will be presented. )
The cross section for elastic electron-deuteron scattering has been measured using the Hall A Facility of Jefferson Laboratory. Scattered electrons and recoiling deuterons were detected in coincidence in the two 4 GeV/c High Resolution Spectrometers (HRS) of Hall A. The deuteron elastic structurefunctions A(Q{sup 2}) and B(Q{sup 2}) have been extracted from these data. Results for the measurement of A(Q{sup 2}) in the range of 0.7 ? Q{sup 2} ? 6.0 (GeV/c){sup 2} are reported. Results for the magnetic structurefunction, B(Q{sup 2}), are presented in the range of 0.7 ? Q{sup 2} ? 1.35 (GeV/c){sup 2}. The results for both structurefunctions are compared to predictions of meson-nucleon based models, both with and without the inclusion of meson-exchange currents. The A(Q{sup 2}) results are compared to predictions of the dimensional scaling quark model and perturbative quantum chromodynamics. The results can provide insights into the transition from meson-nucleon to quark-gluon descriptions of the nuclear two-body system.
One of the central problems in nuclear physics is the description of nuclei as systems of nucleons interacting via realistic potentials. There are two main aspects of this problem: (1) specification of the Hamiltonian, and (2) calculation of the ground (or excited) states of nuclei with the given interaction. Realistic interactions must contain both two- and three-nucleon potentials and these potentials have a complicated non-central operator structure consisting, for example, of spin, isospin and tensor dependencies. This structure results in formidable many-body problems in the computation of the ground states of nuclei. At Argonne and Urbana, the authors have been following a program of developing realistic NN and NNN interactions and the methods necessary to compute nuclear properties from variational wave functions suitable for these interactions. The wave functions are used to compute energies, density distributions, charge form factors, structurefunctions, momentum distributions, etc. Most recently they have set up a collaboration with S. Boffi and M. Raduci (University of Pavia) to compute (e,e[prime]p) reactions.
One of the central problems in nuclear physics is the description of nuclei as systems of nucleons interacting via realistic potentials. There are two main aspects of this problem: (1) specification of the Hamiltonian, and (2) calculation of the ground (or excited) states of nuclei with the given interaction. Realistic interactions must contain both two- and three-nucleon potentials and these potentials have a complicated non-central operator structure consisting, for example, of spin, isospin and tensor dependencies. This structure results in formidable many-body problems in the computation of the ground states of nuclei. At Argonne and Urbana, the authors have been following a program of developing realistic NN and NNN interactions and the methods necessary to compute nuclear properties from variational wave functions suitable for these interactions. The wave functions are used to compute energies, density distributions, charge form factors, structurefunctions, momentum distributions, etc. Most recently they have set up a collaboration with S. Boffi and M. Raduci (University of Pavia) to compute (e,e{prime}p) reactions.
Using an isospin-dependent transport model, we study isospin effects on two-nucleon correlation functions in heavy-ion collisions induced by neutron-rich nuclei at intermediate energies. We find that these correlation functions are sensitive to the density dependence of nuclear symmetry energy, but not to the incompressibility of symmetric nuclear matter and the medium dependence of nucleon-nucleon cross sections. This sensitivity is mainly due to effects of nuclear symmetry energy on the emission times of neutrons and protons as well as their relative emission sequence. We also study the variations of the symmetry energy effects on nucleon-nucleon correlations with respect to the impact parameter, incident energy, and mass number of heavy ion collisions.
Exclusive meson leptoproduction from nucleons in the deeply virtual exchanged boson limit can be described by generalized parton distributions (GPDs). Including spin dependence in the description requires 8 independent quark-parton and gluon-parton functions. The chiral even subset of 4 quark-nucleon GPDs are related to nucleon form factors and to parton distribution functions. The chiral odd set of 4 quark-nucleon GPDs are related to transversity, the tensor charge, and other quantities related to transversity. Different meson or photon production processes access different combinations of GPDs. This is analyzed in terms of $t$-channel exchange quantum numbers, $J^{PC}$ and it is shown that pseudoscalar production can isolate chiral odd GPDs. There is a sensitive dependence in various cross sections and asymmetries on the tensor charge of the nucleon and other transversity parameters. In a second section, analyticity and completeness are shown to limit the partonic interpretation of the GPDs in the ERBL regi...
Exclusive meson leptoproduction from nucleons in the deeply virtual exchanged boson limit can be described by generalized parton distributions (GPDs). Including spin dependence in the description requires 8 independent quark-parton and gluon-parton functions. The chiral even subset of 4 quark-nucleon GPDs are related to nucleon form factors and to parton distribution functions. The chiral odd set of 4 quark-nucleon GPDs are related to transversity, the tensor charge, and other quantities related to transversity. Different meson or photon production processes access different combinations of GPDs. This is analyzed in terms of t-channel exchange quantum numbers, JPC and it is shown that pseudoscalar production can isolate chiral odd GPDs. There is a sensitive dependence in various cross sections and asymmetries on the tensor charge of the nucleon and other transversity parameters. In a second section, analyticity and completeness are shown to limit the partonic interpret ation of the GPDs in the ERBL region.
Exclusive meson leptoproduction from nucleons in the deeply virtual exchanged boson limit can be described by generalized parton distributions (GPDs). Including spin dependence in the description requires 8 independent quark-parton and gluon-parton functions. The chiral even subset of 4 quark-nucleon GPDs are related to nucleon form factors and to parton distribution functions. The chiral odd set of 4 quark-nucleon GPDs are related to transversity, the tensor charge, and other quantities related to transversity. Different meson or photon production processes access different combinations of GPDs. This is analyzed in terms of t-channel exchange quantum numbers, $J^{PC}$ and it is shown that pseudoscalar production can isolate chiral odd GPDs. There is a sensitive dependence in various cross sections and asymmetries on the tensor charge of the nucleon and other transversity parameters. We also consider, briefly, the analyticity of the GPDs and the problems with the partonic interpretation in the ERBL region.
We calculate the charge form factor and the longitudinal structurefunction for {sup 16}O and compare with the available experimental data, up to a momentum transfer of 4 fm{sup -1} . The ground-state correlations are generated using the coupled-cluster [exp(S) ] method, together with the realistic v18 NN interaction and the Urbana IX three-nucleon interaction. Center-of-mass corrections are dealt with by adding a center-of-mass Hamiltonian to the usual internal Hamiltonian, and by means of a many-body expansion for the computation of the observables measured in the center-of-mass system. (c) 2000 The American Physical Society.
We calculate the charge form factor and the longitudinal structurefunction for $^{16}$O and compare with the available experimental data, up to a momentum transfer of 4 fm$^{-1}$. The ground state correlations are generated using the coupled cluster [exp(S}] method, together with the realistic v-18 NN interaction and the Urbana IX three-nucleon interaction. Center-of-mass corrections are dealt with by adding a center-of-mass Hamiltonian to the usual internal Hamiltonian, and by means of a many-body expansion for the computation of the observables measured in the center-of-mass system.
We consider the effect of the transitions $n \\to \\Delta^{0}$ and $p \\to \\Delta^{+}$ in deep inelastic scattering on polarized $^3$He on the extraction of the neutron spin structurefunction $g_{1}^{n}(x,Q^2)$. Making the natural assumption that these transitions are the dominant non-nucleonic contributions to the renormalization of the axial vector coupling constant in the A=3 system, we find that the effect of $\\Delta$ increases $g_{1}^{n}(x,Q^2)$ by $10 \\div 40$% in the range $0.05 \\le x \\le 0.6$, where our considerations are applicable and most of the data for $g_{1}^{n}(x,Q^2)$ exist.
The magnitude of the EMC effect measured in electron deep inelastic scattering (DIS) is linearly related to the Short Range Correlation (SRC) scaling factor obtained from electron inclusive scattering. We speculate that the observed correlation is due to the fact that both the EMC effect and SRC are dominated by high momentum nucleons in the nucleus. The observed phenomenological relationship can be used to extract the ratio of the deuteron to the free pn-pair cross sections, the DIS cross section for a free neutron, View the MathML source, the ratio of the free neutron to free proton structurefunctions, and the u/d ratio in a free proton.
We present a new derivation of the convolution formula for the contributions of nuclear binding to the structurefunctions measured in the deep inelastic scattering of leptons from nuclei. The derivation, which is manifestly covariant, gives a new binding correction. This new correction, which depends on the mass of the recoiling nucleon fragments, gives corrections that are numerically significant, and that improve the agreement between theory and experiment at large x. We conclude that nuclear binding effects may be sufficient to explain the European-Muon-Collaboration effect at large x.
High energy lepton scattering has been the primary tool for mapping out the quark distributions of nucleons and nuclei. Data on the proton and deuteron have shown that there is a fundamental connection between the low and high energy regimes, referred to as quark-hadron duality. We present the results of similar studies to more carefully examine scaling, duality, and in particular the EMC effect in nuclei. We extract nuclear modifications to the structurefunction in the resonance region, and for the first time demonstrate that nuclear effects in the resonance region are identical to those measured in deep inelastic scattering.
Values of R = sigma/sub L//sigma/sub T/ for deep-inelastic electron-nucleon scattering have been derived from several experiments with incident electron energies up to 20 GeV. Included are previously unpublished measurements at intermediate angles (largely at 15/sup 0/ and 18/sup 0/). An average value of R = 0.22 +- 0.1 is obtained for the kinematic region covered by the experiments. No significant kinematic dependence of R is observed. A table of extracted values of the structurefunctions ..nu..W/sub 2/ and 2MW/sub 1/ is also presented.
Significant progress has been made recently in the application of Monte Carlo methods to the study of light nuclei. We review new Green's function Monte Carlo results for the alpha particle, Variational Monte Carlo studies of {sup 16}O, and methods for low-energy scattering and transitions. Through these calculations, a coherent picture of the structure and electromagnetic properties of light nuclei has arisen. In particular, we examine the effect of the three-nucleon interaction and the importance of exchange currents in a variety of experimentally measured properties, including form factors and capture cross sections. 29 refs., 7 figs.
Very significant advances have been made in the relativistic theory of few body systems since I visited Peter Sauer and his group in Hannover in 1983. This talk provides an opportunity to review the progress in this field since then. Different methods for the relativistic calculation of few nucleon systems are briefly described. As an example, seven relativistic calculations of the deuteron elastic structurefunctions, A, B, and T{sub 20}, are compared. The covariant SPECTATOR {copyright} theory, among the more successful and complete of these methods, is described in more detail.
Very significant advances have been made in the relativistic theory of few body systems since I visited Peter Sauer and his group in Hannover in 1983. This talk provides an opportunity to review the progress in this field since then. Different methods for the realtivistic calculation of few nucleon systems are briefly described. As an example, seven relativistic calculations of the deuteron elastic structurefunctions, $A$, $B$, and $T_{20}$, are compared. The covariant spectator theory, among the more successful and complete of these methods, is described in more detail.
A measurement of the nucleon spin asymmetries from deep inelastic scattering of polarized electrons by polarized [sup 3]He has been performed. The neutron spin structurefunction g[sub 1][sup n] is extracted and used to test the Bjorken sum rule. The neutron integral assuming a simple Regge theory extrapolation at low x is [integral][sub 0][sup 1]g[sub 1][sup n](x)dx = [minus]0.022 [plus minus] 0.011. Combined with the EMC proton results, the Bjorken sum rule predicts a neutron integral of [integral][sub 0][sup 1]g[sub 1][sup n](x)dx = [minus]0.065 [plus minus] 0.018.
Standard parton distribution functions contain neither information on the correlations between partons nor on their transverse motion, then a vital knowledge about the three dimensional structure of the nucleon is lost. Hard exclusive processes, in particular DVCS, are essential reactions to go beyond this standard picture. In the following, we examine the most recent data from HERA (at low $x_{Bj}<10^{-2}$) and their impact on GPD models. The most recent measurements of the Beam Charge Asymmetry by the H1 experiment is discussed. Perspectives are presented for further measurements of DVCS cross sections at CERN, within the COMPASS experiment.
The results of quarks helicity distributions are presented which were determined by COMPASS experiment at CERN. Different approaches have been accomplished in order to access various sets of quarks distributions. The analysis of spin structurefunction $g_{1}$ gives information about contribution to the spin of the nucleon from sum of quarks. From method of difference asymmetry for hadrons with opposite charges one can learn about polarized valence quark distributions. Finally, a recent analysis of full avour separation was presented in Quark Parton Model (QPM) and LO QCD approximation. All analyses have been done in perturbative regime Q$^{2} >$ 1 (GeV/c)$^{2}$.
Based on 60000(25000) nu ( nu ) events obtained recently in the CERN 200 GeV narrow band neutrino beam, the authors present new results on the nucleonstructurefunctions F/sub 2/(x, Q/sup 2/) and xF/sub 3/(x, Q/sup 2/) and on the Callan Gross relation. The observed scaling violations of F/sub 2/ and xF/sub 3/ are interpreted in terms of QCD. The strong coupling constant alpha /sub s/ is measured in agreement with the QCD predicted behaviour. (8 refs).
We give a brief overview of the status of perturbative QCD calculations for deep-inelastic scattering. The radiative corrections to the Wilson coefficients are generally available to next-to-next-to-leading order in QCD and we address the accuracy of the strong coupling constant, the parton distributions of the nucleon and the heavy quark masses which is required for precision predictions. We also discuss related processes at hadron colliders such as Higgs production via weak boson fusion which can be described through structurefunctions of deep-inelastic scattering, building upon an approximate, although very accurate, factorization of the perturbative QCD corrections.
In this work we studied the properties of antikaons and hyperons in infinite cold nuclear matter. The in-medium antikaon-nucleon scattering amplitude and self-energy has been calculated within a covariant many-body framework in the first part. Nuclear saturation effects have been taken into account in terms of scalar and vector nucleon mean-fields. In the second part of the work we introduced a non-local method for the description of kaonic atoms. The many-body approach of anti KN scattering can be tested by the application to kaonic atoms. A self-consistent and covariant many-body approach has been used for the determination of the antikaon spectral function and anti KN scattering amplitudes. It considers s-, p- and d-waves and the application of an in-medium projector algebra accounts for proper mixing of partial waves in the medium. The on-shell reduction scheme is also implemented by means of the projector algebra. The Bethe-Salpeter equation has been rewritten, so that the free-space anti KN scattering can be used as the interaction kernel for the in-medium scattering equation. The latter free-space scattering is based on a realistic coupled-channel dynamics and chiral SU(3) Lagrangian. Our many-body approach is generalized for the presence of large scalar and vector nucleon mean-fields. It is supplemented by an improved renormalization scheme, that systematically avoids the occurrence of medium-induced power-divergent structures and kinematical singularities. A modified projector basis has been introduced, that allows for a convenient inclusion of nucleon mean-fields. The description of the results in terms of the 'physical' basis is done with the help of a recoupling scheme based on the projector algebra properties. (orig.)
Recent studies of pion electroproduction on the deuteron carried out by the ANL group at ALS, Saclay, show that even in the weakly-bound deuteron, multinucleon processes alter the electroproduction amplitudes in the forward direction. The data provide the first experimental indications for a significant change in the pion-nucleon coupling for nucleons bound in nuclei. It is clear that forward-angle electroproduction may be a sensitive probe of the properties of the pion coupling in the nuclear medium. At CEBAF, we will study longitudinal charged-pion electroproduction (in the excitation region below the delta isobar) along the direction of the momentum transfer where the charge scattering process dominates. Direct comparison of the cross section per nucleon in deuterium and the helium isotopes with the experimental value for the free nucleon will provide estimates of the strength of the nuclear pion field. A Rosenbluth separation of the longitudinal and transverse cross sections will be performed for four-momentum transfers of 2.5 and 10 fm{sup -2}. Measurements for a number of light nuclei will provide useful data on the sensitivity of longitudinal electroproduction to nuclear binding effects. If current conceptions of pion-exchange currents in nuclei are correct, longitudinal electroproduction will be suppressed at the lower momentum transfer and enhanced at the higher momentum transfer by multinucleon processes. If on the other hand, as suggested by recent data from Drell-Yan studies of antiquark structurefunctions, there is no such enhancement, a reformulation of pion exchange models of the medium- and short-range properties of nuclear forces will be required. Our proposal to carry out such a series of measurements at CEBAF using the coincident-pair spectrometer system planned for Hall C was approved. Pions will be observed in the short-orbit spectrometer (SOS) which will serve as the second arm.
Even though Quantum Chromodynamics (QCD) was formulated over three decades ago, it poses enormous challenges for describing the properties of hadrons from the underlying quark-gluon degrees of freedom. Moreover, the problem of describing the nuclear force from its quark-gluon origin is still open. While a direct solution of QCD to describe the hadrons and nuclear force is not possible at this time, we explore a variety of developed approaches ranging from phenomenology to first principle calculations at one or other level of approximation in linking the nuclear force to QCD. The Dyson Schwinger formulation (DSE) of coupled integral equations for the QCD Green’s functions allows a non-perturbative approach to describe hadronic properties, starting from the level of QCD n-point functions. A significant approximation in this method is the employment of a finite truncation of the system of DSEs, that might distort the physical picture. In this work we explore the effects of including a more complete truncation of the quark-gluon vertex function on the resulting solutions for the quark 2-point functions as well as the pseudoscalar and vector meson masses. The exploration showed strong indications of possibly large contributions from the explicit inclusion of the gluon 3- and 4-point functions that are omitted in this and previous analyses. We then explore the possibility of extrapolating state of the art lattice QCD calculations of nucleon form factors to the physical regime using phenomenological models of nucleonstructure. Finally, we further developed the Quark Meson Coupling model for describing atomic nuclei and nuclear matter, where the quark-gluon structure of nucleons is modeled by the MIT bag model and the nucleon many body interaction is mediated by the exchange of scalar and vector mesons. This approach allows us to formulate a fully relativistic theory, which can be expanded in the nonrelativistic limit to reproduce the well known phenomenological Skyrme-type interaction density functional, thus providing a direct link to well modeled nuclear forces. Moreover, it allows for a derivation of the equation of state for cold uniform dense nuclear matter for application to calculations of the properties of neutron stars.
In the resonating group method, the many-nucleon wave function is taken to be totally antisymmetric and describes the motion of nucleons grouped into clusters. A new type of cluster internal wave function that can produce improved results, especially for the cluster binding energy, is proposed. We hope to utilize this type of cluster wave function in various resonating-group scattering and reaction calculations. A preliminary study in the case of p + 4He scattering yields favorable conclusions.
The cross section for the {sup 3}He(e,e{prime}d)p reaction has been measured as a function of the missing momentum p{sub m} in (q,omega)-constant kinematics at beam energies of 370 and 576 MeV for values of the three-momentum transfer q of 412, 504 and 604 MeV/c. The L(+ TT), T and LT structurefunctions have been separated for q=412 and 504 MeV/c. The data are compared to three-body Faddeev calculations, including meson-exchange currents (MEC), and to calculations based on a covariant diagrammatic expansion. The influence of final-state interactions and meson-exchange currents is discussed. The p{sub m}-dependence of the data is reasonably well described by all calculations. However, the most advanced Faddeev calculations, which employ the AV18 nucleon-nucleon interaction and include MEC, overestimate the measured cross sections, especially the longitudinal part, and at the larger values of q. The diagrammatic approach gives a fair description of the cross section, but under (over)estimates the longitudinal (transverse) structurefunction.
Parton distribution functions, which represent the flavor and spin structure of the nucleon, provide invaluable information in illuminating quantum chromodynamics in the confinement region. Among various processes that measure such parton distribution functions, semi-inclusive deep inelastic scattering is regarded as one of the golden channels to access transverse momentum dependent parton distribution functions, which provide a 3-D view of the nucleonstructure in momentum space. The Jefferson Lab experiment E06-010 focuses on measuring the target single and double spin asymmetries in the 3He(e, e'pi+,-)X reaction with a transversely polarized 3He target in Hall A with a 5.89 GeV electron beam. A leading pion and the scattered electron are detected in coincidence by the left High-Resolution Spectrometer at 16\\circ and the BigBite spectrometer at 30\\circ beam right, respectively. The kinematic coverage concentrates in the valence quark region, x \\sim0.1-0.4, at Q2 \\sim 1-3 GeV2. The Collins and Sivers asymmet...
The structure of the sup 1 sup 0 Be nucleus has been studied by using fully antisymmetrized 10-nucleon wave functions built in a microscopic alpha+alpha+n+n four-cluster model. The effective two-nucleon interaction employed contains central and spin-orbit components as well as the Coulomb potential. Stochastic optimization of basis functions has been applied to obtain not only the ground-state but also other bound excited-states which lie below the sup 9 Be+n threshold. Calculated energy spectra and electromagnetic transition rates are in reasonable agreement with experiment. The calculation has reasonably well reproduced the second 0 sup + state at 6.18 MeV as well as the tightly bound ground-state. The second 0 sup + state has been found to have spatially very extended structure in which two alpha-particles are separated like in sup 8 Be. The change of neutron and proton density distributions is analyzed for sup 8 Be to sup 1 sup 0 Be as a function of the number of valence neutrons outside two alpha-particl...
Nuclear-medium effects on the weak structurefunctions F2(x,Q2) and F3(x,Q2) in charged-current neutrino and antineutrino induced deep-inelastic reactions in 208Pb have been studied. The calculations have been performed in a theoretical model using relativistic nuclear spectral functions which incorporate Fermi motion, binding, and nucleon correlations. We have also included the pion and rho meson cloud contributions calculated from a microscopic model for meson-nucleus self-energies. Using these structurefunctions, differential scattering cross sections have been obtained and compared with the CERN Hybrid Oscillation Research Apparatus (CHORUS) data. The results for the ratios (2FiPb)/(208FiD), (4FiPb)/(208FiHe), (12FiPb)/(208FiC), (16FiPb)/(208FiO), and (56FiPb)/(208FiFe) (i=2,3) have also been obtained and compared with some of the phenomenological fits.
An excellent description of both spin-independent and spin-dependent quark distributions and structurefunctions has been obtained with a modified Nambu-Jona-Lasinio model, which is free of unphysical thresholds for nucleon decay into quarks--hence incorporating an important aspect of confinement. We utilize this model to investigate nuclear medium modifications to structurefunctions, and find that we are readily able to reproduce both nuclear matter saturation and the experimental F{sub 2N}{sup A}/F{sub 2N} ratio, that is, the EMC effect. Applying this framework to determine g{sub 1p}{sup A}, we find that the ratio g{sub 1p}{sup A}/g{sub 1p} differs significantly from 1, with the quenching caused by the nuclear medium being about twice that of the spin-independent case. This represents an exciting result, which if confirmed experimentally, will reveal much about the quark structure of nuclear matter.
We consider the two-nucleon system at next-to-next-to-next-to-leading order (N{sup 3}LO) in chiral effective field theory. The two--nucleon potential at N{sup 3}LO consists of one-, two- and three-pion exchanges and a set of contact interactions with zero, two and four derivatives. In addition, one has to take into account various isospin--breaking and relativistic corrections. We employ spectral function regularization for the multi--pion exchanges. Within this framework, it is shown that the three-pion exchange contribution is negligibly small. The low--energy constants (LECs) related to pion-nucleon vertices are taken consistently from studies of pion-nucleon scattering in chiral perturbation theory. The total of 26 four--nucleon LECs has been determined by a combined fit to some np and pp phase shifts from the Nijmegen analysis together with the nn scattering length.
We extend our formulation of relativistic three-nucleon Faddeev equations to include both pairwise interactions and a three-nucleon force. Exact Poincaré invariance is realized by adding interactions to the mass Casimir operator (rest Hamiltonian) of the noninteracting system without changing the spin Casimir operator. This is achieved by using interactions defined by rotationally invariant kernels that are functions of internal momentum variables and single-particle spins that undergo identical Wigner rotations. To solve the resulting equations one needs matrix elements of the three-nucleon force with these properties in a momentum-space partial-wave basis. We present two methods to calculate matrix elements of three-nucleon forces with these properties. For a number of examples we show that at higher energies, where effects of relativity and of three-nucleon forces are non-negligible, a consistent treatment of both is required to properly analyze the data.
In the first part of this thesis, the role of short-range correlations in quark matter is explored within the framework of the Nambu-Jona-Lasinio model. Starting from a next-to-leading order expansion in the inverse number of the quark colors, a fully self-consistent model constructed that employs the close relations between spectral functions and self-energies. In contrast to the usual quasiparticle approximations, this approach allows the investigation of the collisional broadening of the quark spectral function. Numerical calculations at various chemical potentials and zero temperature show that the short-range correlations do not only induce a finite width of the spectral function but also have some influence on the structure of the chiral phase transition. In the second part of this thesis, the temperature and density dependence of the nucleon spectral function in symmetric nuclear matter is investigated. The short-range correlations can be well described by a simple, self-consistent model on the one-particle-two-hole and two-particle-one-hole level (1p2h, 2p1h). The thermodynamically consistent description of the mean-field properties of the nucleons is ensured by incorporating a Skyrme-type potential. Calculations at temperatures and densities that can also be found in heavy-ion collisions or supernova explosions and the formation of neutron stars show that the correlations saturate at high temperatures and densities. (orig.)
We use the Nambu-Jona-Lasinio model as an effective quark theory to investigate the medium modifications of the nucleon electromagnetic form factors. By using the equation of state of nuclear matter derived in this model, we discuss the results based on the naive quark-scalar diquark picture, the effects of finite diquark size, and the meson cloud around the constituent quarks. We apply this description to the longitudinal response function for quasielastic electron scattering. RPA correlations, based on the nucleon-nucleon interaction derived in the same model, are also taken into account in the calculation of the response function.
We use the Nambu-Jona-Lasinio model as an effective quark theory to investigate the medium modifications of the nucleon electromagnetic form factors. By using the equation of state of nuclear matter derived in this model, we discuss the results based on the naive quark-scalar diquark picture, the effects of finite diquark size, and the meson cloud around the constituent quarks. We apply this description to the longitudinal response function for quasielastic electron scattering. RPA correlations, based on the nucleon-nucleon interaction derived in the same model, are also taken into account in the calculation of the response function.
A variational Monte Carlo method is used to generate sets of orthogonal trial functions, Psi_T(J^pi,T), for given quantum numbers in various light p-shell nuclei. These Psi_T are then used as input to Green's function Monte Carlo calculations of first, second, and higher excited (J^pi,T) states. Realistic two- and three-nucleon interactions are used. We find that if the physical excited state is reasonably narrow, the GFMC energy converges to a stable result. With the combined Argonne v_18 two-nucleon and Illinois-2 three-nucleon interactions, the results for many second and higher states in A = 6--8 nuclei are close to the experimental values.
We emphasize that the composite structure of the nucleon may play quite an important role in nuclear physics. It is shown that the momentum-dependent repulsive force of second order in the scalar field, which plays an important role in Dirac phenomenology, can be found in the quark-meson coupling (QMC) model, and that the properties of nuclear matter are well described through the quark-scalar density in a nucleon and a self-consistency condition for the scalar field. The difference between theories of point-like nucleons and composite ones may be seen in the change of the \\omega-meson mass in nuclear matter if the composite nature of the nucleon suppresses contributions from nucleon-antinucleon pair creation.
The nucleon elastic electromagnetic form factors are fundamental quantities needed for an understanding of nucleon and nuclear electromagnetic structure. The evolution of the Sachs electric and magnetic form factors with Q2, the square of the four-momentum transfer, is related to the distribution of charge and magnetization within the nucleon. High precision measurements of the nucleon form factors are essential for stringent tests of our current theoretical understanding of confinement within the nucleon. Measurements of the neutron form factors, in particular, those of the neutron electric form factor, have been notoriously difficult due to the lack of a free neutron target and the vanishing integral charge of the neutron. Indeed, a precise measurement of the neutron electric form factor has eluded experimentalists for decades; however, with the advent of high duty-factor polarized electron beam facilities, experiments employing polarization degrees of freedom have finally yielded the first precise measure...
The evaluation of microscopic optical model potentials, based on density-dependent effective interactions, involve multi-dimensional integrals to account for the full Fermi motion of the bound nucleons throughout the nucleus. In momentum space, if a spherical matter distribution is assumed, then each matrix element of the optical potential involves the evaluation of sevendimensional integrals. In this work we report results when a full account of these integrals is in place, retaining the genuine off-shell structure of the nucleon-nucleon effective interaction given by solutions for the g matrix in the Brueckner-Bethe-Goldstone framework. The calculated potentials, based on the Paris nucleon-nucleon potential, are applied to proton elastic scattering from 16O and 90Zr at beam energies between 30 and 65 MeV. Comparisons made with alternative approximations to the unabridged expression exhibit moderate differences among their corresponding scattering observables.
We consider the cross section in Fourier space, conjugate to the outgoing hadron's transverse momentum, where convolutions of transverse momentum dependent parton distribution functions and fragmentation functions become simple products. Individual asymmetric terms in the cross section can be projected out by means of a generalized set of weights involving Bessel functions. Advantages of employing these Bessel weights are that they suppress (divergent) contributions from high transverse momentum and that soft factors cancel in (Bessel-) weighted asymmetries. Also, the resulting compact expressions immediately connect to previous work on evolution equations for transverse momentum dependent parton distribution and fragmentation functions and to quantities accessible in lattice QCD. Bessel-weighted asymmetries are thus model independent observables that augment the description and our understanding of correlations of spin and momentum in nucleonstructure.
We consider the cross section in Fourier space, conjugate to the outgoing hadron's transverse momentum, where convolutions of transverse momentum dependent parton distribution functions and fragmentation functions become simple products. Individual asymmetric terms in the cross section can be projected out by means of a generalized set of weights involving Bessel functions. Advantages of employing these Bessel weights are that they suppress (divergent) contributions from high transverse momentum and that soft factors cancel in (Bessel-) weighted asymmetries. Also, the resulting compact expressions immediately connect to previous work on evolution equations for transverse momentum dependent parton distribution and fragmentation functions and to quantities accessible in lattice QCD. Bessel-weighted asymmetries are thus model independent observables that augment the description and our understanding of correlations of spin and momentum in nucleonstructure.
The University of Massachusetts (UMass) Nuclear Physics Program continues to concentrate upon the use of the electromagnetic interaction in a joint experimental and theoretical approach to the study of nucleon and nuclear properties. During the past year the activities of the group involved data analysis, design and construction of equipment, planning for new experiments, completion of papers and review articles for publication, writing of proposals for experiments, but very little actual data acquisition. Section II.A. described experiments at Bates Linear Accelerator Center. They include the following: electrodisintegration of deuteron; measurement of the elastic magnetic form factor of {sup 3}He; coincidence measurement of the D(e,e{prime}p) cross section; transverse form factors of {sup 117}Sn; ground state magnetization density of {sup 89}Y; and measurement of the 5th structurefunction in deuterium and {sup 12}C. Section II.B. includes the following experiments at Stanford Linear Accelerator Center: deuteron threshold electrodisintegration; separation of charge and magnetic form factors of the neutron and proton; measurement of the X-, Q{sup 2}, and A-dependence of R = {sigma}{sub L}/{sigma}{sub T}; and analysis of 14.5 GeV electrons and positions scattered from gases in the PEP Storage Ring. Section III.C. includes the following experiments at NIKHEF and Lund: complementary studies of single-nucleon knockout and single-nucleon wave functions using electromagnetic interactions and single-particle densities of sd-shell nuclei. Section II.D. discusses preparations for future work at CEBAF: electronics for the CLAS region 1 drift chamber Section III. includes theoretical work on parity-violating electron scattering and nuclear structure.
primary and secondary nucleons (protons and neutrons) through any number of. 1 ayers ... Contributions from target nucleus fragmentation and recoil are also included ... Figures 2 and 3 display dose equivalent (in rem), as a function of water ...
A method is suggested which takes into account the nonorthogonality of single-particle wave functions of colliding nuclei in processes of deep inelastic heavy ion collisions at energies of about 10 MeV/nucleon.
We discuss a method of taking into account the nonorthogonality of the single-particle wave functions of colliding nuclei in deep inelastic interactions of heavy ions at energies of order 10 MeV/nucleon.
Parity violation in elastic electron-nucleon scattering is studied with the basic goal of improving the understanding of electroweak hadronic structure with special emphasis on the strangeness content in the nucleon. Models for the parity-violating (PV) asymmetry are provided and compared with the world data measured at very different kinematics. The effects introduced in the PV asymmetry due to alternative descriptions of the hadronic structure are analyzed in detail. In particular, a wide selection of prescriptions for dealing with the electromagnetic and neutral current weak interaction nucleon form factors, including the most recent ones used in the literature, is considered.
We investigate in detail the compression modulus of nuclear matter as a function of the effective nucleon mass. We include consistently in our modelling chemical equilibrium as well as baryon number and electric charge conservation and investigate properties of neutron stars. Among other predictions, we focus on the dependence of the maximum mass of a sequence of neutron stars as a function of the compression modulus and the nucleon effective mass.
Etude De La Structure Du Nucleon Via La Photoproduction De Mesons Pseudoscalaires A Graal. Mesure Des Sections Efficaces Et Des Asymetries Faisceau Des Reaction $\\gamma + P \\rightarrow P + \\pi^{0}$ Et $\\gamma + P \\rightarrow P + \\eta$ Pour $e_\\gamma$
The COMPASS Collaboration has two main fields of interest: to improve our knowledge of the nucleon spin structure and to study hadrons through spectroscopy. These goals require a multipurpose universal spectrometer such as the COmmon Muon and Proton Apparatus for Structure and Spectroscopy, COMPASS. In its first years of data taking (2002-2007), the nucleon spin structure was studied with a polarized muon beam scattering off a polarized target. These studies resumed in 2010 and will continue until at least 2011. The years 2008 and 2009 were dedicated to hadron spectroscopy using hadron beams. In the case of the nucleonstructure studies, it is crucial to detect with high precision the incoming beam muon (160 GeV), the scattered muon and the produced hadrons. The large amount of high quality data accumulated provides access to the unpolarized and polarized parton distributions of the nucleon and the hadronization process. Subtle differences (asymmetries) between polarized cross sections have been predicted for...
The increasingly common use of the double-polarization technique to measure the nucleon electromagnetic form factors, in the last 15 years, has resulted in a dramatic improvement of the quality of all four nucleon electromagnetic form factors, GEp, GMp, GEn and GMn. It has also completely changed our understanding of the proton structure, having resulted in a distinctly different Q^2-dependence for GEp and GMp, contradicting the prevailing wisdom of the 1990's based on cross section measurements and the Rosenbluth separation method, namely that GEp and GMp obey a ``scaling'' relation ?GEp˜GMp. A direct consequence of the faster decrease of GEp revealed by the JLab polarization experiments was the disappearance of the early scaling F2/F1˜1/Q^2 predicted by perturbative QCD. Electromagnetic form factors encode the information on the structure of a strongly interacting many-body system of quarks and gluons, such as the nucleon. Much theoretical efforts have been made to understand the nucleon form factors. This reflects the fact that a direct calculation of nucleon form factors from the underlying theory, Quantum Chromodynamics, is complicated as it requires, in the few GeV momentum transfer region, non-perturbative methods. Therefore, in practice it involves approximations which often have a limited range of applicability. The unexpected results of the nucleon electromagnetic form factors using double-polarization high-precision experiments, have challenged our theoretical understanding of the structure of the nucleon. They have triggered several new theoretical developments, which will be discussed. )
We compare recent CEBAF data on inclusive electron scattering of 4.05 GeV electrons on nuclei with predictions, based on a relation between structurefunctions of a nucleus, a nucleon, and a nucleus of point nucleons. The latter contains nuclear dynamics, e.g., binary collision contributions in addition to the asymptotic limit. The agreement with data is good, except in low-intensity regions. Computed ternary collision contributions appear too small for an explanation. We perform scaling analyses in Gurvitz's scaling variable and find that for y{sub G} (gte/lte) 0, ratios of scaling functions for pairs of nuclei differ by less than 15-20% from 1. Scaling functions for y{sub G} less than 0 are, for increasing Q{sup 2}, shown to approach a plateau from above. We observe only weak Q{sup 2} dependence in final-state interactions (FSI), which in the relevant kinematic region is ascribed to the diffractive nature of NN amplitudes appearing in FSI. This renders it difficult to separate asymptotic from FSI parts and seriously hampers the extraction of n(p) from scaling analyses in a model-independent fashion.
We compare recent CEBAF data on inclusive electron scattering of 4.05 GeV electrons on nuclei with predictions, based on a relation between structurefunctions of a nucleus, a nucleon, and a nucleus of point nucleons. The latter contains nuclear dynamics, e.g., binary collision contributions in addition to the asymptotic limit. The agreement with data is good, except in low-intensity regions. Computed ternary collision contributions appear too small for an explanation. We perform scaling analyses in Gurvitz's scaling variable and find that for y sub G (gte/lte) 0, ratios of scaling functions for pairs of nuclei differ by less than 15-20% from 1. Scaling functions for y sub G less than 0 are, for increasing Q sup 2 , shown to approach a plateau from above. We observe only weak Q sup 2 dependence in final-state interactions (FSI), which in the relevant kinematic region is ascribed to the diffractive nature of NN amplitudes appearing in FSI. This renders it difficult to separate asymptotic from FSI parts and ser...
We compare recent CEBAF data on inclusive electron scattering of 4.05 GeV electrons on nuclei with predictions, based on a relation between structurefunctions (SF) of a nucleus, a nucleon, and a nucleus of point nucleons. The latter contains nuclear dynamics, e.g., binary collision contributions in addition to the asymptotic limit. The agreement with data is good, except in low-intensity regions. Computed ternary collision contributions appear too small for an explanation. We perform scaling analyses in Gurvitz's scaling variable and find that for y{sub G} {gt_or_lt} 0, ratios of scaling functions for pairs of nuclei differ by less than 15-20% from 1. Scaling functions for (y{sub G} < 0) are, for increasing Q{sup 2}, shown to approach a plateau from above. We observe only weak Q{sup 2} dependence in final-state interactions (FSI), which in the relevant kinematic region is ascribed to the diffractive nature of NN amplitudes appearing in FSI. This renders it difficult to separate asymptotic from FSI parts and seriously hampers the extraction of n(p) from scaling analyses in a model-independent fashion.
The cross section for p- sup 1 sup 1 Li elastic scattering at 800 Mev/u is evaluated with the mean-field optical model KMT and few-body MST framework, making use of a given projectile structure model and nucleon-nucleon (NN) transition amplitudes. We show that the calculated elastic scattering observables may not be very sensitive to details on the structure input but it is important to describe the scattering within a few-body approach.
The two-nucleon spectral function in nuclear matter is studied using correlated basis function perturbation theory, including central and tensor correlations produced by a realistic Hamiltonian. The factorization property of the two-nucleon momentum distribution into the product of the two single nucleon distributions shows up in an analogous property of the spectral function. The correlated model yields a two-hole contribution quenched with respect to the Fermi gas model, while the peaks acquire a quasiparticle width that vanishes as the two momenta approach the Fermi momentum kF. In addition, three-hole one-particle and more complicated intermediate states give rise to a background, spread out in energy and absent in the uncorrelated models. The possible connections with one- and two-nucleon emission processes are briefly discussed.
The two-nucleon spectral function in nuclear matter is studied using Correlated Basis Function perturbation theory, including central and tensor correlations produceded by a realistic hamiltonian. The factorization property of the two-nucleon momentum distribution into the product of the two single nucleon distributions shows up in an analogous property of the spectral function. The correlated model yields a two-hole contribution quenched whith respect to Fermi gas model, while the peaks acquire a quasiparticle width that vanishes as the two momenta approach $k_F$. In addition, three-hole one-particle and more complicated intermediate states give rise to a background, spread out in energy and absent in the uncorrelated models. The possible connections with one- and two-nucleon emission processes are briefly discussed.
Several observables of unbound nucleons which are to some extent sensitive to the medium modifications of nucleon-nucleon elastic cross sections in neutron-rich intermediate energy heavy ion collisions are investigated. The splitting effect of neutron and proton effective masses on cross sections is discussed. It is found that the transverse flow as a function of rapidity, the Q{sub zz} as a function of momentum, and the ratio of halfwidths of the transverse to that of longitudinal rapidity distribution R{sub t/l} are very sensitive to the medium modifications of the cross sections. The transverse momentum distribution of correlation functions of two nucleons does not yield information on the in-medium cross section.
We report on a detailed study of longitudinal strength in the nucleon resonance region, presenting new results from inclusive electron-proton cross sections measured at Jefferson Lab Hall C in the four-momentum transfer range 0.2 < Q^2 < 5.5 GeV^2. The data have been used to accurately perform over 170 Rosenbluth-type longitudinal / transverse separations. The precision R = sigma_L / sigma_T data are presented here, along with the first separate values of the inelastic structurefunctions F_1 and F_L in this regime. The resonance longitudinal component is found to be significant. With the new data, quark-hadron duality is observed above Q^2 = 1 GeV^2 in the separated structurefunctions independently.
Deuteron elastic and deep inelastic electromagnetic properties have been studied within the front-form Hamiltonian dynamics, using a Poincar\\'e-covariant current operator. The deuteron elastic form factors are strongly sensitive to different realistic $N-N$ interactions, while the relevance of different nucleon form factor models is huge for $A(Q^2)$, weak for $B(Q^2)$ and negligible for the tensor polarization. The possibility to gain information on the neutron charge form factor from an analysis of $A(Q^2)$ has been investigated. The extraction of the neutron structurefunctions from the deuteron deep inelastic structurefunctions at high $x$ is largely affected by the use of our Poincar\\'e-covariant relativistic approach instead of the usual impulse approximation within an instant-form approach.
We report on the first measurement of the F2 structurefunction of the neutron from semi-inclusive scattering of electrons from deuterium, with low-momentum protons detected in the backward hemisphere. Restricting the momentum of the spectator protons to < 100 MeV and their angles to < 100 degrees relative to the momentum transfer allows an interpretation of the process in terms of scattering from nearly on-shell neutrons. The F2n data collected cover the nucleon resonance and deep-inelastic regions over a wide range of x for 0.65 < Q2 < 4.52 GeV2, with uncertainties from nuclear corrections estimated to be less than a few percent. These measurements provide the first determination of the neutron to proton structurefunction ratio F2n/F2p at 0.2 < x < 0.8, essentially free of nuclear corrections.
We present a model that realizes both resonance-Regge (Veneziano) and parton-hadron (Bloom-Gilman) duality. We first review the features of the Veneziano model and we discuss how parton-hadron duality appears in the Bloom-Gilman model. Then we review limitations of the Veneziano model, namely that the zero-width resonances in the Veneziano model violate unitarity and Mandelstam analyticity. We discuss how such problems are alleviated in models that construct dual amplitudes with Mandelstam analyticity (so-called DAMA models). We then introduce a modified DAMA model, and we discuss its properties. We present a pedagogical model for dual amplitudes and we construct the nucleonstructurefunction F2(x,Q2). We explicitly show that the resulting structurefunction realizes both Veneziano and Bloom-Gilman duality.
Nucleonstructurefunctions can be observed in Deep Inelastic Scattering experiments, but it is an outstanding challenge to confront them with fully non-perturbative QCD results. For this purpose we investigate the product of electromagnetic currents (with large photonmomenta) between quark states (of low momenta). By means of an Operator Product Expansion the structurefunction can be decomposed into matrix elements of local operators, and Wilson coefficients. For consistency both have to be computed non-perturbatively. Here we present precision results for a set of Wilson coefficients. They are evaluated from propagators for numerous quark momenta on the lattice, where the use of chiral fermions suppresses undesired operator mixing. This overdetermines the Wilson coefficients, but reliable results can be extracted by means of a Singular Value Decomposition. (orig.)
The spin structure of the nucleon has been studied in deep inelastic scattering of polarized leptons from polarized nucleon targets. When we combine polarized proton and neutron structurefunctions, g_1^p and g_1^n, and the ?-decay constant of octet baryons, one concludes that only a small fraction of the proton spin is carried by quarks and anti-quarks together. In this process, flavor SU(3) has been assumed, and it is crucial to have independent measurements of the quark and anti-quark contribution to the proton spin. Production of W in polarized pp collisions is a unique tool to study the spin-flavor structure of the proton. W is produced through a pure V-A interaction, which means the helicity states of the quark and anti-quark are fixed. In addition, W couples to the weak charge, which correlates strongly with the quark flavor. In polarized pp collisions at 500 GeV using the RHIC as a polarized collider, production of W will be copious due to the high expected luminosity (2×10^32cm-2sec-1). Production of W can be identified with high-pT muons in the Muon Arms or high-pT electrons in the Central Arms in PHENIX. Sensitivity of the spin-flavor studies will be discussed based on the expected yield and on background considerations.
A detailed study of the 4He longitudinal response function R_L(\\omega,q) is performed at different kinematics, with particular emphasis on the role of three-nucleon forces. The effects shown are the results of an ab initio calculation where the full four-body continuum dynamics is considered via the Lorentz integral transform method. The contributions of the various multipoles to the longitudinal response function are analyzed and integral properties of the response are discussed in addition. The Argonne V18 nucleon-nucleon interaction and two different three-nucleon force models (Urbana IX, Tucson-Melbourne') are used. At lower momentum transfer (q<= 200$ MeV/c) three-nucleon forces play an important role. One even finds a dependence of R_L on the three-nucleon force model itself with differences up to 10%. Thus a Rosenbluth separation of the inclusive electron scattering cross section of 4He at low momentum transfer would be of high value in view of a discrimination between different three-nucleon force ...
We consider the two-nucleon system at next-to-next-to-next-to-leading order (N{sup 3}LO) in chiral effective field theory. The two-nucleon potential at N{sup 3}LO consists of one-, two- and three-pion exchanges and a set of contact interactions with zero, two and four derivatives. In addition, one has to take into account various isospin-breaking and relativistic corrections. We employ spectral function regularization for the multi-pion exchanges. Within this framework, it is shown that the three-pion exchange contribution is negligibly small. The low-energy constants (LECs) related to pion-nucleon vertices are taken consistently from studies of pion-nucleon scattering in chiral perturbation theory. The total of 26 four-nucleon LECs has been determined by a combined fit to some np and pp phase shifts from the Nijmegen analysis together with the nn scattering length. The description of nucleon-nucleon scattering and the deuteron observables at N{sup 3}LO is improved compared to the one at NLO and NNLO. The theoretical uncertainties in observables are estimated based on the variation of the cut-offs in the spectral function representation of the potential and in the regulator utilized in the Lippmann-Schwinger equation.
The nucleon-nucleon forces arise at short distance between the constituent quarks whereas for larger distances the production of quark-antiquark pairs is dominating. In the static approximation a baryon is constructed as the product of three heavy quark propagators distributed in a sphere. The nucleon-nucleon system is built from the product of two baryons with their centers separated by some distance d. Our calculations show that the pure gluon exchange leads to an attractive potential for the nucleon-nucleon system which is not very sensitive to the quark sea. The reason for the attractive forces between nucleons consisting of heavy valence quarks is the increasing quark-antiquark confinement-potential. Beyond the static quark approximation one can compute dynamical quark propagators coupled to hadrons. From the spectral decomposition of the hadron-hadron Green-function wave functions and effective potentials can be extracted. A preliminary study of three dimensional lattice QED seems to exhibit a repulsive core between two electron-positron pairs. A status report on the extension of the investigations to lattice QCD will be given.
We present a summary of a recent workshop held at Duke University on Partonic Transverse Momentum in Hadrons: Quark Spin-Orbit Correlations and Quark-Gluon Interactions. The trans- verse momentum dependent parton distribution functions (TMDs), parton-to-hadron fragmenta- tion functions, and multi-parton correlation functions, were discussed extensively at the Duke workshop. In this paper, we summarize first the theoretical issues concerning the study of partonic structure of hadrons at a future electron-ion collider (EIC) with emphasis on the TMDs. We then present simulation results on experimental studies of TMDs through measurements of single spin asymmetries (SSA) from semi-inclusive deep-inelastic scattering (SIDIS) processes with an EIC, and discuss the requirement of the detector for SIDIS measurements. The dynamics of parton correlations in the nucleon is further explored via a study of SSA in D (`D) production at large transverse momenta with the aim of accessing the unexplored tri-gluon correlation f...
Photoproduction of open charm is reviewed, both as a tool for studying the properties of charm particles such as spectroscopy, decays, and lifetimes, and as a testing ground for theoretical calculations of production dynamics. Many characteristics of charm photoproduction are described in terms of the leading order (LO) {alpha}{sub EM}{alpha}{sub S} Photon-Gluon Fusion (PGF) model. The next-to-leading order (NLO) corrections of strength {alpha}{sub EM}{alpha}{sub S}{sup 2} due to radiation of additional gluons are then added. The sensitivities of the NLO calculations on the mass of the charm quark, m{sub c}, and on the choice of the gluon structurefunction of the nucleon are illustrated for the energy dependence of the cross section for charm photoproduction. These are compared with fixed target data and new HERA data. The single charm particle inclusive distributions in x{sub f} and p{sub {perpendicular}}{sup 2}, along with {sigma}({gamma}N {yields} c{anti c}X) give good estimates of m{sub c} and n{sub g}, the shape parameter for the gluon distribution within the nucleon. As in hadroproduction, some disagreements between prediction and observation begin to appear in trying to simultaneously match the distributions in both p{sub {perpendicular}}{sup 2} for single charm particles and in the {Delta}{Phi} acoplanarity angle between pairs of charm particles. These can be partially remedied by modifying the fragmentation function for c-quarks into charm particles, and by including extra k{sub {perpendicular}}{sup 2} transverse smearing of the gluon distributions within the target nucleon. Initial studies of the relative production between charm particles and anti-particles indicate disagreement with the predictions of the independent string fragmentation model.
We are presenting the first ab initio structure investigation of the loosely bound {sup 11}Be nucleus, together with a study of the lighter isotope {sup 9}Be. The nuclear structure of these isotopes is particularly interesting due to the appearance of a parity-inverted ground state in {sup 11}Be. Our study is performed in the framework of the ab initio no-core shell model. Results obtained using four different, high-precision two-nucleon interactions, in model spaces up to 9{h_bar}{Omega}, are shown. For both nuclei, and all potentials, we reach convergence in the level ordering of positive- and negative-parity spectra separately. Concerning their relative position, the positive-parity states are always too high in excitation energy, but a fast drop with respect to the negative-parity spectrum is observed when the model space is increased. This behavior is most dramatic for {sup 11}Be. In the largest model space we were able to reach, the 1/2{sup +} level has dropped down to become either the first or the second excited state, depending on which interaction we use. We also observe a contrasting behavior in the convergence patterns for different two-nucleon potentials, and argue that a three-nucleon interaction is needed to explain the parity inversion. Furthermore, large-basis calculations of {sup 13}C and {sup 11}B are performed. This allows us to study the systematics of the position of the first unnatural-parity state in the N = 7 isotone and the A = 11 isobar. The {sup 11}B run in the 9{h_bar}{Omega} model space involves a matrix with dimension exceeding 1.1 x 10{sup 9}, and is our largest calculation so far. We present results on binding energies, excitation spectra, level configurations, radii, electromagnetic observables, and {sup 10}Be + n overlap functions.
The charge form factors of 3H, 3He, and 4He are calculated using the Monte Carlo method and variational ground-state wave functions obtained for the Argonne two-nucleon and Urbana-VII three-nucleon interactions. The model for the charge density operator contains the two-body exchange contributions of longest range. With some spread due to the uncertainty in the electromagnetic form factors of the nucleon the calculated charge form factors are in good agreement with the empirical values over the whole experimentally covered range of momentum transfer.
Transverse energy, charged particle, and photon pseudorapidity distributions have been studied as a function of the number of participants (N_{part}) and the number of binary nucleon-nucleon collisions (N_{coll}) in 158 A GeV Pb+Pb collisions over a wide impact parameter range. A scaling of the transverse energy and charged particle pseudorapidity density at midrapidity as N_{part}^{1.08} and N_{coll}^{0.83} is observed. This faster than linear scaling with N_{part} indicates a violation of the naive Wounded Nucleon Model.
We study the low energy part of the nucleon and \\Delta spectra by solving the Schr\\"{o}dinger equation for the three-quark system in the hyperspherical harmonic approach. The quark-quark hamiltonian considered includes, besides the usual one-gluon exchange, pion and sigma exchanges generated by the chiral symmetry breaking. This quark-quark potential reproduces, in a Resonating Group Method calculation, the nucleon-nucleon scattering phase shifts and the deuteron properties. The baryonic spectrum obtained is quite reasonable and the resulting wave function gives consistency to the ansatz used in the two baryon system.
We present measurements of differential cross sections and the analyzing powers A_y, iT11, T20, T21, and T22 at E_c.m.=431.3 keV. In addition, an excitation function of iT11(theta_c.m.=87.8 degrees) for 431.3 <= E_c.m. <= 2000 keV is presented. These data are compared to calculations employing realistic nucleon-nucleon interactions, both with and without three-nucleon forces. Excellent agreement with the tensor analyzing powers and cross section is found, while the Ay and iT11 data are found to be underpredicted by the calculations.
We discuss the no-core shell model approach, an ab initio method with effective Hamiltonians derived from realistic nucleon-nucleon (NN) potentials as a function of the finite harmonic-oscillator (HO) basis space. We present results for three and four nucleon systems in model spaces that include up to 50{Dirac_h}{Omega} and 18{bar h}{Omega} HO excitations, respectively. For these light systems we are in agreement with results obtained by other exact methods. Also, we calculate the properties of {sup 6}Li and {sup 6}He in model spaces up to 10{Dirac_h}{Omega}, and of {sup 12}C for model spaces up to 6{Dirac_h}{Omega}.
We report on recent work concerning the effect which the change in vacuum structure (negative energy Dirac sea), in the presence of a confining scalar field, has on the nucleonstructurefunctions and parton distributions. Using the Dirac equation in 1+1 dimensions, we show that distortions in the Dirac sea are responsible for part of the violation of the Gottfried sum rule -- i.e., part of the flavor asymmetry in the proton sea. Our basic argument is that, even if isospin is an exact symmetry, the presence of a confining potential changes the vacuum structure, and inevitably leads to a violation of SU(2) flavour symmetry in a hadron with a different number of valence $u$ and $d$ quarks. The same mechanism also leads to a prediction for $\\Delta\\bar{u}$ and $\\Delta\\bar{d}$.
A modified rotational energy band structure for an axially symmetric deformed even-even nucleus is derived under the assumption that all nucleons outside a filled nuclear core have angular momentum j, with j >> 1. An expansion derived by Belyaev and Zelevinski is used to express important band operators explicity as a function of the total angular momentum of the nucleus. These operators are then inserted into an equation of motion describing nuclear rotation, and band transition energies W/sub 2/ are calculated for nuclear transitions within a single rotational band. It is found that one adjustable parameter will suffice to specify the band structure given by W/sub 2/, and this band structure may be made to have energy level spacings lying between pure rotation and pure vibration.
The 2 primary requirements of a Martian habitat structure include sufficient structural integrity and effective radiation shielding. In addition, the capability to synthesize such building materials primarily from in-situ resources would significantly reduce the cost associated with transportation of such materials and structures from earth. To demonstrate the feasibility of such an approach we have fabricated samples in the laboratory using simulated in-situ resources, evaluated radiation shielding effectiveness using radiation transport codes and radiation test data, and conducted mechanical properties testing. In this paper we will present experimental results that demonstrate the synthesis of polyethylene from a simulated Martian atmosphere and the fabrication of a composite material using simulated Martian regolith with polyethylene as the binding material. Results from radiation transport calculations and data from laboratory radiation testing using a 500 MeV/nucleon Fe beam will be discussed. Mechanical properties of the proposed composite as a function of composition and processing parameters will also be presented.
Understanding the fundamental structure of matter requires an understanding of how quarks and gluons are assembled to form hadrons and of the structure of the protons which are the colliding particles at LHC. The arrangement of quarks and gluons inside nucleons can be probed by accelerating electrons, hadrons or nuclei to precisely controlled energies, smashing them into a target nucleus and examining in detail the final products. The LHC physics program is rich and has been widely described. It encompasses the searches for new particles up to masses of several TeV, including the elucidation of electroweak symmetry breaking and the possible observation of new symmetries at higher scales, and precision measurements of fundamental parameters in the electroweak and strong gauge sectors. Obviously, this program requires a precise understanding of the structure of the proton in terms of quarks and gluons, obtained from HERA and Tevatron. However, the knowledge on parton distribution functions (PDFs) is still limit...
The large-q/sup 2/ behavior of the elastic form factor of a hadron or nucleus is related by dimensional counting to the number of its elementary constituents. Dimensional-scaling predictions are derived for the B (q/sup 2/)/A (q/sup 2/) ratio in the Rosenbluth formula, multiple-photon-exchange corrections, and the mass parameters which control the onset of the asymptotic power law in the meson, nucleon, and deuteron form factors. A simple ''democratic chain'' model predicts that for large q/sup 2/, F (q/sup 2/) proportional (1 - q/sup 2//m/sub n/ /sup 2/)/sup 1 -//sup n/, where m/sub n/ /sup 2/ is proportional to the number of constituents n. In the case of nuclear targets (or systems with several scales of compositeness), we also define the ''reduced'' form factor f/sub A/(q/sup 2/) = F/sub A/(q/sup 2/)/Pi/sup A//sub i//sub 1/F/sub i/(q/sub i/ /sup 2/) in order to remove the minimal falloff of F/sub A/ due to the nucleon form factors at q/sub i/ /sup 2/ = (m/sub i/ /sup 2//M/sub A/ /sup 2/) q/sup 2/. Dimensional counting predicts (q/sup 2/)/sup A/sup -1//f/sub A/(q/sup 2/) ..-->.. const. A systematic comparison of the data for ..pi.., p, n, and deuteron form factors with the dimensional-scaling quark-model predictions is given. Predictions are made for the large-spacelike-q/sup 2/ /sup 3/He and ..cap alpha..-particle form factors. We also relate the deuteron form factor to (off-shell) fixed-angle n-p scattering, and show that the experimental results for t/sup 5/F/sub d/(t) are consistent with the magnitude of the s-wave wave function u' (0) obtained from soft-core potentials. The relation of the dynamics of an underlying six-quark state of the deuteron to the nucleon-potential and meson-exchange-current contributions is discussed. The scaling of q/sup 2/f/sub d/(q/sup 2/) implies that the nuclear potential (after removing the effects of nucleonstructure) displays the scale-invariant behavior of a theory without a fundamental length scale. Predictions are also given for the structurefunctions, fragmentation, and large-angle scattering of a nucleus. (AIP)
The cross section and several spin-dependent observables have been measured with high precision for the reaction H(d(vector sign),p(vector sign))d at 90 MeV/nucleon. Several calculations were performed based either purely on two-nucleon potentials or also including three-nucleon potentials (3NP). The cross sections are consistent with all calculations including 3NPs. However, no single calculation reproduces the analyzing powers and spin-transfer coefficients, although some spin observables are reproduced to various degrees by the different calculations. A good understanding of the spin structure of 3NP is still lacking.
We report the status of nucleonstructure calculations on the (2+1)-flavor dynamical domain-wall fermions ensembles with pion masses as low as 180 and 250 MeV on a lattice with about 4.6 fm spatial extent. A combination of the Iwasaki+dislocation- suppressing-determinant-ratio (I+DSDR) gauge action and DWF fermion action allows us to generate these ensembles at cutoff of about 1.4 GeV while keeping the residual mass small. Nucleon source Gaussian smearing has been optimized. Preliminary nucleon mass estimates are 0.98 and 1.05 GeV.
The electromagnetic form factors are the most fundamental quantities to describe the internal structure of the nucleon and the shape of a spatially extended particle is determined by its intrinsic quadrupole moment which can be related to the charge radii. We have calculated the electromagnetic form factors, nucleon charge radii and the intrinsic quadrupole moment of the nucleon in the framework of chiral constituent quark model. The results obtained are comparable to the latest experimental studies and also show improvement over some theoretical interpretations.
Relativistic models which simulate the two-nucleon system are constructed by means of the one-dimensional two-body Dirac equation, and differences between relativistic and nonrelativistic descriptions are illustrated. The relativistic interaction is assumed to consist of a Lorentz scalar S and the zeroth-component V of a vector; the S is attractive and the V repulsive. This interaction has intriguing features. Unlike the nonrelativistic case, the nucleon-nucleon phase shift can be fitted easily without assuming that the range of the repulsive V is smaller than that of the attractive S. Implications for deuteron structure are examined.
In the framework of unitary and analytic model of nucleon electromagnetic structure, the values of nucleon coupling constants are received from the fit of nucleon data. With the help of SU(3) relations the coupling constants of other hyperons, i.e., ??, Formula Not Shown , Formula Not Shown , Formula Not Shown , Formula Not Shown , Formula Not Shown are calculated. The values of hyperon coupling constants are used to predict the behaviour of hyperon electromagnetic form factors and corresponding cross sections Formula Not Shown hyperon???antihyperon.
We report on recent results obtained by the above collaboration on the collision processes involving three nucleons, where we pay particular attention on the dynamical role of the pion. After discussing the case at intermediate energies, where real pions can be produced and detected, we have considered the case at lower energies, where the pions being exchanged are virtual. The study has revealed the presence of some new pion-exchange mechanisms, which leads to a new three-nucleon force of tensor structure. Recently, the effect of this tensor three-nucleon force to the spin observables for neutron-deuteron scattering at low energy has been analyzed, and will be briefly reviewed. (author)
Understanding and predicting the formation of shell structure from nuclear forces is a central challenge for nuclear physics. While the magic numbers N = 2, 8, 20 are generally well understood, N = 28 is the first standard magic number that is not reproduced in microscopic theories with two-nucleon forces. In this paper, we show that three-nucleon forces give rise to repulsive interactions between two valence neutrons that are key to explain 48Ca as a magic nucleus, with a high 2+ excitation energy and a concentrated magnetic dipole transition strength. The repulsive three-nucleon mechanism improves the agreement with experimental binding energies. Communicated by Professor Jacek Dobaczewski
We investigate the possibility to describe nuclear matter in an approach constrained by the proeminent features of quantum chromodynamics. We mapped the in-medium nucleon self-energies of a point coupling relativistic mean-field model on self-energies obtained in effective theories of QCD. More precisely, the contributions to the nucleon self-energy have been separated into the short range part, driven principally by the quark structure of the nucleon described in a quark-diquark picture, and the long range part, dictated by pion dynamics and determined with in-medium chiral perturbation theory. A realistic description of nuclear matter saturation properties has been obtained with the inclusion of small phenomenological correction terms.
The microscopic many-body theory of the Nuclear Equation of State is discussed in the framework of the Bethe-Brueckner-Goldstone method. The expansion is extended up to the three hole-line diagrams contribution. Within the same scheme, the hole spectral function is calculated in nuclear matter to assess the relevance of nucleon-nucleon short-range correlations. The calculation is carried out by using several nucleon-nucleon realistic interactions. Results are compared with other approaches based on variational methods and transport theory. Discrepancies appear in the high-energy region, which is sensitive to short-range correlations, and are due to the different many-body treatment more than to the specific NN interaction used. Both nuclear matter Equation of State and spectral function appear to be dominated by two-body correlations. (orig.)
This paper discusses the derivation of an effective shell-model hamiltonian starting from a realistic nucleon-nucleon potential by way of perturbation theory. More precisely, we present the state of the art of this approach when the starting point is the perturbative expansion of the Qˆ-box vertex function. Questions arising from diagrammatics, intermediate-states and order-by-order convergences, and their dependence on the chosen nucleon-nucleon potential, are discussed in detail, and the results of numerical applications for the p-shell model space starting from chiral next-to-next-to-next-to-leading order potentials are shown. Moreover, an alternative graphical method to derive the effective hamiltonian, based on the Zˆ-box vertex function recently introduced by Suzuki et al., is applied to the case of a non-degenerate (0+2)?? model space. Finally, our shell-model results are compared with the exact ones obtained from no-core shell-model calculations.
Two-nucleon momentum distributions are calculated for the ground states of 3He and 4He as a function of the nucleons' relative and total momenta. We use variational Monte Carlo wave functions derived from a realistic Hamiltonian with two- and three-nucleon potentials. The momentum distribution of pp pairs is found to be much smaller than that of pn pairs for values of the relative momentum in the range (300--500) MeV/c and vanishing total momentum. However, as the total momentum increases to 400 MeV/c, the ratio of pp to pn pairs in this relative momentum range grows and approaches the limit 1/2 for 3He and 1/4 for 4He, corresponding to the ratio of pp to pn pairs in these nuclei. This behavior should be easily observable in two-nucleon knock-out processes, such as A(e,e'pN).
Two-nucleon momentum distributions are calculated for the ground states of {sup 3}He and {sup 4}He as a function of the nucleons' relative and total momenta. We use variational Monte Carlo wave functions derived from a realistic Hamiltonian with two- and three-nucleon potentials. The momentum distribution of pp pairs is found to be much smaller than that of pn pairs for values of the relative momentum in the range (300--500) MeV/c and vanishing total momentum. Howeer, as the totalmomentum increases to 400 MeV/c, the ratio of pp to pn pairs in this relative momentum range grows and approaches the limit 1/2 for {sup 3}He and 1/4 for {sup 4}He, corresponding to the ratio of pp to pn pairs in these nuclei. This behavior should be easily observable in two-nucleon knock-out processes, such as A(e, e'pN).
The cross section for the $^3$He(e, e$'$d)p reaction has been measured as a function of the missing momentum $p_m$ in q$\\omega$ -constant kinematics at beam energies of 370 and 576 MeV for values of the three-momentum transfer $q$ of 412, 504 and 604 \\mevc. The L(+TT), T and LT structurefunctions have been separated for $q$ = 412 and 504 \\mevc. The data are compared to three-body Faddeev calculations, including meson-exchange currents (MEC), and to calculations based on a covariant diagrammatic expansion. The influence of final-state interactions and meson-exchange currents is discussed. The $p_m$-dependence of the data is reasonably well described by all calculations. However, the most advanced Faddeev calculations, which employ the AV18 nucleon-nucleon interaction and include MEC, overestimate the measured cross sections, especially the longitudinal part, and at the larger values of $q$. The diagrammatic approach gives a fair description of the cross section, but under(over)estimates the longitudinal (tran...
Nuclear structure of {sup 7}Be, {sup 8}B and {sup 7,8}Li is studied within the ab initio no-core shell model (NCSM). Starting from high-precision nucleon-nucleon (NN) interactions, wave functions of {sup 7}Be and {sup 8}B bound states are obtained in basis spaces up to 10 h bar{Omega} and used to calculate channel cluster form factors (overlap integrals) of the {sup 8}B ground state with {sup 7}Be+p. Due to the use of the harmonic oscillator (HO) basis, the overlap integrals have incorrect asymptotic properties. We fix this problem in two alternative ways. First, by a Woods-Saxon (WS) potential solution fit to the interior of the NCSM overlap integrals. Second, by a direct matching with the Whittaker function. The corrected overlap integrals are then used for the {sup 7}Be(p,{gamma}){sup 8}B S-factor calculation. We study the convergence of the S-factor with respect to the NCSM HO frequency and the model space size. Our S-factor results are in agreement with recent direct measurement data. We also test the spectroscopic factors and the corrected overlap integrals from the NCSM in describing the momentum distributions in knockout reactions with {sup 8}B projectiles. A good agreement with the available experimental data is also found, attesting the overall consistency of the calculations.
This experiment measures the production of direct real photons with large transverse momentum in pion-nucleon collisions at the SPS (H8 beam) using the NA3 spectrometer with an upgraded e-@g calorimeter. The experiment proceeds in steps of increasing complexity: \\item a) measurement of the direct @g cross-section in @p@+C @A @g + X and search for the annihilation process qq @A @gg by measuring the charge asymmetry at 200 GeV/c; \\item b) determination of the gluon structurefunction of the pion and the nucleon; \\item c) use of the @p|--@p|+ difference on carbon, if found experimentally, to extract the gluon fragmentation from the @g hadron correlations. \\end{enumerate}\\\\ \\\\ For comparison, the quark fragmentation functions can, in principle, be extracted from processes where the Compton scattering qg @A q@g dominates and compared with data from D.I.S. as a test of the method. \\\\ \\\\ The existing standard NA3 spectrometer is well suited for this type of physics. However,in order to improve the direct photon sele...
Nuclear structure of {sup 7}Be, {sup 8}B and {sup 7,8}Li is studied within the ab initio no-core shell model (NCSM). Starting from the high-precision CD-Bonn 2000 nucleon-nucleon (NN) interaction, wave functions of {sup 7}Be and {sup 8}B bound states are obtained in basis spaces up to 10{h_bar}{Omega} and used to calculate channel cluster form factors (overlap integrals) of the {sup 8}B ground state with {sup 7}Be+p. Due to the use of the harmonic oscillator (HO) basis, the overlap integrals have incorrect asymptotic properties. We fix this problem in two alternative ways. First, by a Woods-Saxon (WS) potential solution fit to the interior of the NCSM overlap integrals. Second, by a direct matching with the Whittaker function. The corrected overlap integrals are then used for the {sup 7}Be(p,{gamma}){sup 8}B S-factor calculation. We study the convergence of the S-factor with respect to the NCSM HO frequency and the model space size. Our S-factor results are in agreement with recent direct measurement data.
Universality of short range correlations has been investigated both in coordinate and in momentum space, by means of one-and two-body densities and momentum distributions. In this contribution we discuss one- and two-body momentum distributions across a wide range of nuclei and their common features which can be ascribed to the presence of short range correlations. Calculations for few-body nuclei, namely 3He and 4He, have been performed using exact wave functions obtained with Argonne nucleon-nucleon interactions, while the linked cluster expansion technique is used for medium-heavy nuclei. The center of mass motion of a nucleon-nucleon pair in the nucleus, embedded in the full two-body momentum distribution n_NN(krel,KCM), is shown to exhibit the universal behavior predicted by the two-nucleon correlation model, in which the nucleon-nucleon pair moves inside the nucleus as a deuteron in a mean-field. Moreover, the deuteron-like spin-isospin (ST)=(10) contribution to the pn two-body momentum distribution is ...
A simple model of a composite nucleon is developed in which a fermion and a boson, representing quark and diquark constituents of the nucleon, form a bound state owing to a contact interaction. Photon and pion couplings to the quark provide vertex functions for the photon and pion interactions with the composite nucleon. By a suitable choice of cutoff parameters of the model, realistic electromagnetic form factors are obtained. When a pseudoscalar pion-quark coupling is used, the pion-nucleon coupling is predominantly pseudovector. A virtual photopion amplitude is considered in which there are two types of contributions: hadronic contributions where the photon and pion interactions have an intervening propagator of the nucleon or its excited states, and contact-like contributions where the photon and pion interactions occur within a single vertex. At large Q, the contact-like contributions are dominant. The model nucleon exhibits scaling behavior in deep-inelastic scattering and the normalization of the parton distribution provides a rough normalization of the contact-like contributions. Calculations for the virtual photopion amplitude are performed using kinematics appropriate to its occurrence as a meson-exchange current in electron-deuteron scattering. The results show that the contact-like terms can dominate the meson-exchange current for Q > 1 GeV/c. There is a direct connection of the contact-like terms to the off-forward parton distributions of the model nucleon.
We consider the two-nucleon system at next-to-next-to-next-to-leading order (N^3LO) in chiral effective field theory. The two-nucleon potential at N^3LO consists of one-, two- and three-pion exchanges and a set of contact interactions with zero, two and four derivatives. In addition, one has to take into account various isospin-breaking and relativistic corrections. We employ spectral function regularization for the multi-pion exchanges. Within this framework, it is shown that the three-pion exchange contribution is negligibly small. The low-energy constants (LECs) related to pion-nucleon vertices are taken consistently from studies of pion-nucleon scattering in chiral perturbation theory. The total of 26 four-nucleon LECs has been determined by a combined fit to some np and pp phase shifts from the Nijmegen analysis together with the nn scattering length. The description of nucleon-nucleon scattering and the deuteron observables at N^3LO is improved compared to the one at NLO and NNLO. The theoretical uncert...
Jefferson Lab Experiment E04-001 used the Rosenbluth technique to measure R = sigmaL/sigmaT and F 2 on nuclear targets. This experiment was part of a multilab effort to investigate quark-hadron duality and the electromagnetic and weak structure of the nuclei in the nucleon resonance region. In addition to the studies of quark-hadron duality in electron scattering on nuclear targets, these data will be used as input form factors in future analysis of neutrino data which investigate quark-hadron duality of the nucleon and nuclear axial structurefunctions. An important goal of this experiment is to provide precise data which to allow a reduction in uncertainties in neutrino oscillation parameters for neutrino oscillation experiments (K2K, MINOS). This inclusive experiment was completed in July 2007 at Jefferson Lab where the Hall C High Momentum Spectrometer detected the scattered electron. Measurements were done in the nuclear resonance region (1 < W2 < 4 GeV2) spanning the four-momentum transfer range 0.5 < Q2 < 4.5 (GeV 2). Data was collected from four nuclear targets: C, Al, Fe and Cu.
Jefferson Lab Experiment E04-001 used the Rosenbluth technique to measure R=\\sigma_{L}/\\sigma_{T} and F_{2} on nuclear targets. This experiment was part of a multilab effort to investigate quark-hadron duality and the electromagnetic and weak structure of the nuclei in the nucleon resonance region. In addition to the studies of quark-hadron duality in electron scattering on nuclear targets, these data will be used as input form factors in future analysis of neutrino data which investigate quark-hadron duality of the nucleon and nuclear axial structurefunctions. An important goal of this experiment is to provide precise data which to allow a reduction in uncertainties in neutrino oscillation parameters for neutrino oscillation experiments (K2K, MINOS). This inclusive experiment was completed in July 2007 at Jefferson Lab where the Hall C High Momentum Spectrometer detected the scattered electron. Measurements were done in the nuclear resonance region (1 < W^{2} < 4 GeV^{2}) spanning the four-momentum tr...
The nuclear mean-field theory, with its various extensions, plays a major role in the description of nuclear structure and excitations, and has somewhat gained the status of ``Standard Model'' in nuclear structure. Until recently, its microscopic variant has relied essentially on a phenomenological nucleon-nucleon interaction. Although qualitatively very versatile, such nuclear mean-field approaches are often not as precise as Shell Model or Ab Initio techniques, and their connection with the underlying theory of nuclear forces is not very clear. Three recent evolutions are beginning to change this picture, and suggest that the spectroscopic-quality description of heavy nuclei could be possible in a not so distant future. Firstly, the remarkable achievements of the Density Functional Theory (DFT) in Quantum Chemistry have proved very fruitful for the development of its nuclear counterpart; simultaneously, major progress has been made in the construction of nuclear interactions based on chiral effective field theory; finally, the fast development of large-scale computing facilities across the world has allowed calculations that were unthinkable only a few years ago. This talk will begin by a brief overwiew of modern nuclear DFT, essentially from a practitioner's point of view. Some of the recent noticeable achievements in the field will then be reviewed. Finally, I will indicate some of the present avenues of research in nuclear DFT.
The Gaussian expansion method and its application to various three-, four-, and five-body problems are reviewed. As examples for the application, we review i) the application to three- and four-body 4He-atom clusters and ii) benchmark testing for four-nucleon bound states using realistic force and calculation of the second 0+ state of 4He, iii) the four-body calculation of 4l?H and 4?He taking ?N-?N coupling, and iv) the five-body calculation of a double ? hypernucleus, 11?Be. In addition, we discuss the understanding of the structure and the mechanisms of those systems together with some useful techniques for the calculations. We obtain the first numerically reliable solution to the binding energies and wave functions of the four-body system of 4He atoms interacting with an extremely strong short-range repulsion and a weak van der Waals attraction. By applying the method to the calculations of the four-nucleon bound state, we find that the drastic change in the spatial structure between the 0+1 to 0+2 states is well understood in terms of the GEM four-body calculation. The four-body calculations are performed for 4l?H and 4?He and the role of ?-? conversion in these hypernuclei is discussed. Energy levels of the double ? hypernucleus, 11??Be, are calculated within the framework of an ??n?? five-body model. The Hida event, recently observed in the KEK-E373 experiment, is interpreted as an observation of the ground state of 11??Be.
The work of the five staff members is presented individually in turn. (1) Nonperturbative aspects of quantum chromodynamics and its implication for phenomena involving nucleonstructure, nuclear structure, and relativistic heavy-ion collisions. (2) Symmetries and the connection of the quark-gluon description of nucleons and nuclei with the nucleon-meson degrees of freedom-parity nonconservation, time reversal invariance, chiral symmetry and charge symmetry, QCD sum rules. (3) The relation between nuclear physics and quantum chromodynamics-physics of color transparency, fundamental symmetries, physics of confinement and hadronic form factors, EMC effect. (4) Chirally invariant chromo-dielectric soliton model, many-nucleon system in models of QCD, flux tube dynamics, {anti p}-p to {anti {Lambda}}-{Lambda} and {anti {Lambda}}-{Sigma} collisions, isotopic effects in atomic parity nonconservation, quantum molecular dynamics. (5) Numerical work related to lattice QCD simulations, and analytical work related to model studies of hadronic phenomenology and the development and understanding of new methods.
The correlation effects in nuclei owing to which the nuclear wave functions are different from the Slater determinants are studied on the basis of the original theory. The calculated numbers of nucleons out of the nuclear Fermi-surface are in reasonable agreement with the finding from the high-momentum components of the nucleon momentum distributions in nuclei. The problems concerning the nuclear binding energy are also discussed.
We construct a BCS-like model that combines nucleonic pairing correlations and possible quartic correlations of alpha-type in a single variational wave function and derive corresponding gap equations. In the approximation of large logarithms typical for the BCS approach, we show that the system reveals two possible types of a condensate which cannot coexist. If the alpha-type condensate prevails at N=Z, the growth of the neutron excess will naturally lead to the first order phase transition to the nucleon condensates.
Velocity distributions and excitation functions of fusion-like evaporation residues (ER) were measured for 41-216 MeV ZF + UCa and 142-393 MeV TSS + SXAl. The ER cross sections for ZF + UCa exceed those of TSS + SXAl by up to 44%, mainly due to an earlier onset of incomplete fusion of about 3.7 MeV/nucleon above the interaction barrier in ZF + UCa, compared to 5.6-7.7 MeV/nucleon in TSS + SXAl. (orig.).
Abstract in english In our recent works we derived a chiral O(q4) two-pion exchange nucleon-nucleon potential (TPEP) formulated in a relativistic baryon (RB) framework, expressed in terms of the so called low energy constants (LECs) and functions representing covariant loop integrations. In order to facilitate the use of the potential in nuclear applications, we present a parametrized version of our configuration space TPEP.
We have measured the high mass (M > 4 GeV/c/sup 2/) dimuons produced in anti-proton-nucleon and pi minus-nucleon interactions. Preliminary differential cross sections are presented as a function of pair mass, x/suf F/, p/sub T/, and ..sqrt.. tau. Comparisons of these cross sections with the predictions of the Drell-Yan model are discussed and preliminary values for the K factor for the anti p and ..pi../sup -/ induced reactions are reported.
We examine the sensitivity of the deuteron Electric Dipole Moment (EDM) to variation in the nucleon-nucleon interaction. In particular, we write the EDM as a sum of two terms, one depends on the target wave function, the second on intermediate multiple scattering states in the {sup 3}P{sub 1} channel. This second contribution is sensitive to off-shell behavior of the {sup 3}P{sub 1} amplitude.
Assuming a schematic form of the nucleon effective mass as a function of nuclear excitation energy and mass, we provide a simple explanation for understanding the experimentally observed mass dependence of the nuclear caloric curve. It is observed that the excitation energy at which the caloric curve enters into a plateau region, could be sensitive to the nuclear mass evolution of the effective nucleon mass.
The ratio of pre-equilibrium neutrons to protons from collisions of neutron-rich nuclei is studied as a function of their kinetic energies. This ratio is found to be sensitive to the density dependence of the nuclear symmetry energy, but is independent of the compressibility of symmetric nuclear matter and the in-medium nucleon-nucleon cross sections. The experimental measurement of this ratio thus provides a novel means for determining the nuclear equation of state of asymmetric nuclear matter.
We present results obtained for nuclei, nuclear and neutron star matter, and neutron star structure obtained with the recent Argonne v{sub 18} two- nucleon and Urbana IX three-nucleon interactions including relativistic boost corrections. These interactions predict that matter will undergo a transition to a spin layered phase with neutral pion condensation. We also consider the possibility of a transition to quark matter. (orig.)
Breakup reactions of loosely-bound nuclei are often used to extract structure and/or astrophysical information. Here we compare three non-perturbative reaction theories often used when analyzing breakup experiments, namely the continuum discretized coupled channel model, the time-dependent approach relying on a semiclassical approximation, and the dynamical eikonal approximation. Our test case consists of the breakup of 15C on Pb at 68 MeV/nucleon and 20 MeV/nucleon.
Resonating group kernels for the nine-quark NNN system are used to show that the quark structure of nucleons leads to nonlocal three-body forces which are short ranged and attractive. They give a net contribution of 0.2 MeV to the three-nucleon binding energy, 0.9 MeV via quark-quark interaction terms whose effect is partially canceled by kinetic energy contributions to the exchange kernels.
Precision measurements of the structure of nucleons and nuclei in the regime of strong interaction QCD are now possible with the availability of high current polarized electron beams, polarized targets, and recoil polarimeters, in conjunction with modern spectrometers and detector instrumentation. The authors present some recent results from the Jefferson Lab on the charge and current distributions of nucleons and nuclei. They also review measurements which relate physics at small distances to the regime where strong interaction QCD is the relevant theory.
Modern nuclear thermochemistry is more than a collection of Q values of nuclear reactions or transformations and than a table of atomic masses, and nuclear binding energies of nucleons and dinucleons. It is indeed possible to calculate all the various neutron-proton interaction energies and pairing energies of the valence nucleons and dinucleons, and to give a complete description of the energetic structure of the nuclei in their ground state. Even the process of nuclear fission can receive a better description. (author)
Modern nuclear thermochemistry is more than a collection of Q values of nuclear reactions or transformations and than a table of atomic masses, and nuclear binding energies of nucleons and dinucleons. It is indeed possible to calculate all the various neutron-proton interaction energies and pairing energies of the valence nucleons and dinucleons, and to give a complete description of the energetic structure of the nuclei in their ground state. Even the process of nuclear fission can receive a better description. (author)
p p-bar annihilation into two mesons in nuclear matter is studied in the framework of a hadron-exchange model. The influence of the reduction of the nucleon mass in medium, predicted by relativistic models of nuclear structure, is analyzed. It is found that threshold effects can lead to strong suppression of the annihilation width, as the effective nucleon mass decreases from the free-space value. (author) 7 refs., 1 tab.
Participants in the Round Table Discussion at the International Conference on Band Structure and Nuclear Dynamics were to make editorial comments on what transpired during the conference. This paper contains comments of one panel member on questions which he feels were not addressed during the meeting. His comments concern the Coriolis force in rotating nuclei and its relation to the nucleon-nucleon interaction, the microscopic origin of rotational states, and the interacting boson model. (RWR)
This thesis describes a 29GeV electron - nucleon scattering experiment carried out at Stanford Linear Accelerator Center (SLAC). Highly polarized electrons are scattered off a polarized ND{sub 3} target. Scattered electrons are detected by two spectrometers located in End Station A (ESA) at angles of 4.5{degrees} and 7{degrees} with respect to the beam axis. We have measured the spin structurefunction g{sub 1} of deuteron over the range of 0.029 < x < 0.8 and 1. 0 < Q{sup 2} < 12.0(GeV/c){sup 2}. This integral indicates a discrepancy of more than three standard deviations from the prediction of the Ellis-Jaffe sum rule, 0.068{+-}0.005 at Q{sup 2} = 3.0(GeV/c){sup 2} while our result of g{sub 1}{sup d} in good agreement with SMC results. Combined with g{sub 1} of the proton, the measurement of {integral}{sub 0}{sup 1}(g{sub 1}{sup d}-g{sub 1}{sup n}) is 0.169{+-}0.008. We also obtained the strong coupling constant at Q{sup 2} = 3.0(GeV/c){sup 2} to be 0.417{sub -0.110}{sup +0.086}, using the power correction for the sum rule up to third order of {alpha}{sub s}. This result is in agreement with the strong coupling constant {alpha}{sub s}(Q{sup 2}) = 3.0(GeV/c{sup 2}) obtained from various experiments. Using our deuteron results and the axial vector couplings of hyperon decays, the total quark polarization along the nucleon spin is found to be 0.286{+-}.055, implying that quarks carry only 30% of the nucleon spin. The strange sea quark polarization is also determined to be -0.101 {+-} .023. These measurements are in agreement with other experiments and provide the world`s most precise measurement of these quark polarizations. 80 refs., 151 figs., 23 tabs.
Abstract in spanish La dispersión de electrones a altas transferencias de impulso es estudiada usando la distribución de momentos de un nucleón, mientras que los efectos de ligadura se introducen mediante la teoría de campo medio relativista. El modelo naturalmente conserva la corriente electromagnética, ya que el tensor respuesta para un nucleón fuera de la capa de masas mantiene la misma forma que la de un nucleón libre pero con una masa efectiva. Diferentes parametrizaciones de la (more) respuesta inelástica del nucleón son usadas. También analizamos la respuesta nuclear experimental en términos de la variable y de escaleamiento asociada al modelo. Los datos recientes del CEBAF para la sección eficaz inclusiva de electrones de 4.05 GeV sobre B6Fe, son bien reproducidos para todas las geometrías medidas. La función de escaleamiento teórica describe propiamente la tendencia de los datos experimentales, excepto a valores altos de Q² y valores negativos de y. Se proponen futuras mejoras al modelo. Abstract in english Electron scattering by nuclei at high momentum transfers is studied within the Fermi smearing approximation (FSA), where binding effects on the struck nucleon are introduced via the relativistic mean field theory (MFT). The model naturally preserves electromagnetic current conservation, since the response tensor for an off-shell nucleon conserves the same form that for a free one but with an effective mass. Different parameterizations for the inelastic nucleonstructure f (more) unction, are used. We also analyze the behavior of the experimental nuclear response in terms of the scaling variable y associated to the model. Recent CEBAF data for the inclusive cross section of 4.05 GeV electrons on 56Fe, are well reproduced for all measured geometries. The theoretical scaling function describes properly the trend of the experimental data, except at high values of Q² and large negative values of y. Future improvements to the model are proposed.
The Parton Distribution Functions (PDFs) and the spin structure of the nucleon are important topics studied by the COMPASS experiment. The Drell–Yan (DY) process will be used in the future COMPASS-II measurements to access the Transverse Momentum Dependent PDFs (TMD PDFs). Studying the angular distributions of dimuons from the DY reactions with a negative pion beam with 190 GeV/c momentum and a transversely polarised proton target, we will be able to extract the azimuthal spin asymmetries and to access the various TMD PDFs, such as Sivers and Boer–Mulders functions. The start of the COMPASS DY experiment is scheduled for 2014. Three beam tests have been already performed, one of them in 2009 using a prototype hadron absorber downstream of the target, to understand the background reduction factors and the spectrometer response, and also to verify our results from Monte Carlo simulations. COMPASS aims at performing the first DY experiment with a transversely polarised target.
Effective two nucleon, (NN), interactions in the nuclear medium have been defined from an accurate mapping of NN g matrices obtained by solving the Brueckner-Bethe-Goldstone (BBG) equations for infinite nuclear matter. Those effective interactions have been used in fully microscopic calculations of proton-light nuclei (nonlocal) effective interactions from which predictions of the elastic scattering differential cross sections and analysing powers have been obtained. Results for incident proton energies of 65 and 200 MeV are considered in particular herein. The associated relative motion wave functions have been used as the distorted waves in distorted wave approximation (DWA) studies of select inelastic and DWA (p,p) calculations has been found from full (0+2){Dirac_h}{omega} shell model evaluations of the nuclear structure; wave functions of which give good descriptions of from factors obtained from electron scattering. 12 refs., 7 figs.
The pionic strong decay amplitudes of baryon resonances are studied in a constituent quark model. Particular attention is given to the operator describing the transition. The nucleon form factors are calculated in a non-relativistic approach, with emphasis on the highest momentum transfers. The aim is to determine the ingredients that are essential in getting correct results and are likely to be required for a more realistic estimate in a fully relativistic approach. The deuteron form factors have been calculated in the light-front approach using wave functions determined in a perturbative way. The derivation of the neutron charge form factor from the deuteron structurefunction, A(q{sup 2}), is reanalyzed including further mesonic exchange contributions. (authors) 4 refs.
An introduction to the use of Bethe-Salpeter and quasipotential equations in the description of electron scattering from the deuteron is provided. The basic formalism and many technical issues are introduced in the context of a simple scalar theory. Results for bound-state wave functions and scattering phases shifts for a variety of quasipotential prescriptions are presented and qualitative characteristics of these solutions are discussed. The elastic form factors for the bound state in this model are calculated using the spectator or Gross equation. The calculations are then extended to account for the complexities associated with nucleon spin and results are presented for the elastic structurefunctions of the deuteron using the spectator equation. This calculation is shown to produce a good description of elastic electron scattering from the deuteron over the range of momentum transfers for which data are available.
Lattice calculations could boost our understanding of Deep Inelastic Scattering by evaluating moments of the NucleonStructureFunctions. To this end we study the product of electromagnetic currents between quark states. The Operator Product Expansion (OPE) decomposes it into matrix elements of local operators (depending on the quark momenta) and Wilson coefficients (as functions of the larger photon momenta). For consistency with the matrix elements, we evaluate a set of Wilson coefficients non-perturbatively, based on propagators for numerous momentum sources, on a 24{sup 3} x 48 lattice. The use of overlap quarks suppresses unwanted operator mixing and lattice artifacts. Results for the leading Wilson coefficients are extracted by means of Singular Value Decomposition. (orig.)
The binding energies and root mean square radii obtained from the Integro-Differential Equation Approach (IDEA) and from the Weight Function Approximation (WFA) of the IDEA for an even number of bosons and for {sup 12}C, {sup 16}O and {sup 40}Ca are compared to those recently obtained by the Variational Monte Carlo, Fermi Hypernetted Chain and Coupled Cluster expansion method with model potentials. The IDEA provides numbers very similar to those obtained by other methods although it takes only two-body correlations into account. The analytical expression of the wave function for the WFA is given for bosons in ground state when the interaction pair is outside the potential range. Due to its simple structure, the equations of the IDEA can easily be extended to realistic interaction for nuclei like it has already been done for the tri-nucleon and the {sup 4}He. (authors)
Nuclear parton distribution functions (NPDFs) are determined by a global analysis of experimental measurements on structure-function ratios F_2^A/F_2^{A'} and Drell-Yan cross section ratios \\sigma_{DY}^A/\\sigma_{DY}^{A'}, and their uncertainties are estimated by the Hessian method. The NPDFs are obtained in both leading order (LO) and next-to-leading order (NLO) of \\alpha_s. As a result, valence-quark distributions are relatively well determined, whereas antiquark distributions at x>0.2 and gluon distributions in the whole x region have large uncertainties. The NLO uncertainties are slightly smaller than the LO ones; however, such a NLO improvement is not as significant as the nucleonic case.
The quark-exchange formalism for nuclear systems is reformulated to treat the proton, neutron and up and down quarks explicitly and it is used to calculate the structurefunctions of A=3 mirror nuclei, i.e., 3He and 3H nuclei. The solution of Faddeev equations is used as the three nucleon system wave function and the initial valence quark input are taken from the GRV's (Glück, Reya and Vogt) next-to-leading order QCD calculations on F2p(x,Q) which give very good fits to the available data in the (x,Q)-plane. The momentum distributions of 3He, 3H and isoscalar A=3 systems as well as up and down quarks are discussed. It is shown that the quark-exchange has a sizable contribution to the structurefunctions of A=3 systems. So it is concluded that the nuclear structure effect is still important in 3He and 3H nuclei and the spectral functions based on the naive impulse approximation are not enough to extract the neutron structurefunction from these nuclei. These phenomena can be tested by the future deep inelastic electron experiments on 3He and 3H nuclei, especially those expected from the proposed 11 GeV Jefferson Laboratory.
Deep-inelastic scattering cross section ratios plotted as a function of the Bjorken scaling variable, xB, show an unexpected structure indicating that partonic structure in nuclei is different than in free nucleons. This phenomenon is commonly referred to as the EMC effect. Recent Jefferson Lab experimental data showed that the slope of the EMC effect in the 0.3 < xB > 0.7 region scales as the local nuclear density rather than the average nuclear density. This result lead to the comparison of xB>1 short-range correlation plateaus, also a local density effect, to the magnitude of the EMC effect slopes and a clear linear relation was found. In this talk, I will discuss the EMC effect and the short-range correlation plateaus and what this phenomenological relationship between the two implies.
The so called {open_quotes}EMC effect{close_quotes} discovered during the 1980`s, has caused a big controversy in the community of nuclear and high energy physicists; during the last ten years, five experiments have been performed in different laboratories and several hundreds of papers about the possible interpretation of the modification of the nucleonstructurefunction inside nuclei have been published. However, from the experimental point of view, the main goal of four experiments (EMC, BCDMS, NMC, FNAL) has been to emphasize the region of low x{sub b}, where shadowing effects appear. In the region of valence quarks and nuclear effects (x{sub b} > 0.1 - 0.2) the most reliable data presently available are from the SLAC E139 experiment performed in 1983 with only 80 hours of beam time. New precise data in the valence quark region are necessary to measure separate structurefunctions F{sub 2}(x{sub b}, Q{sup 2}) and R{sup lt}(x{sub b},Q{sup 2}) = {sigma}{sub l}/{sigma}{sub t}, and to investigate the real A-dependence of the ratio between bound and free-nucleonstructurefunctions which is not completely defined by the SLAC data. Moreover, from the nuclear physics point of view, a measurement on some unexplored nuclei, like {sup 3}He and {sup 48}Ca, would be of great interest. The intermediate scaling region (0.1 < x{sub b} < 0.7) would be accessible at CEBAF if the machine energy will reach 6-8 GeV, as suggested by all the tests performed on the RF cavities. This physics program has been already presented in two letter of intents.
A series of measurements have been performed at KVI to obtain the vector analyzing power A(y) of the (2)H(p-->,pd) reaction as a function of incident beam energy at energies of 120, 135, 150, and 170 MeV. For all these measurements, a range of theta(c.m.) from 30 degrees to 170 degrees has been covered. The purpose of these investigations is to observe possible spin-dependent effects beyond two-nucleon forces. When compared to the predictions of Faddeev calculations, based on two-nucleon forces only, significant deviations are observed at all energies and at center-of-mass angles between 70 degrees and 130 degrees. The addition of present-day three-nucleon forces does not improve the description of the data, demonstrating the still insufficient understanding of the properties of three-nucleon systems. PMID:11415380
In this paper, we put forward a way to study the nucleon's thermodynamic properties such as its temperature, entropy and so on, without inputting any free parameters by human hand, even the nucleon's mass and radius. First we use the Lagrangian density of the quark gluon coupling fields to deduce the Dirac Equation of the quarks confined in the gluon fields. By boundary conditions we solve the wave functions and energy eigenvalues of the quarks, and thus get energy-momentum tensor, nucleon mass, and density of states. Then we utilize a hybrid grand canonical ensemble, to generate the temperature and chemical potentials of quarks, antiquarks of three flovars by the four conservation laws of the energy and the valence quark numbers, after which, all other thermodynamic properties are known. The only seemed free paremeter, the nucleon radius is finally determined by the grand potential minimal principle.
Nucleons, i.e., protons and neutrons, are composed of quarks and gluons, whose interactions are described by the theory of quantum chromodynamics (QCD), part of the standard model of particle physics. This work applies lattice QCD to compute quark momentum distributions in the nucleon. The calculations make use of lattice data generated on supercomputers that has already been successfully employed in lattice studies of spatial quark distributions (''nucleon tomography''). In order to be able to analyze transverse momentum dependent parton distribution functions, this thesis explores a novel approach based on non-local operators. One interesting observation is that the transverse momentum dependent density of polarized quarks in a polarized nucleon is visibly deformed. A more elaborate operator geometry is required to enable a quantitative comparison to high energy scattering experiments. First steps in this direction are encouraging. (orig.)
With the aim at quantitatively investigating the longstanding problem concerning the effect of short range nucleon-nucleon correlations on scattering processes at high energies, the total neutron-nucleus cross section is calculated within a parameter-free approach which, for the first time, takes into account, simultaneously, central, spin, isospin and tensor nucleon-nucleon (NN) correlations, and Glauber elastic and Gribov inelastic shadowing corrections. Nuclei ranging from 4He to 208Pb and incident neutron momenta in the range 3 GeV/c - 300 GeV/c are considered; the commonly used approach which approximates the square of the nuclear wave function by a product of one-body densities is carefully analyzed, showing that NN correlations can play a non-negligible role in high energy scattering off nuclei.
Variational Monte Carlo and Green's function Monte Carlo are powerful tools for cal- culations of properties of light nuclei using realistic two-nucleon (NN) and three-nucleon (NNN) potentials. Recently the GFMC method has been extended to multiple states with the same quantum numbers. The combination of the Argonne v18 two-nucleon and Illinois-2 three-nucleon potentials gives a good prediction of many energies of nuclei up to 12 C. A number of other recent results are presented: comparison of binding energies with those obtained by the no-core shell model; the incompatibility of modern nuclear Hamiltonians with a bound tetra-neutron; difficulties in computing RMS radii of very weakly bound nuclei, such as 6He; center-of-mass effects on spectroscopic factors; and the possible use of an artificial external well in calculations of neutron-rich isotopes.
Semi-inclusive deep inelastic scattering off the Deuteron with production of a slow nucleon in recoil kinematics is studied in the virtual nucleon approximation, in which the final state interaction (FSI) is calculated within general eikonal approximation. The cross section is derived in a factorized approach, with a factor describing the virtual photon interaction with the off-shell nucleon and a distorted spectral function accounting for the final-state interactions. One of the main goals of the study is to understand how much the general features of the diffractive high energy soft rescattering accounts for the observed features of FSI in deep inelastic scattering(DIS). Comparison with the Jefferson Lab data shows good agreement in the covered range of kinematics. Most importantly, our calculation correctly reproduces the rise of the FSI in the forward direction of the slow nucleon production angle. By fitting our calculation to the data we extracted the $W$ and $Q^2$ dependences of the total cross section...
The diagonal coefficients of spin-transfer D ii in the small-angle inelastic scattering of polarized protons with the excitation of the two lowest 1+ levels in 12C are analyzed. The isoscalar (T = 0, E* = 12.71MeV) and isovector (T = 1, E* = 15.11 MeV) transitions are considered. The coefficients D ii are calculated within DWBA using different effective nucleon-nucleon (NN) interactions between an incident proton and the nucleons of the nucleus. We consider the Franey-Love interaction and the Geramb effective interactions based on the Paris NN potential, and also the effective NN potential based on the chiral perturbation theory, etc. The impact of the wave function antisymmetrization is studied from the coefficients D ii in a system that includes a projectile and nucleons of the nucleus, ...
Variational Monte Carlo and Green's function Monte Carlo are powerful tools for calculations of properties of light nuclei using realistic two-nucleon and three-nucleon potentials. Recently the GFMC method has been extended to multiple states with the same quantum numbers. The combination of the Argonne v_18 two-nucleon and Illinois-2 three-nucleon potentials gives a good prediction of many energies of nuclei up to 12C. A number of other recent results are presented: comparison of binding energies with those obtained by the no-core shell model; the incompatibility of modern nuclear Hamiltonians with a bound tetra-neutron; difficulties in computing RMS radii of very weakly bound nuclei, such as 6He; center-of-mass effects on spectroscopic factors; and the possible use of an artificial external well in calculations of neutron-rich isotopes.
The present theoretical understanding of the role of short-range correlations in nuclei near stability is reviewed. Two effects are identified in particular: first, the depletion of mean-field single-particle strength that is no longer available to participate in low-lying excitations. Second, the admixture of high-momentum nucleons in the ground state that is implied by the vanishing relative wave functions of pairs in the medium. The role of the tensor force will be further clarified by discussing isospin-polarized matter. It is demonstrated that the depletion of the proton and neutron Fermi seas depends strongly on the nuclear tensor force and appears to be determined by nucleon-nucleon scattering data. The increased role of short-range and tensor correlations for the minority species makes the case for further experimental scrutiny of nuclei with large neutron excess. Appropriate data of single- and two-nucleon knockout experiments are employed to illustrate the role of short-range and tensor correlations.
We present a new and efficient method to obtain a Gamow shell-model basis and matrix elements generated by realistic nucleon-nucleon interactions. We derive a self-consistent Hartree-Fock potential from the renormalized N3LO interaction model. The corresponding Gamow one-body eigenstates are generated in a plane wave basis in order to build a Gamow shell-model set of basis states for the closed shell nuclei 4He and 16O. We address also the problem of representing a realistic nucleon-nucleon interaction in a two-particle Berggren basis in the laboratory frame. To achieve this, an expansion of matrix elements of the residual nucleon-nucleon interaction in a finite set of harmonic oscillator wave functions is used. We show that all loosely bound and narrow resonant states converge surprisingly fast. Even broad resonances in these two-particle valence systems converge within a reasonable number of harmonic oscillator functions. Examples of 6He and 18O Gamow shell-model calculations using 4He and 16}O as closed sh...
The BCS-BEC crossover and phase diagram for asymmetric nuclear superfluid with pairings in isospin I = 0 and I = 1 channels are investigated at mean field level, by using a density dependent nucleon-nucleon potential. Induced by the in-medium nucleon mass and density dependent coupling constants, neutron-proton Cooper pairs could be in BEC state at sufficiently low density, but there is no chance for the BEC formation of neutron-neutron and proton-proton pairs at any density and asymmetry. We calculate the phase diagram in asymmetry-temperature plane for weakly interacting nuclear superfluid, and find that including the I = 1 channel changes significantly the phase structure at low temperature. There appears a new phase with both I = 0 and I = 1 pairings at low temperature and low asymmetry, and the gapless state in any phase with I = 1 pairing is washed out and all excited nucleons are fully gapped.
The photoproduction of mesons on the nucleon gives a direct access to its spectroscopy and is a promising way for the study of the structure of the nucleon. The GRAAL experiment uses a tagged and polarized photon beam produced through the Compton diffusion of laser photons on the electrons circulating in the ESRF storage ring. The combination of this photon beam and an efficient detection system has allowed a series of measurements concerning the photoproduction of light mesons on the proton and on the neutron. The first 4 chapters are dedicated to the nucleon spectroscopy: the nucleon models and their consequences on the excited levels are recalled, the experimental technique used is described and the difficulties due to the extraction of relevant data are presented. Highly accurate measurements of cross-sections, {sigma} asymmetry beams and resonance parameters have been performed. The last part is dedicated to the principle of the measurement of the electric dipole momentum of the neutron. (A.C.)
This paper covers the following topics: Experiment 87-02: Threshold Electrodisintegration of the Deuteron at High Q{sup 2}; Measurement of the 5th StructureFunction in Deuterium and {sup 12}C; Single-Particle Densities of sd-Shell Nuclei; Experiment 84-28: Transverse Form Factors of {sup 117}Sn; Experiment 82-11: Elastic Magnetic Electron Scattering from {sup 13}C; Experiment 89-09: Measurement of the Elastic Magnetic Form Factor of {sup 3}He at High Momentum Transfer; Experiment 89-15: Coincidence Measurement of the D(e,e{prime}p) Cross-Section at Low Excitation Energy and High Momentum Transfer; Experiment 87-09: Measurement of the Quadrupole Contribution to the N {yields} {Delta} Excitation; Experiment E-140: Measurement of the x-, Q{sup 2} and A-Dependence of R = {sigma}{sub L}/{sigma}{sub T}; PEP Beam-Gas Event Analysis: Physics with the SLAC TPC/2{gamma} Detector; Drift Chamber Tests at Brookhaven National Laboratory; Experiment PR-89-031: Multi-nucleon Knockout Using the CLAS Detector; Electronics Design for the CLAS Region 1 Drift Chamber; Color Transparencies in the Electroproduction of Nucleon Resonances; and Experiment PR-89-015: Study of Coincidence Reactions in the Dip and Delta-Resonance Regions.
This paper covers the following topics: Experiment 87-02: Threshold Electrodisintegration of the Deuteron at High Q{sup 2}; Measurement of the 5th StructureFunction in Deuterium and {sup 12}C; Single-Particle Densities of sd-Shell Nuclei; Experiment 84-28: Transverse Form Factors of {sup 117}Sn; Experiment 82-11: Elastic Magnetic Electron Scattering from {sup 13}C; Experiment 89-09: Measurement of the Elastic Magnetic Form Factor of {sup 3}He at High Momentum Transfer; Experiment 89-15: Coincidence Measurement of the D(e,e{prime}p) Cross-Section at Low Excitation Energy and High Momentum Transfer; Experiment 87-09: Measurement of the Quadrupole Contribution to the N {yields} {Delta} Excitation; Experiment E-140: Measurement of the x-, Q{sup 2} and A-Dependence of R = {sigma}{sub L}/{sigma}{sub T}; PEP Beam-Gas Event Analysis: Physics with the SLAC TPC/2{gamma} Detector; Drift Chamber Tests at Brookhaven National Laboratory; Experiment PR-89-031: Multi-nucleon Knockout Using the CLAS Detector; Electronics Design for the CLAS Region 1 Drift Chamber; Color Transparencies in the Electroproduction of Nucleon Resonances; and Experiment PR-89-015: Study of Coincidence Reactions in the Dip and Delta-Resonance Regions.
Nucleon properties are modified in the nuclear medium. To understand these modifications and their origin is a central issue in nuclear physics. For example, a wide variety of QCD-based models, including quark-meson coupling and chiral-quark soliton models, predict that the nuclear constituents change properties with increasing density. These changes are predicted to lead to observable changes in the nucleonstructurefunctions and electromagnetic form factors. We present results from a series of recent experiments at MAMI and Jefferson Lab, which measured the proton recoil polarization in the {sup 4}He({rvec e},e{prime}{rvec p}){sup 3}H reaction to test these predictions. These results, with the most precise data at Q{sup 2} = 0.8 (GeV/c){sup 2} and at 1.3 (GeV/c){sup 2} from E03-104, put strong constraints on available model calculations, such that below Q{sup 2} = 1.3 (GeV/c){sup 2} the measured ratios of polarization-transfer are successfully described in a fully relativistic calculation when including a medium modification of the proton form factors or, alternatively, by strong charge-exchange final-state interactions. We also discuss possible extensions of these studies with measurements of the {sup 4}He({rvec e},e{prime}{rvec p}){sup 3}H and {sup 2}H({rvec e},e{prime}{rvec p})n reactions as well as with the neutron knockout in {sup 4}He({rvec e},e{prime}{rvec n}){sup 3}He.
The QCD hardness scale for secondary particles (h) production in semi-inclusive deep inelastic scattering (DIS), ep-->e'Xh, gradually decreases from Q2, the photon virtuality which determines the hard scale in the virtual photon (current) fragmentation region to a soft, hadronic, scale in the proton fragmentation region. This suggests similarity of the inclusive spectra of leading protons and neutrons, h=p,n, in high energy hadron-proton and virtual photon-proton collisions. We explore this similarity extending to the DIS regime the nonperturbative peripheral mechanisms of inelastic scattering traditionally used in hadronic interactions to explain fast nucleons production. While the production of leading neutrons is known to be exhausted by DIS off charged pions, the production of leading protons by DIS off neutral pions must be supplemented by a substantial contribution from isoscalar reggeon (f0) exchange extrapolated down to moderate values of xL. We comment on the x and Q2 dependence of leading proton production as a probe of a universal pattern of the x,Q2 evolution of the nucleon and meson (reggeon) structurefunctions at small x.
The main objective of the COMPASS muon physics program is the study of the nucleon spin. COMPASS has accumulated data during 5 years using the CERN SPS 160 GeV polarized muon beam and a longitudinally or transversely polarized deuteron ($^{6}$LiD) or proton (NH$_{3}$) target. We present here results obtained on the gluon helicity from double spin asymmetries of cross-sections for two different channel, open charm production and high transverse momentum hadron pairs, both proceeding through the photon–gluon fusion process. Results show a gluon helicity compatible with zero in the measured range, $x$~0.1, constraining the total integral of $\\Delta G$ below ~0.3 in absolute value. The consequence for the total nucleon spin decomposition is shown. The longitudinal spin structurefunctions of the proton $g_{1^{p}}$ and of the deuteron $g_{1^{d}}$ were measured in parallel as well as the quark helicities for the various flavours. On the transversity side, the results obtained with a proton target for the Collins ...
The structure of the mirror nuclei ^9Be and ^9B is studied in a microscopic \\alpha+ \\alpha+ n and \\alpha+ \\alpha+ p three-cluster model using a fully antisymmetrized 9-nucleon wave function. The two-nucleon interaction includes central and spin-orbit components and the Coulomb potential. The ground state of ^9Be is obtained accurately with the stochastic variational method, while several particle-unbound states of both ^9Be and ^9B are investigated with the complex scaling method.The calculation for ^9Be supports the recent identification for the existence of two broad states around 6.5 MeV, and predicts the \\frac{3}{2}^{-}_2 and \\frac{5}{2}^{-}_2 states at about 4.5 MeV and 8 MeV, respectively. The similarity of the calculated spectra of ^9Be and ^9B enables one to identify unknown spins and parities of the ^9B states. Available data on electromagnetic moments and elastic electron scatterings are reproduced very well. The enhancement of the E1 transition of the first excited state in ^9Be is well accounted f...
Background: An asymptotic normalization coefficient (ANC) characterizes the asymptotic form of a one-nucleon overlap integral required for description of nucleon-removal reactions.Purpose: We investigate the impact of the particle continuum on proton and neutron ANCs for mirror systems from p- and sd-shell regions.Method: We use the real-energy and complex-energy continuum-shell-model approaches.Results: We studied the general structure of the single-particle ANCs as a function of the binding energy and orbital angular momentum. We computed ANCs in mirror nuclei for different physical situations, including capture reactions to weakly bound and unbound states.Conclusions: We demonstrated that the single-particle ANCs exhibit generic behavior that is different for charged and neutral particles. We verified the previously proposed relation between proton and neutron mirror ANCs. We find minor modifications if the spectroscopic strength is either localized in a single state or broadly distributed. For cases when several states couple strongly to the decay channel, these modifications may reach 30%.
Compton scattering from protons and neutrons provides important insight into the structure of the nucleon. For photon energies up to about 300 MeV, the process can be parameterised by six dynamical dipole polarisabilities which characterise the response of the nucleon to a monochromatic photon of fixed frequency and multipolarity. Their zero-energy limit yields the well-known static electric and magnetic dipole polarisabilities ? and ?, and the four dipole spin polarisabilities. The emergence of full lattice QCD results and new experiments at MAMI (Mainz), HI?S at TUNL, and MAX-Lab (Lund) makes this an opportune time to review nucleon Compton scattering. Chiral Effective Field Theory (?EFT) provides an ideal analysis tool, since it encodes the well-established low-energy dynamics of QCD while maintaining an appropriately flexible form for the Compton amplitudes of the nucleon. The same ?EFT also describes deuteron and 3He Compton scattering, using consistent nuclear currents, rescattering and wave functions, and respects the low-energy theorems for photon-nucleus scattering. It can thus also be used to extract useful information on the neutron amplitude from Compton scattering on light nuclei. We summarise past work in ?EFT on all of these reactions and compare with other theoretical approaches. We also discuss all proton experiments up to about 400 MeV, as well as the three modern elastic deuteron data sets, paying particular attention to the precision and accuracy of each set. Constraining the ?(1232) parameters from the resonance region, we then perform new fits to the proton data up to ?=170MeV, and a new fit to the deuteron data. After checking in each case that a two-parameter fit is compatible with the respective Baldin sum rules, we obtain, using the sum-rule constraints in a one-parameter fit, ?E1(p)=10.7±0.3(stat)±0.2(Baldin)±0.8(theory), ?M1(p)=3.1?0.3(stat)±0.2(Baldin)±0.8(theory), for the proton polarisabilities, and ?E1(s)=10.9±0.9(stat)±0.2(Baldin)±0.8(theory), ?M1(s)=3.6?0.9(stat)±0.2(Baldin)±0.8(theory), for the isoscalar polarisabilities, each in units of 10-4fm. Finally, we discuss plans for polarised Compton scattering on the proton, deuteron, 3He and heavier targets, their promise as tools to access spin polarisabilities, and other future avenues for theoretical and experimental investigation.
The Bonner Lab High Energy Group at Rice University has major hardware and software design and construction responsibilities in three of the flagship experiments of US High Energy Physics: D0, CMS, and KTeV. These commitments were undertaken after managing boards of the collaborations had evaluated the unique capabilities that Bonner Lab has to offer. Although fiscal constraints prohibited their participation in the final year of the SMC experiment (1996) on the spin dependent structurefunctions of nucleons, they played a major role there since it was proposed in 1988. The new results from the SMC data taken in previous years continue to generate a buzz of theoretical activity--and to increase understanding of the nucleonstructurefunctions and their behavior as a function of Q{sup 2} and x. They have also spawned large new experimental spin physics programs at HERA and at RHIC that ultimately will provide answers to these fundamental questions. This is a direct result of the unprecedented precision and kinematic range of the SMC results. Such precision would not have been possible without the improvement in the knowledge of the muon beam polarization using the Rice-designed beam polarimeter. In D0 Bonner Lab has been active in data taking, data analysis, upgrade design, and upgrade construction projects. In CMS they are responsible for the design and construction of the trigger electronics for one of the crucial subsystems: the end cap muon detectors. Other responsibilities are fully expected as the US commitment to LHC projects becomes clearer. The technical capabilities are well matched to the enormous challenges posed by the physics measurements being contemplated for the CMS detector. KTeV will be taking data shortly. Rice made major contributions to the construction and commissioning of this experiment. The long list of publications and presentations during the past five years attests to the fact that the group has been working hard and productively.
The energy density functional (EDF) formalism is the tool of choice for large-scale low-energy nuclear structure calculations both for stable experimentally known nuclei whose properties are accurately reproduced and systems that are only theoretically predicted. We highlight in the present dissertation the capability of EDF methods to tackle exotic phenomena appearing at the very limits of stability, that is the formation of nuclear halos. We devise a new quantitative and model-independent method that characterizes the existence and properties of halos in medium- to heavy-mass nuclei, and quantifies the impact of pairing correlations and the choice of the energy functional on the formation of such systems. These results are found to be limited by the predictive power of currently-used EDFs that rely on fitting to known experimental data. In the second part of this dissertation, we initiate the construction of non-empirical EDFs that make use of the new paradigm for vacuum nucleon-nucleon interactions set by so-called low-momentum interactions generated through the application of renormalization group techniques. These soft-core vacuum potentials are used as a step-stone of a long-term strategy which connects modern many-body techniques and EDF methods. We provide guidelines for designing several non-empirical models that include in-medium many-body effects at various levels of approximation, and can be handled in state-of-the art nuclear structure codes. In the present work, the first step is initiated through the adjustment of an operator representation of low-momentum vacuum interactions using a custom-designed parallel evolutionary algorithm. The first results highlight the possibility to grasp most of the relevant physics for low-energy nuclear structure using this numerically convenient Gaussian vertex. (author)
The extent to which information about fluctuations in hadron-nucleon total cross sections in the frozen approximation can be extracted from very high energy hadron-nucleus total cross section measurements for a range of heavy nuclei is discussed. The corrections to the predictions of Glauber theory due to these fluctuations are calculated for several models for the distribution functions, and differences of the order of 50 mb are found for heavy nuclei. The generating function for the moments of the hadron-nucleon cross section distributions can be approximately determined from the derivatives of the hadron-nucleus total cross sections with respect to the nuclear geometric cross section. The argument of the generating function, however, it limited to the maximum value of a dimensionless thickness function obtained at zero impact parameter for the heaviest nuclear targets: about 1.8 for pions and 3.0 for nucleons.
The recently developed Nambu-Jona-Lasinio (NJL) - Jet model is used as an effective chiral quark theory to calculate the quark fragmentation functions to pions, kaons, nucleons, and antinucleons. The effects of the vector mesons rho, K* and phi on the production of secondary pions and kaons are included. The fragmentation processes to nucleons and antinucleons are described by using the quark-diquark picture, which has been shown to give a reasonable description of quark distribution functions. We incorporate effects of next-to-leading order (NLO) in the Q^2 evolution, and compare our results with the empirical fragmentation functions.
The balance function is a new observable based on the principle that charge is locally conserved when particles are pair produced. Balance functions have been measured for charged particle pairs and identified charged pion pairs in Au+Au collisions at $\\sqrt{s_{NN}}$ = 130 GeV at the Relativistic Heavy Ion Collider using STAR. Balance functions for peripheral collisions have widths consistent with model predictions based on a superposition of nucleon-nucleon scattering. Widths in central collisions are smaller, consistent with trends predicted by models incorporating late hadronization.
The author discusses future directions in the development of classical hydrodynamics for extended nucleons, corresponding to nucleons of finite size interacting with massive meson fields. This new theory provides a natural covariant microscopic approach to relativistic nucleus-nucleus collisions that includes automatically spacetime nonlocality and retardation, nonequilibrium phenomena, interactions among all nucleons, and particle production. The present version of the theory includes only the neutral scalar ({sigma}) and neutral vector ({omega}) meson fields. In the future, additional isovector pseudoscalar ({pi}{sup +}, {pi}{sup {minus}}, {pi}{sup 0}), isovector vector ({rho}{sup +}, {rho}{sup {minus}}, {rho}{sup 0}), and neutral pseudoscalar ({eta}) meson fields should be incorporated. Quantum size effects should be included in the equations of motion by use of the spreading function of Moniz and Sharp, which generates an effective nucleon mass density smeared out over a Compton wavelength. However, unlike the situation in electrodynamics, the Compton wavelength of the nucleon is small compared to its radius, so that effects due to the intrinsic size of the nucleon dominate.
We evaluate the nucleon axial form factor, $G_A(q^2)$, and induced pseudoscalar form factor, $G_p(q^2)$, as well as the pion-nucleon form factor, $G_{\\pi N N}(q^2)$, in lattice QCD. We also evaluate the corresponding nucleon to $\\Delta$ transition form factors, $C_5^A(q^2)$ and $C_6^A(q^2)$, and the pion-nucleon-$\\Delta$ form factor $G_{\\pi N\\Delta}(q^2)$. The nucleon form factors are evaluated in the quenched theory and with two degenerate flavors of dynamical Wilson fermions. The nucleon to $\\Delta$ form factors, besides Wilson fermions, are evaluated using domain wall valence fermions with staggered sea quark configurations for pion masses as low as about 350 MeV. Using these form factors, together with an evaluation of the renormalized quark mass, we investigate the validity of the diagonal and non-diagonal Goldberger-Treiman relations. The ratios $G_{\\pi N\\Delta}(q^2)/G_{\\pi NN}(q^2)$ and $2C_5^A(q^2)/G_A(q^2)$ are constant as a function of the momentum transfer squared and show almost no dependence on t...
Recently there has been considerable interest in highly relativistic heavy-ion collisions which was suggested as a way to produce a phase transition from the ordinary confined matter to the unconfined quark-gluon plasma. As the fraction of baryons in the early universe was small, it seems desirable to design a heavy-ion collider such that when the energy density in the central rapidity is high enough for a phase transition, there is no net baryon density there. Recent investigations reveal that the average downward shift of the projectile baryon rapidity is quite large. The formation of a pure quark-gluon plasma depends on the shape of the baryon momentum distributions. It is of interest to estimate the baryon momentum distribution. We shall study the baryon distribution using the Glauber-type multiple collision model. In this model, a nucleon in one nucleus makes many inelastic collisions with nucleons in the other nucleus, the probability being given by the thickness function and the total nucleon-nucleon inelastic cross section. Each baryon-baryon collision results in a degradation of their energies and momenta in accordance with experimental nucleon-nucleon inelastic differential cross section data. This model is an extension of the model of Blankenbecler et al. to include the effect of energy degradation. We shall focus our attention on the longitudinal momentum distribution in terms of the Feynman scaling variable x.
We evaluate the nucleon axial form factor, G{sub A}(q{sup 2}), and induced pseudoscalar form factor, G{sub p}(q{sup 2}), as well as the pion-nucleon form factor, G{sub {pi}}{sub NN}(q{sup 2}), in lattice QCD. We also evaluate the corresponding nucleon to {delta} transition form factors, C{sub 5}{sup A}(q{sup 2}) and C{sub 6}{sup A}(q{sup 2}), and the pion-nucleon-{delta} form factor G{sub {pi}}{sub N{delta}}(q{sup 2}). The nucleon form factors are evaluated in the quenched theory and with two degenerate flavors of dynamical Wilson fermions. The nucleon to {delta} form factors, besides Wilson fermions, are evaluated using domain wall valence fermions with staggered sea quark configurations for pion masses as low as about 350 MeV. Using these form factors, together with an evaluation of the renormalized quark mass, we investigate the validity of the diagonal and nondiagonal Goldberger-Treiman relations. The ratios G{sub {pi}}{sub N{delta}}(q{sup 2})/G{sub {pi}}{sub NN}(q{sup 2}) and 2C{sub 5}{sup A}(q{sup 2})/G{sub A}(q{sup 2}) are constant as a function of the momentum transfer squared and show almost no dependence on the quark mass. We confirm equality of these two ratios consistent with the Goldberger-Treiman relations extracting a mean value of 1.61(2)
Properties of dense nucleon matter and the structure of neutron stars are studied using variational chain summation methods and the new Argonne v18 two-nucleon interaction. The neutron star gravitational mass limit obtained with this interaction is 1.67 M_{solar}. Boost corrections to the two-nucleon interaction, which give the leading relativistic effect of order (v/c)^2, as well as three-nucleon interactions, are also included in the nuclear Hamiltonian. Their successive addition increases the mass limit to 1.80 and 2.20 M_{solar}. Hamiltonians including a three-nucleon interaction predict a transition in neutron star matter to a phase with neutral pion condensation at a baryon number density of 0.2 fm^{-3}. We also investigate the possibility of dense nucleon matter having an admixture of quark matter, described using the bag model equation of state. Neutron stars of 1.4 M_{solar} do not appear to have quark matter admixtures in their cores. However, the heaviest stars are predicted to have cores consistin...
The modified quark-meson coupling model, which features a density dependent bag constant and bag radius in nuclear matter, is checked against the EMC effect within the framework of dynamical rescaling. Our emphasis is on the change in the average bag radius in nuclei, as evaluated in a local density approximation, and its implication for the rescaling parameter. We find that when the bag constant in nuclear matter is significantly reduced from its free-space value, the resulting rescaling parameter is in good agreement with that required to explain the observed depletion of the structurefunctions in the medium Bjorken $x$ region. Such a large reduction of the bag constant also implies large and canceling Lorentz scalar and vector potentials for the nucleon in nuclear matter which are comparable to those suggested by the relativistic nuclear phenomenology and finite-density QCD sum rules.
A degenerate neutron gas in equilibrium with a background of electrons and protons in a magnetic field exerts its pressure anisotropically, having a smaller value perpendicular than along the magnetic field. For critical fields the magnetic pressure may produce the vanishing of the equatorial pressure of the neutron gas, and the outcome could be a transverse collapse of the star. This fixes a limit to the fields to be observable in stable pulsars as a function of their density. The final structure left over after the implosion might be a mixed phase of nucleons and meson ($\\pi^{\\pm,0},\\kappa^{\\pm,0}$) condensate (a strange star also likely) or a black string, but no magnetar at all.
We discuss the Jefferson Lab low momentum transfer data on moments of the nucleon spin structurefunctions $g_1$ and $g_2$ and on single charged pion electroproduction off polarized proton and polarized neutron. A wealth of data is now available, while more is being analyzed or expected to be taken in the upcoming years. Given the low momentum transfer selected by the experiments, these data can be compared to calculations from Chiral Perturbation theory, the effective theory of strong force that should describe it at low momentum transfer. The data on various moments and the respective calculations do not consistently agree. In particular, experimental data for higher moments disagree with the calculations.The absence of contribution from the $\\Delta$ resonance in the various observables was expected to facilitate the calculations and hence make the theory predictions either more robust or valid over a larger $Q^2$ range. Such expectation is verified only for the Bjorken sum, but not for other observables in...
Deep-inelastic scattering cross section ratios plotted as a function of Bjorken x show that quark structure in nuclei is different than in free nucleons. Recent EMC type data from Jefferson Lab's Hall C show that the slope in the 0.3 < x < 0.7 region scales as the local nuclear density and not the average nuclear density. This result led to the comparison between x > 1 short-range correlation plateaus and the magnitude of the EMC effect slope. A clear linear relation between the two effects has now been shown. In this paper, the EMC effect, the short-range correlation plateaus and a possible reason for a relationship between the two is discussed.
Deep-inelastic scattering cross section ratios plotted as a function of Bjorken x show that quark structure in nuclei is different than in free nucleons. Recent EMC type data from Jefferson Lab's Hall C show that the slope in the 0.3 < x < 0.7 region scales as the local nuclear density and not the average nuclear density. This result led to the comparison between x > 1 short-range correlation plateaus and the magnitude of the EMC effect slope. A clear linear relation between the two effects has now been shown. In this paper, the EMC effect, the short-range correlation plateaus and a possible reason for a relationship between the two is discussed.
The magnitude of the EMC effect measured in electron deep inelastic scattering (DIS) is linearly related to the Short Range Correlation (SRC) scaling factor obtained from electron inclusive scattering. We speculate that the observed correlation is due to the fact that both the EMC effect and SRC are dominated by high momentum nucleons in the nucleus. The observed phenomenological relationship can be used to extract the ratio of the deuteron to the free pn-pair cross sections, the DIS cross section for a free neutron, F{sub 2}{sup n}/F{sub 2}{sup p}, the ratio of the free neutron to free proton structurefunctions, and the u/d ratio in a free proton.
The author analyses whether CEBAF with a 10 GeV beam could contribute significantly to the understanding of spin-dependent deep-inelastic scattering as well as semi-inclusive reactions. The main advantage of CEBAF is the much better attainable statistics, its great disadvantage its comparably low energy, which limits the accessible x-range to about 0.15 to 0.7. Within these constraints CEBAF could provide (1) high precision data which would be very valuable to understand the Q{sup 2} dependence of the spin-dependent structurefunctions g{sub 1}(x) and G{sub 2}(x) and (2) the by far most precise determination of the third moments of g{sub 1}(x) and g{sub 2}(x) the latter of which the author argues to be related to a fundamental property of the nucleon.
The potential of a HERA spin physics program at collider energies could be enhanced enormously by colliding a polarised electron beam with a polarised deuteron beam. By tagging the spectator nucleon it is possible to measure the proton and the neutron spin structurefunctions simultaneously. The results can be used to determine the Bjoerken sum rule and the strong coupling constant {alpha}{sub s} with small theoretical and instrumental uncertainties. From the accelerator point of view, the acceleration of polarised deuterons compared to protons has both, advantages and difficulties. Due to the small gyro-magnetic anomaly of the deuteron, the number of depolarising resonances is reduced significantly. On the other hand stronger magnetic fields are needed for spin rotators and Siberian snakes. (orig.)
We report the measurement of near threshold neutral pion electroproduction cross sections and the extraction of the associated structurefunctions on the proton in the kinematic range $Q^2$ from 2 to 4.5 GeV$^2$ and $W$ from 1.08 to 1.16 GeV. These measurements allow us to access the dominant pion-nucleon s-wave multipoles $E_{0+}$ and $S_{0+}$ in the near-threshold region. In the light-cone sum-rule framework (LCSR), these multipoles are related to the generalized form factors $G_1^{\\pi^0 p}(Q^2)$ and $G_2^{\\pi^0 p}(Q^2)$. The data are compared to these generalized form factors and the results for $G_1^{\\pi^0 p}(Q^2)$ are found to be in good agreement with the LCSR predictions, but the level of agreement with $G_2^{\\pi^0 p}(Q^2)$ is poor.
By providing an intense and clean source of antiprotons for the first time, LEAR has opened many fields of research. Although it is not easy to summarise its versatile physics programme in a few lines, this article is an attempt to do justice to the 27 experiments performed during 14 years of running and to their successful results. LEAR complex, September 1983. In the early days of LEAR operation, the antiproton intensity was quite limited and the machine was mostly used for studying antiprotonic atoms and interactions of low-energy antiprotons with nuclei. Physicists were also performing measurements of cross-sections (total, elastic, charge exchange) as a function of the antiproton momentum. These first experiments provided valuable insights into the properties of nucleon-antinucleon interactions, including their spin structure, and ruled out the existence of hypothesized multiquark states of matter referred to as “baryonium”. The ASTERIX experiment...
The single particle structure of $^{31}$Mg, which are located in the so-called “island of inversion”, will be studied through measuring Isobaric Analog Resonances (IARs) of bound states of $^{31}$Mg. They are located in the high excitation energy of $^{31}$Al. We are going to determine the spectroscopic factors and angular momenta of the parent states by measuring the excitation function of the proton resonance elastic scattering around 0 degrees in the laboratory frame with around 3 MeV/nucleon $^{30}$Mg beam. The present study will reveal the shell evolution around $^{32}$Mg. In addition, the spectroscopic factor of the 7/2$^{?}$ state which were not yet determined experimentally, has possibility to discuss the shape coexistence in this nucleus.
The existence of -mesic nuclei in which the meson is bound with nucleus by means of the strong interaction was postulated already in 1986, however till now no experiment confirmed it empirically. Discovering of this new kind of an exotic nuclear matter would be very important as it might allow for better understanding of the meson structure and its interaction with nucleons. The search for -mesic helium (^4He-) is carried out with high statistic and high acceptance by means of the WASA detector, installed at the cooler synchrotron COSY in the Research Center Julich. The search is conducted via the measurement of the excitation function for the chosen decay channels of the ^4He- system. In the experiment performed in November 2010 two reactions dd->(^4He -)bs->^3Hepp^- and dd->(^4He -)bs->^...
In accordance with the nucleus-nuclei interactions HIJING model, the influence of the parton screening on global observable distributions (total transverse energy E sub T and charged multiplicity n sub c sub h) is studied. It is found that in case of interaction of lead nuclei at sq root s = 5 TeV/nucleon the screening effect results in an essential decrease of minijet production (approximately by a factor of 4) that, in turn, decreases the total transverse energy and charge multiplicity by a factor of 2.7. Due to QCD-evolution of the nuclear structurefunction, the screening effect weakens (by factor of 1.9). It is shown that global observables can be used to check parton shadowing models
We discuss the single transverse-spin asymmetry (SSA) to be observed in the $D$-meson production with large transverse-momentum in semi-inclusive deep inelastic scattering, $e p^\\uparrow \\rightarrow e D X$. This contribution is embodied as a twist-3 mechanism in the collinear factorization, which is induced by purely gluonic correlation inside the transversely-polarized nucleon, in particular, by the three-gluon correlation effects. The complete formula for the corresponding SSA in the leading-order QCD is expressed in terms of the four independent gluonic correlation functions and reveals the five independent structures with respect to the dependence on the azimuthal angle for the produced $D$-meson. We present the numerical calculations of the SSA formula at the kinematics relevant to a future Electron Ion Collider.
Using realistic wave functions, the proton-neutron and proton-proton momentum distributions in $^3He$ and $^4He$ are calculated as a function of the relative, $k_{rel}$, and center of mass, $K_{CM}$, momenta, and the angle between them. For large values of ${k}_{rel}\\gtrsim 2\\,\\,fm^{-1}$ and small values of ${K}_{CM} \\lesssim 1.0\\,\\,fm^{-1}$, both distributions are angle independent and decrease with increasing $K_{CM}$, with the $pn$ distribution factorizing into the deuteron momentum distribution times a rapidly decreasing function of $K_{CM}$, in agreement with the two-nucleon (2N) short range correlation (SRC) picture. When $K_{CM}$ and $k_{rel}$ are both large, the distributions exhibit a strong angle dependence, which is evidence of three-nucleon (3N) SRC. The predicted center-of-mass and angular dependence of 2N and 3N SRC should be observable in two-nucleon knock-out processes $A(e,e'pN)X$.
The generalized Dirac equation with anomalous nucleon dipole moments (Dirac-Paul equation) is considered. A transition from the Dirac wave function to Schroedinger wave function is made. In the Hamiltonian H the members with order higher than P/sup 2/ are ignored. The full form of the equivalent Schroedinger np-potential with E'=0 for parallel and opposite spins is graphically presented.
The electromagnetic form factors of strange mesons and baryons are studied by means of kaon electroproduction on the nucleon. The response functions that are sensitive to the K0, Lambda, Sigma, and KK*\\gamma transition form factors are systematically explored. The effects of these form factors on several response functions are discussed.
Two-proton correlation functions measured in central Ar+Sc collisions at E/A=80, 120, and 160 MeV are used to test space-time geometry predicted by transport theories of nuclear reactions. Two-proton emitting sources are extracted by means of a detailed imaging technique and compared to predictions of BUU microscopic model. The shape of the emitting sources show a strong sensitivity to the details of the nucleon-nucleon collision cross section used in the BUU simulations. The density dependence of such sensitivity is also discussed. The performed shape analysis of two-proton correlation functions is shown to provide important probes of transport theories of heavy-ion collisions at intermediate energies.
We discuss the applications of the Laplace transform sum rules to the three-point functions involving two baryons and one meson. Evaluating the QCD part of these three-point functions in the symmetrical subtraction configuration, where all external masses are equal and much larger than ..lambda..sub(QCD), we obtain relations between the pseudoscalar meson-nucleon couplings (gsub(..pi..)N anti N, gsub(eta)N anti N), the vector meson-nucleon tensor couplings (Gsup(T)sub(pNanti) sub(N)) to quark masses and quark vacuum condensates.
Green's function Monte Carlo calculations of magnetic dipole, electric quadrupole, Fermi, and Gamow-Teller transition matrix elements are reported for A=6,7 nuclei. The matrix elements are extrapolated from mixed estimates that bracket the relevant electroweak operator between variational Monte Carlo and GFMC propagated wave functions. Because they are off-diagonal terms, two mixed estimates are required for each transition, with a VMC initial (final) state paired with a GFMC final (initial) state. The realistic Argonne v18 two-nucleon and Illinois-2 three-nucleon interactions are used to generate the nuclear states. In most cases we find good agreement with experimental data.
Green's function Monte Carlo calculations of magnetic moments and M1 transitions including two-body meson-exchange current (MEC) contributions are reported for A<=7 nuclei. The realistic Argonne v18 two-nucleon and Illinois-2 three-nucleon potentials are used to generate the nuclear wave functions. The two-body meson-exchange operators are constructed to satisfy the continuity equation with the Argonne v18 potential. The MEC contributions increase the A=3,7 isovector magnetic moments by 16% and the A=6,7 M1 transition rates by 17--34%, bringing them into very good agreement with the experimental data.
The first moment of longitudinal and transverse spin densities of quarks in the nucleon are calculated in a light-front constituent quark model for the different cases of quark and nucleon polarization. Significant distortions are found for the transverse spin densities. In particular the Sivers function is predicted with opposite sign for up and down quarks and the Boer-Mulders function is predicted large and negative for both up and down quarks, in agreement with lattice calculations. Quite a different spin distribution is obtained for up and down quarks in the cases of quarks and proton transversely or longitudinally polarized in the same direction.
Precise measurements of the electric form factor of the neutron, Gn E, over a wide range of the square of the four-momentum transfer, Q2, are important for understanding nucleon and nuclear electromagnetic structure. In the non-relativistic limit, the electric and magnetic form factors are related to the charge and magnetization distribution inside a nucleon, respectively. The measured values of the form factors also serve as an important test for nucleon models. Among the four nucleon form factors, the electric form factor of the neutron, Gn E, is the most difficult one to measure and therefore has been very poorly known especially in the region Q2 > 1 (GeV/c)2 due to the lack of a free neutron target and the small value of Gn E. The Jefferson Laboratory E93-038 collaboration measured the ratio of the electric to magnetic form factor of the neutron, g = Gn E/Gn M, at three acceptance-averaged Q2 values of 0.45, 1.13 and 1.45 (GeV/c)2 using the quasi-elastic 2H({approx}e, e0{approx}n)1H reaction. In our experiment, an electron was scattered quasielastically from a neutron in a liquid-deuterium target, and the electron was detected in an electron spectrometer in coincidence with the neutron which was detected in a neutron polarimeter. The polarimeter was used to analyze the polarization of the recoil neutrons by measuring the np elastic scattering asymmetry. The experiment was performed in Hall-C at Thomas Jefferson National Accelerator Facility during the period from September 2000 to April 2001. The value of g was determined from the measured ratio of the sideways and longitudinal components of the neutron polarization vector. The values for Gn E were computed from our measured values of g = Gn E/Gn M using the Gn M values obtained from a fit to the world data. The E93-038 collaboration reported the first measurements of Gn E using polarization techniques at Q2 greater than 1 (GeV/c)2. Furthermore, our measurements of Gn E at the two higher Q2 values of 1.13 and 1.45 (GeV/c)2 are more precise than prior measurements at lower Q2. In this dissertation, the data analyses and our results for g and Gn E at Q2=0.45 (GeV/c)2 and Q2=1.13 (GeV/c)2 are given. Our high-accuracy data are included with the ?world? data for Gn E to form an improved data set that was fit with an empirical function to give a simple parameterization of Gn E as a function of Q2. In addition, the data for the ratio Gn E/Gn M are compared to theoretical models of the nucleon. We found that no theoretical model predicts both proton and neutron form factor data.
The experiment will study deep inelastic muon nucleon scattering in a wide range of Q|2~(1-200 (GeV/c)|2) and x~(0.005-0.75). The main aims of the experiment are: \\item a)~~~~Detailed measurements of the nuclear dependence of the structurefunction F^2|A, of R~=~@s^L/@s^T and of the cross-section for J/@y production. They will provide a basis for the understanding of the EMC effect: the modification of quark and gluon distributions due to the nuclear environment. \\item b)~~~~A simultaneous high luminosity measurement of the structurefunction F^2 on hydrogen and deuterium. This will provide substantially improved accuracy in the knowledge of the neutron structurefunction F^2|n, of F^2|p-F^2|n and F^2|n/F^2|p and their Q|2 dependence. Furthermore, the data will allow a determination of the strong coupling constant @a^s(Q|2) with reduced experimental and theoretical uncertainties as well as of the ratio of the down to up quark distributions in the valence region. Due to the large x range covered by the experim...
Major trends of the physics program related to the study of hadron structure and hadron spectroscopy at the new high current, high duty cycle electron machines are discussed. It is concluded that planned experiments at these machines may have important impact on our understanding of the strong interaction by studying the internal structure and spectroscopy of the nucleon and lower mass hyperon states.
Protons and neutrons have a rich structure in terms of their constituents, the quarks and gluons. Understanding this structure requires solving Quantum Chromodynamics (QCD). However QCD is extremely complicated, so we must numerically solve the equations of QCD using a method known as lattice QCD. Here we describe a typical lattice QCD calculation by examining our recent computation of the nucleon axial charge.
Protons and neutrons have a rich structure in terms of their constituents, the quarks and gluons. Understanding this structure requires solving Quantum Chromodynamics (QCD). However QCD is extremely complicated, so we must numerically solve the equations of QCD using a method known as lattice QCD. Here we describe a typical lattice QCD calculation by examining our recent computation of the nucleon axial charge. (orig.)
Background: Thick-target-induced nucleon-adding transfer reactions onto energetic rare-isotope beams are an emerging spectroscopic tool. Their sensitivity to single-particle structure complements one-nucleon removal reaction capabilities in the quest to reveal the evolution of nuclear shell structure in very exotic nuclei. Purpose: To add intermediate-energy, carbon-target-induced one-proton pickup reactions to the arsenal of $\\gamma$-ray tagged direct reactions applicable in the regime of low beam intensities and to apply these for the first time to $fp$-shell nuclei. Methods: Inclusive and partial cross sections were measured for the $\
Double charge exchange (DCX) is sensitive to detailed nuclear structure information such as nucleon-nucleon correlations, pairing effects, and shell structure. Angular distributions of DCX pions on nuclei to well defined final states are planned for the forthcoming operation of the Omicron spectrometer at CERN. The authors investigate whether these experiments DCX could be useful for studying the pionic degrees of freedom in nuclei by considering the effects of pion condensation in heavy nuclei. An order of magnitude estimate for DCX is obtained by comparing a Monte Carlo cascade calculation with the prediction of an oversimplified model describing the scattering of an incident pion of the condensed pion target. (21 refs).
The study of the transverse-spin and transverse-momentum structure of the nucleon is part of the scientific program of COMPASS, a fixed-target experiment at the CERN SPS. By studying the distributions of the hadrons produced in SIDIS off unpolarized targets one can have insights on the structure of the nucleon and on the possible correlations between transverse spin and intrinsic transverse momentum of the quarks. In this presentation the new results for the azimuthal asymmetries and for the hadron multiplicities are presented. They are obtained from the COMPASS data collected with a 160GeV$/c$ positive muon beam impinging on a $^{6}$LiD target.
The torch in nucleon-nucleon scattering has been passed to experimental and theoretical studies of pion production. Comparing two unitary models shows that most of the structures predicted for spin observables in NN ..-->.. NN..pi.. are model independent and roughly in agreement with the data. The contribution of rho- exchange is small, indicating the reaction is largely ''peripheral''. The energy dependence of these isobar models is smooth. The largely unstudied reactions producing neutral and negatively-charged pions show richer structure than positively-charged pion production. 6 refs.
Coincidence scattering of polarized electrons from nuclei with polarization transfer to outgoing nucleons is studied within the context of relativistic mean field theory. Effects introduced by the dynamical enhancement of the lower components of the bound nucleon wave function are analyzed for the polarized response functions and transferred polarization asymmetries assuming the relativistic plane-wave impulse approximation (RPWIA). Results obtained by projecting out the negative-energy components are compared with the fully relativistic calculation for proton knockout from p sub 1 sub / sub 2 and p sub 3 sub / sub 2 shells in sup 1 sup 6 O for a variety of kinematic situations. The crucial role played by the relativistic dynamics in some spin-dependent observables is clearly manifested even for low/medium values of the missing momentum. The degree to which knowledge about nucleon form factors can be extracted from analyses of this type of process is also discussed.
We present a parametrization of the observed enhancement in the transverse electron quasielastic (QE) response function for nucleons bound in carbon as a function of the square of the four momentum transfer (Q2) in terms of a correction to the magnetic form factors of bound nucleons. The parametrization should also be applicable to the transverse cross section in neutrino scattering. If the transverse enhancement originates from meson exchange currents (MEC), then it is theoretically expected that any enhancement in the longitudinal or axial contributions is small. We present the predictions of the "Transverse Enhancement" model (which is based on electron scattering data only) for the neutrino and anti-neutrino differential and total QE cross sections for nucleons bound in carbon. The 2Q2 dependence of the transverse enhancement is observed to resolve much of the long standing discrepancy ("Axial Mass Anomaly}) in the QE total cross sections and differential distributions between low energy and high energy n...
The relativistic distorted-wave impulse approximation is used to describe the 3He(e, e? p)2H process. We describe the 3He nucleus within the adiabatic hyperspherical expansion method with realistic nucleon-nucleon interactions. The overlap between the 3He and the deuteron wave functions can be accurately computed from a three-body calculation. The nucleons are described by solutions of the Dirac equation with scalar and vector (S?V) potentials. The wave function of the outgoing proton is obtained by solving the Dirac equation with a S?V optical potential fitted to elastic proton scattering data on the residual nucleus. Within this theoretical framework, we compute the cross section of the reaction and other observables like the transverse-longitudinal asymmetry, and compare them with the a...
The Relativistic Distorted-Wave Impulse Approximation is used to describe the $^3$He($e,e^\\prime p$)$^2$H process. We describe the $^3$He nucleus within the adiabatic hyperspherical expansion method with realistic nucleon-nucleon interactions. The overlap between the $^3$He and the deuteron wave functions can be accurately computed from a three-body calculation. The nucleons are described by solutions of the Dirac equation with scalar and vector (S-V) potentials. The wave function of the outgoing proton is obtained by solving the Dirac equation with a S-V optical potential fitted to elastic proton scattering data on the residual nucleus. Within this theoretical framework, we compute the cross section of the reaction and other observables like the transverse-longitudinal asymmetry, and compare them with the available experimental data measured at JLab.
We calculate the nucleon strange quark content directly from disconnected three-point functions. Numerical simulations are carried out in two-flavor QCD using the overlap quark action with up and down quark masses down to a fifth of the physical strange quark mass. To improve the statistical accuracy, we calculate the nucleon two-point functions with the low-mode averaging technique, whereas the all-to-all quark propagator is used for the disconnected quark loop. We obtain the y parameter, which is the ratio of the strange and light quark contents, y = 0.024(45) at the physical point. This is in a good agreement with our earlier calculation from the nucleon spectrum through the Feynman-Hellmann theorem.
We present calculations of asymptotic normalization coefficients (ANCs) for one-nucleon removal from nuclear states of mass numbers 3 to 9. Our ANCs were computed from variational Monte Carlo solutions to the many-body Schroedinger equation with the combined Argonne v18 two-nucleon and Urbana IX three-nucleon potential. Instead of computing explicit overlap integrals, we applied a Green's function method that is insensitive to difficulties of constructing and Monte Carlo sampling the long-range tails of the variational wave functions. This method also allows computation of the ANC at the physical separation energy even when it differs from the separation energy for the potential. We compare our results, which for most nuclei are the first ab initio calculations of ANCs, with existing experimental and theoretical results and discuss further possible applications of the technique.
Deuteron coalescence, during relativistic nucleus-nucleus collisions is carried out in a model incorporating a minimal quantal treatment of the formation of the cluster from its individual nucleons by evaluating the overlap of intial cascading nucleon wave packets with the final deuteron wave function. In one approach the nucleon and deuteron center of mass wave packet sizes are estimated dynamically for each coalescing pair using its past light-cone history in the underlying cascade, a procedure which yields a parameter free determination of the cluster yield. A modified version employing a global estimate of the deuteron formation probability, is identical to a general implementation of the Wigner function formalism but can differ from the most frequent realisation of the latter. Comparison is made both with the extensive existing E802 data for Si+Au at 14.6 GeV/c and with the Wigner formalism. A globally consistent picture of the Si+Au measurements is achieved. In light of the deuteron's evident fragility,...
The Semi-Inclusive Deep Inelastic Scattering (SIDIS) cross section, that describes the scattering of a charged lepton (+) o a nucleon (proton) transversely polarised with respect to its momentum, and with the detection of a hadron in the nal state ( l p" ! l0 h X), has 8 independent azimuthal modulations, that depends on the spin of the target nucleon and on the lepton momentum. Among these modulations, the most famous are due to the Collins and Sivers eects. The Collins eect is the asymmetric fragmentation of a polarised quark into a hadron, and the amplitude of the modulation is proportional to the Collins fragmentation function with the transversity parton distribution function, that gives the probability dierence to nd a quark with the polarisation parallel or anti-parallel to the nucleon spin in a transversely polarised nucleon. The Sivers eect is due to the coupling of the quark transverse momentum and the spin in a transversely polarised nucleon. The other six modulations are due to other correlations ...
The RBC and UKQCD collaborations have been investigating hadron physics in numerical lattice quantum chromodynamics (QCD) with (2+1) flavors of dynamical domain wall fermions (DWF) quarks that preserves continuum-like chiral and flavor symmetries. The strange quark mass is adjusted to physical value via reweighting and degenerate up and down quark masses are set as light as possible. In a recent study of nucleonstructure we found a strong dependence on pion mass and lattice spatial extent in isovector axialvector-current form factors. This is likely the first credible evidence for the pion cloud surrounding nucleon. Here we report the status of nucleonstructure calculations with a new (2+1)-flavor dynamical DWF ensembles with much lighter pion mass of 180 and 250 MeV and a much larger lattice spatial exent of 4.6 fm. A combination of the Iwasaki and dislocation-suppressing-determinant-ratio (I+DSDR) gauge action and DWF fermion action allows us to generate these ensembles at cutoff of about 1.4 GeV while keeping the residual breaking of chiral symmetry sufficiently small. Nucleon source Gaussian smearing has been optimized. Preliminary nucleon mass estimates are 0.98 and 1.05 GeV.
The structure of the proton and the neutron is of fundamental importance for the study of the strong interaction dynamics over a wide range of momentum transfers. The nucleon form factors encode information on the internal structure of the nucleon as probed by the electromagnetic interaction, and, to a certain extent, reflect the charge and magnetisation distributions within the proton and the neutron. In this thesis we report on our investigation of the electromagnetic form factors of the proton and the neutron with dispersion relation techniques, including known experimental input on the {pi}{pi}, K anti K and the {rho}{pi} continua and perturbative QCD constraints. We include new experimental data on the pion form factor and the nucleon form factors in our simultaneous analysis of all four form factors in both the space- and the timelike regions for all momentum transfers, and perform Monte- Carlo sampling in order to obtain theoretical uncertainty bands. Finally, we discuss the implications of our results on the pion cloud of the nucleon, the nucleon radii and the Okubo-Zweig-Iizuka rule, and present our results of a model-independent approach to estimating two-photon effects in elastic electron-proton scattering. (orig.)
Deeply virtual exclusive reactions offer a unique opportunity to study the structure of the nucleon at the parton level as one has access to Bjorken Formula Not Shown and momentum transfer to the nucleon t at the same time. Such processes can reveal much more information about the structure of the nucleon than either inclusive electroproduction or elastic form factors alone. Dedicated experiments to study Deeply Virtual Compton Scattering (DVCS) and Deeply Virtual Meson Production (DVMP) have been carried out in Hall B at Jefferson Lab. DVCS helicity???dependent and helicity???independent cross sections and beam spin asymmetries have been measured with CLAS, as well as cross sections and asymmetries for the Formula Not Shown , ?, Formula Not Shown , Formula Not Shown , ?? and ?? for exclu...
Deep-inelastic lepton scattering from nuclei provides a direct look at the quark structure of nuclear matter. These reactions revealed the first convincing evidence that the structure of nucleons is modified in the nuclear medium and had profound implications on the understanding of nuclear dynamics. FNAL experiment E665, using the 490-GeV muon beams at Fermi National Accelerator Laboratory, provides new information on the nuclear effects on nucleon properties by studying deep-inelastic muon scattering with coincident hadron detection. The high beam energy makes the experiment particularly suited to the study of the region of x < 0.1 (where x is the fraction of the momentum of the nucleon carried by the struck quark in the infinite momentum frame), and total center-of-mass hadronic energy > 25 GeV, where hard QCD processes are expected to become evident and there are little data from other deep-inelastic measurements.
We present the first study to examine the validity of the relativistic impulse approximation (RIA) for describing elastic proton-nucleus scattering at incident laboratory kinetic energies lower than 200 MeV. For simplicity we choose a $^{208}$Pb target, which is a spin-saturated spherical nucleus for which reliable nuclear structure models exist. Microscopic scalar and vector optical potentials are generated by folding invariant scalar and vector scattering nucleon-nucleon (NN) amplitudes, based on our recently developed relativistic meson-exchange model, with Lorentz scalar and vector densities resulting from the accurately calibrated PK1 relativistic mean field model of nuclear structure. It is seen that phenomenological Pauli blocking (PB) effects and density-dependent corrections to $\\sigma$N and $\\omega$N meson-nucleon coupling constants modify the RIA microscopic scalar and vector optical potentials so as to provide a consistent and quantitative description of all elastic scattering observables, namely ...
p{Lambda} emission in coincidence following K{sup -} absorption at rest in nuclei is studied using quantum-mechanical scattering theory and nuclear wave functions. K{sup -} absorption is assumed to occur on two protons in the nucleus. In the formalism, emphasis is put on the study of the final state interaction (FSI) effects of p and {Lambda} with the recoiling nucleus. We include elastic scattering and single-nucleon knock-out (KO) channels in the FSI. Calculations are presented for the {sup 12}C nucleus, using shell-model wave functions, and without any extra mass modification of the K{sup -}pp system in the nucleus. Calculated results are presented for the angular correlation distribution between p and {Lambda}, their invariant mass distribution, and the momentum spectra of p and {Lambda}. These results are compared with the corresponding experimental measurements of M. Agnello et al., [Phys. Rev. Lett. 94, 212303 (2005)]. With only elastic scattering FSI included, the angular correlation distribution and the momentum spectra are found to be in good accord with the corresponding measurements. With full FSI, the calculated p{Lambda} invariant mass distribution is found to have two peaks, one corresponding to the elastic scattering FSI and another to single-nucleon KO FSI. The KO peak agrees fully, in position and shape, with the peak observed by M. Agnello et al. The peak corresponding to elastic scattering FSI does not seem to exist in the measured distribution. Considering that such a two-peak structure is always seen in the inclusive (p,p{sup '}) and (e,e{sup '}) reactions in nuclei at intermediate energies, absence of the elastic scattering peak in the p{Lambda} reaction is intriguing.
p? emission in coincidence following K- absorption at rest in nuclei is studied using quantum-mechanical scattering theory and nuclear wave functions. K- absorption is assumed to occur on two protons in the nucleus. In the formalism, emphasis is put on the study of the final state interaction (FSI) effects of p and ? with the recoiling nucleus. We include elastic scattering and single-nucleon knock-out (KO) channels in the FSI. Calculations are presented for the C12 nucleus, using shell-model wave functions, and without any extra mass modification of the K-pp system in the nucleus. Calculated results are presented for the angular correlation distribution between p and ?, their invariant mass distribution, and the momentum spectra of p and ?. These results are compared with the corresponding experimental measurements of M. Agnello , [Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.94.212303 94, 212303 (2005)]. With only elastic scattering FSI included, the angular correlation distribution and the momentum spectra are found to be in good accord with the corresponding measurements. With full FSI, the calculated p? invariant mass distribution is found to have two peaks, one corresponding to the elastic scattering FSI and another to single-nucleon KO FSI. The KO peak agrees fully, in position and shape, with the peak observed by M. Agnello The peak corresponding to elastic scattering FSI does not seem to exist in the measured distribution. Considering that such a two-peak structure is always seen in the inclusive (p,p') and (e,e') reactions in nuclei at intermediate energies, absence of the elastic scattering peak in the p? reaction is intriguing.
Fundamentals of energy density functional in nuclear physics are presented. Much attention is paid to a mathematically rigorous treatment of deriving the energy density functional. The specific features of the density functional used in studying many-nucleon systems, which is quite different from that used in many-electron systems, are also shown. The intended audience are physicists, chemists and mathematicians. In particular those who will start to study the density functional theory are intended.
Abstract in english Recent developements in our understanding of the fundamental nucleon-nucleon interaction are reviewed. Among the topics considered are (1) the so-called high-precision nucleon-nucleon potentials that emerged in the mid 1990s, (2) progress in the microscopic description of the intermediate-range part of the nucleon-nucleon interaction in terms of correlated pion-pion and rho-pion exchange and (3) efforts towards a quantitative descripton of the nucleon-nucleon interaction utilizing methods based on effective field theory.
The collective motion of atomic nuclei is closely coupled with the motion of nucleons, therefore, it is nonlinear, and the contents of the motion change largely with the increase of its amplitude. As the framework which describes the collective motion accompanied by the change of internal structure, time-dependent Hurtley Fock (TDHF) method is suitable. At present, the authors try to make the method for studying the large region structure in quantum system by utilizing the features of the TDHF phase space. The studies made so far are briefed. In this report, the correspondence of the large region patterns appearing in the band structure chart of three-level model with the periodic orbit group in the TDHF phase space is described. The Husimi function is made, and it possesses the information on the form of respective corresponding intrinsic state. The method of making the band structure chart is explained. There are three kinds of the tendency in the intrinsic state group. The E-T charts are made for the band structure charts to quantitatively express the large region tendency. The E-T chart and the T{sub r}-T chart are drawn for a selected characteristic orbit group. It became to be known that the large region properties of the quantum intrinsic state group of three-level model can be forecast by examining the properties of the periodic orbit group in the TDHF phase space. (K.I.)
Nuclear-medium effects in the weak structurefunctions $F_2(x,Q^2)$ and $F_3(x,Q^2)$ in the charged current neutrino and antineutrino induced deep inelastic reactions in $^{208}$Pb have been studied. The calculations have been performed in a theoretical model using relativistic nuclear spectral functions which incorporate Fermi motion, binding and nucleon correlations. We also consider the pion and rho meson cloud contributions calculated from a microscopic model for meson-nucleus self-energies. Using these structurefunctions, the results for the differential cross section have been obtained and compared with the CERN Hybrid Oscillation Research apparatUS (CHORUS) data. The results for the ratios $\\frac{2F_{i}^{Pb}}{208F_i^D}$, $\\frac{4F_{i}^{Pb}}{208F_i^{He}}$, $\\frac{12F_{i}^{Pb}}{208F_i^C}$, $\\frac{16F_{i}^{Pb}}{208F_i^O}$, and $\\frac{56F_{i}^{Pb}}{208F_i^{Fe}}$ (i=2,3) have also been obtained and a few have been compared with some of the phenomenological fits.
Semi-inclusive deep inelastic scattering off the Deuteron with production of a slow nucleon in recoil kinematics is studied in the virtual nucleon approximation, in which the final state interaction (FSI) is calculated within general eikonal approximation. The cross section is derived in a factorized approach, with a factor describing the virtual photon interaction with the off-shell nucleon and a distorted spectral function accounting for the final-state interactions. One of the main goals of the study is to understand how much the general features of the diffractive high energy soft rescattering accounts for the observed features of FSI in deep inelastic scattering (DIS). Comparison with the Jefferson Lab data shows good agreement in the covered range of kinematics. Most importantly, our calculation correctly reproduces the rise of the FSI in the forward direction of the slow nucleon production angle. By fitting our calculation to the data we extracted the W and Q{sup 2} dependences of the total cross section and slope factor of the interaction of DIS products, X, off the spectator nucleon. This analysis shows the XN scattering cross section rising with W and decreasing with an increase of Q{sup 2}. Finally, our analysis points at a largely suppressed off-shell part of the rescattering amplitude.
This dissertation presents the highest four-momentum transfer, Q^2,quasielastic (x_Bj = 1) results from Experiment E01-020 which systematically explored the 2He(e,e'p)n reaction ("Electro-disintegration" of the deuteron) at three different four-momentum transfers, Q^2 = 0.8, 2.1, and 3.5 GeV^2 and missing momenta, P_miss = 0, 100, 200, 300, 400, and 500 GeV including separations of the longitudinal-transverse interference response function, R_LT, and extractoin of the longitudinal-transverse asymmetry, A_LT. This systematic approach will help to understand the reaction mechanism and the deuteron structure down to the short range part of the nucleon-nucleon interaction which is one of the fundamental missions of nuclear physics. By studying the very short distance structure of the deuteron, one may also determine whether or to what extent the description of nuclei in terms of nucleon/meson degrees of freedom must be supplemented by inclusion of explicit quark effects. The unique combination of energy, current, duty factor, and control of systematics for Hall A at Jefferson Lab made Jefferson Lab the only facility in the world where these systematic studies of the deuteron can be undertaken. This is especially true when we want to understand the short range structure of the deuteron where high energies and high luminosity/duty factor are needed. All these features of Jefferson Lab allow us to examine large missing momenta (short range scales) at kinematics where the effects of final state interactions (FSI), meson exchange currents (MEC), and isobar currents (IC) are minimal, making the extraction of the deuteron structure less model-dependent. Jefferson Lab also provides the kinematical flexibility to perform the separation of R_LT over a broad range of missing momenta and momentum transfers. Experiment E01-020 use the standard Hall A equipment in coincidence configuration in addition to the cryogenic target system. The low and middle Q^2 kinematics were completed in June 2002 and the high Q^2 kinematics were completed in November 2002. Before the start of the experiment many preparations were made to assure the quality of the collected data. Approximately two Terabytes of data were collected by the end of the experiment. The cross section results in this dissertation show clearly the effect of final state interactions between the two final state nucleons. The cross section ratio to the Laget PWBA+FSI calculation has a wiggle at P_miss ~ 300 MeV. It is yet to be seen whether this is merely due to the lack of MEC and IC in the present theoretical calculation. However, a similar feature was observed in a previous Hall A experiment. Further, discrepancies at very low P_miss cast some doubt on neutron form factor measurements using the deuteron as target. This study will add to the already growing body of systematic data for the ^2H(e,e'p)n reaction to better understand the N N short range and to provide vital input for heavier nuclei.
Understanding the effects of a background hadronic medium on hadronic observables is important in the context of hadron structure. Many experiments probing nucleonstructure make use of nuclear targets and unraveling the modifications that ensue is a complex task. Using lattice QCD, we investigate the ab initio computation of hadron structure in a medium, focusing on the structure of the pion in a Bose-condensed gas of pions.
We extend earlier investigations of charge symmetry violation in the valence quark distributions of the nucleon, and make similar estimates for the pion. The sensitivity of pion-induced Drell-Yan measurements to such effects is then examined. It is shown that combinations of \\pi^+ and \\pi^- data on deuterium and hydrogen are sensitive to these violations, and that the pion and nucleon charge symmetry violating terms separate as a function of x_\\pi and x_N respectively. We estimate the background terms which must be evaluated to extract charge symmetry violation.
A many-body expansion for the computation of the charge form factor in the center-of-mass system is proposed. For convergence testing purposes, we apply our formalism to the case of the harmonic oscillator shell model, where an exact solution exists. We also work out the details of the calculation involving realistic nuclear wave functions. Results obtained for the Argonne v18 two-nucleon and Urbana-IX three-nucleon interactions are reported. No corrections due to the meson-exchange charge density are taken into account. {copyright} {ital 1999} {ital The American Physical Society}
A many-body expansion for the computation of the charge form factor in the center-of-mass system is proposed. For convergence testing purposes, we apply our formalism to the case of the harmonic oscillator shell model, where an exact solution exists. We also work out the details of the calculation involving realistic nuclear wave functions. Results obtained for the Argonne $v$18 two-nucleon and Urbana-IX three-nucleon interactions are reported. No corrections due to the meson-exchange charge density are taken into account.
The authors investigate the exclusive electroproduction of {pi}{sup +} mesons from nucleons. To leading twist, leading order {alpha}{sub s} accuracy the corresponding production amplitude can be decomposed into pseudovector and pseudoscalar parts. Both can be expressed in terms of quark double distribution functions of the nucleon. While the pseudovector contribution is connected to ordinary polarized quark distributions, the pseudoscalar part can be related to one pion t-channel exchange. They observe that the pseudovector part of the production amplitude is important at x < 0.1. On the other hand, for 0.1 < x < 0.4 contributions from one pion exchange dominate.
The bulk properties of nuclear matter are studied within the Brueckner-Hartree-Fock (BHF) and extended Brueckner-Hartree-Fock (EBHF) approaches using different realistic nucleon-nucleon interactions. Nuclear matter saturation points, incompressibility, chemical potential and speed of sound are calculated and analysed as functions of the density, for nuclear matter. We found that both the BHF and the EBHF approaches fail to reproduce the empirical saturation point of nuclear matter. Also, we found that the EBHF approach leads to a slightly smaller chemical potential compared to the BHF approximation. This effect becomes more pronounced as the density is increased further.
The deuteron-proton elastic scattering has been studied in the multiple-scattering expansion formalism. Primary attention has been given to such relativistic problems as a deuteron wave function in a moving frame and transformation of spin states due to Wigner rotation. Parametrization of the nucleon?nucleon t matrix has been used to take the off-energy-shell effects into account. The vector, A y , and tensor, A yy , analyzing powers of the deuteron have been calculated at two deuteron kinetic energies: 395 and 1200 MeV. The obtained results are compared with the experimental data.
In the very heavy collision system {sup 197}Au+{sup 197}Au the K{sup +} production process was studied as function of impact parameter at 1 GeV/nucleon, a beam energy well below the free N-N threshold. The K{sup +} multiplicity increases more than linearly with the number of participant nucleons and the K{sup +}/{pi}{sup +} ratio is rising significantly when going from peripheral to central collisions. The measured K{sup +} double differential cross section is enhanced by a factor of 6 compared to microscopic transport calculations if secondary processes ({Delta}N{yields}K{Lambda}N and {Delta}{Delta}{yields}K{Lambda}N) are ignored. (orig.)
The two-neutron transfer reaction {sup 116}Sn({sup 162}Dy, {sup 160}Dy){sup 118}Sn has been performed to study nucleon-nucleon pairing correlations as a function of angular momentum. As the transfer reaction is taking place between highly charged nuclei the transfer process is always accompanied by a large Coulomb excitation. Moreover, since the 2n transfer peaks strongly at the distance of closest approach, the transfer occurs when the deformed nucleus has already acquired a certain spin. Therefore the quenching of pairing under the influence of deformation and rotation due to the Coriolis force might be observable by measuring the correlated 2n-transfer. (orig.)
We have calculated the differential cross sections and polarization observables for elastic and inelastic scattering of intermediate-energy protons on {sup 12}C and {sup 16}O nuclei on the basis of the multiple diffraction scattering theory with the nucleon density and transition density obtained from the {alpha}-cluster model with dispersion and from model-free analysis. We have shown that there is a qualitative difference between the elastic scattering spin-rotation functions calculated by the {alpha}-cluster model with dispersion and by the independent-nucleon model. (author).
The calculation of the amplitude of proton elastic scattering by unstable neutron-rich nucleus 15C within the Glauber diffraction theory with the 15C nucleus wave function in the multiparticle shell model is presented. In optical limit approximation (single scattering), the differential cross section of proton elastic scattering is calculated at energies of 0.2, 0.6, and 1 GeV/nucleon. For an energy of 0.2 GeV/nucleon, the contribution of double scattering, determining the differential cross section at angles exceeding 20? is taken into account.
The nuclear binding energies for 28 nuclei including several isotopic chains with masses ranging from A=64 to A=226 were evaluated using the Skyrme effective nucleon-nucleon interaction and the Extended Thomas-Fermi approximation. The neutron and proton density distributions are assumed in the form of Fermi functions the parameters of which are determined so as to minimize the total binding energy of any given nucleus. The present study is restricted to quadrupole shapes, but the neutron and proton density distributions are free to have different deformations. A simple expression for the variation of the nuclear energy with the neutron--proton deformation difference is derived.
We investigate the exclusive electroproduction of pi^+ mesons from nucleons. To leading twist, leading order alpha_s accuracy the corresponding production amplitude can be decomposed into pseudovector and pseudoscalar parts. Both can be expressed in terms of quark double distribution functions of the nucleon. While the pseudovector contribution is connected to ordinary polarized quark distributions, the pseudoscalar part can be related to one pion t-channel exchange. We observe that the pseudovector part of the production amplitude is important at x < 0.1. On the other hand, for 0.1 < x < 0.4 contributions from one pion exchange dominate.
We discuss the conservation of angular momentum in nuclear time-dependent Hartree-Fock calculations for a numerical representation of wave functions and potentials on a three-dimensional cartesian grid. Free rotation of a deformed nucleus performs extremely well even for relatively coarse spatial grids. Heavy ion collisions produce a highly excited compound system associated with substantial nucleon emission. These emitted nucleons reach the bounds of the numerical box which leads to a decrease of angular momentum. We discuss strategies to distinguish the physically justified loss from numerical artifacts.
We calculate the strange quark content of the nucleon directly from its disconnected three-point function in N_f=2+1 QCD. Chiral symmetry is crucial to avoid a possibly large contamination due to operator mixing, and is exactly preserved by employing the overlap quark action. We also use the all-to-all quark propagator and the low-mode averaging technique in order to accurately calculate the relevant nucleon correlator. Our preliminary result extrapolated to the physical point is f_{T_s} = 0.013(12)(16). This is in good agreement with our previous estimate in N_f=2 QCD as well as those from our indirect calculations using the Feynman-Hellmann theorem.
The extension of Green's functions techniques to the complex energy plane provides access to fully dressed quasi-particle properties from a microscopic perspective. Using self-consistent ladder self-energies, we find both spectra and lifetimes of such quasi-particles in nuclear matter. With a consistent choice of the group velocity, the nucleon mean-free path can be computed. Our results indicate that, for energies above 50 MeV at densities close to saturation, a nucleon has a mean-free path of 4 to 5 femtometers.
The reaction 48Ca+64Ni has been studied in the deep inelastic regime at approximately 6 MeV/A, by the CLARA-PRISMA setup. Angular distributions of the reaction cross sections have been obtained for the most intense reaction products, taking into account the response function of the magnetic spectrometer. The response of PRISMA has been calculated making use of a MonteCarlo simulation of the transport of the ions in the spectrometer, starting from known events distributions. For the one-nucleon transfer channels, the experimental data are in good agreement with predictions from a semiclassical multi-nucleon transfer model.
We present a new calculation of the propagation of protons with energies above 10{sup 19} eV over distances of up to several hundred Mpc. The calculation is based on a Monte Carlo approach using the event generator SOPHIA for the simulation of hadronic nucleon-photon interactions and a realistic integration of the particle trajectories in a random extragalactic magnetic field. Accounting for the proton scattering in the magnetic field affects noticeably the nucleon energy as a function of the distance to their source and allows us to give realistic predictions on arrival energy, time delay, and arrival angle distributions and correlations as well as secondary particle production spectra.
Conventional nucleon-nucleon potentials with strong short-range repulsion require contributions from high-momentum wave function components even for low-energy observables such as the deuteron binding energy. This can lead to the misconception that reproducing high-energy phase shifts is important for such observables. Interactions derived via the similarity renormalization group decouple high-energy and low-energy physics while preserving the phase shifts from the starting potential. They are used to show that high-momentum components (and high-energy phase shifts) can be set to zero when using low-momentum interactions, without losing information relevant for low-energy observables.
The effect of real and effective three-nucleon forces on the excitation spectra and wave functions has been studied for nuclei occurring at the beginning as well as the end of the 1s0d shell. The effects of these three-body terms are compared to those of a phenomenological mass-dependent two-nucleon interaction which has been fitted to describe excitation spectra for nuclei in the whole shell. The Glasgow shell-model code has been extended to incorporate a general three-body term in the effective hamiltonian.
The three-nucleon (NNN) interaction derived within the chiral effective field theory at the next-to-next-to-leading order (N2LO) is regulated with a function depending on the magnitude of the momentum transfer. The regulated NNN interaction is then local in the coordinate space, which is advantages for some many-body techniques. Matrix elements of the local chiral NNN interaction are evaluated in a three-nucleon basis. Using the ab initio no-core shell model (NCSM) the NNN matrix elements are employed in 3H and 4He bound-state calculations.
An attempt is made to relate the appearance of an etched tract to the atomic number and velocity of the ion that left it using 10 MeV/nucleon Kr beams and 6 MeV/nucleon Zn beams. It was found that the etching rate along a tract in minerals and glass is a monototonic function of ionization rate thus, making particle identification possible. Results show the following were present in lunar samples: superheavy elements, cosmic rays with z greater than 26, and solar flare particles in Surveyor glass.
The amplitudes for elastic and inelastic proton scattering on the neutron-rich nucleus 15C (to its J ? = 5/2+ level in the latter case) in inverse kinematics were calculated within Glauber diffraction theory. First- and second-order terms were taken into account in the multiple-scattering operator. The 15C wave function in the multiparticle shell model was used. This made it possible to calculate not only respective differential cross sections but also the contribution of proton scattering on nucleons occurring in different shells. The differential cross sections for elastic and inelastic scattering were calculated at the energies of 0.2, 0.6, and 1 GeV per nucleon.
We study the Wigner functions of the nucleon which provide multidimensional images of the quark distributions in phase space and combine in a single picture all the information contained in the generalized parton distributions (GPDs) and the transverse-momentum dependent parton distributions (TMDs). In particular, we present results for the distribution of unpolarized quarks in a longitudinally polarized nucleon obtained in a light-cone constituent quark model. Treating the Wigner distribution as it was a classical distribution, we obtain the quark orbital angular momentum and compare it with alternative definitions given in terms of the GPDs and the TMDs.
We study the Wigner functions of the nucleon which provide multidimensional images of the quark distributions in phase space and combine in a single picture all the information contained in the generalized parton distributions (GPDs) and the transverse-momentum dependent parton distributions (TMDs). In particular, we present results for the distribution of unpolarized quark in a longitudinally polarized nucleon. Treating this distribution as it was a classical distribution, we also obtain the expectation value of the orbital angular momentum operator and compare the corresponding results from different quark models with the values obtained using alternative definitions of the orbital angular momentum, as given in terms of the GPDs and the TMDs.
Nuclei with {ital Z} up to 82 emitted in the {sup 208}Pb+{sup 197}Au reaction at {ital E}{sub lab}=29 MeV per nucleon have been measured as a function of the associated neutron multiplicity. The data reveal the presence of strong correlations between character of a collision and neutron multiplicity. The trends suggest a disassembly of the nuclear system into a large number of nucleons and small fragments in the events with the highest neutron multiplicity. In such events, approximately one-third of the neturons are released from the system and fragment yields decrease in an exponential fashion with increasing mass.
We present a new calculation of the propagation of protons with energies above $10^{19}$ eV over distances of up to several hundred Mpc. The calculation is based on a Monte Carlo approach using the event generator SOPHIA for the simulation of hadronic nucleon-photon interactions and a realistic integration of the particle trajectories in a random extragalactic magnetic field. Accounting for the proton scattering in the magnetic field affects noticeably the nucleon energy as a function of the distance to their source and allows us to give realistic predictions on arrival energy, time delay, and arrival angle distributions and correlations as well as secondary particle production spectra.
We investigate within a meson-exchange model the OZI allowed coupling of the {phi} meson to the nucleon with the inclusion of kaon loops and hyperon excitations. All parameters of the model have previously been determined from a variety of hadronic reactions. A strong cancellation of the various contributions is observed which results in a small {phi}NN coupling. We also show that a realistic isoscalar spectral function including the correlated {pi}{rho} exchange leads to sizeably reduced strange vector form factors based on the dispersion-theoretical analysis of the nucleons{close_quote} electromagnetic form factors explaining our previous result. {copyright} {ital 1997 American Institute of Physics.}
We investigate within a meson-exchange model the OZI allowed coupling of the phi meson to the nucleon with the inclusion of kaon loops and hyperon excitations. All parameters of the model have previously been determined from a variety of hadronic reactions. A strong cancellation of the various contributions is observed which results in a small phiNN coupling. We also show that a realistic isoscalar spectral function including the correlated {sub pi}rho exchange leads to sizeably reduced strange vector form factors based on the dispersion-theoretical analysis of the nucleons' electromagnetic form factors explaining our previous result.
The spin structure of the nucleon is investigated at the COMPASS experiment at the CERN-SPS using polarized muons scattering off polarized nucleons. The contribution of the quarks to nucleon spin, as measured in the inclusive deep-inelastic scattering, is not sufficient to explain the spin of the nucleon. Thus it has to be clarified how the gluon polarization and the angular momenta of quarks and gluons contribute to the spin of the nucleon. Since the gluon polarization can only be estimated from the $Q^{2}$-dependence of inclusive deep inelastic asymmetries, a direct measurement of the gluon polarization is mandatory. The COMPASS collaboration determines the gluon polarization from cross section asymmetries in photon-gluon fusion processes using open charm production or the production of hadron pairs with large transverse momenta. This thesis presents a measurement of the gluon polarization using the COMPASS data of the years 2003 and 2004. The events with large virtuality, $Q^{2}>1$ $GeV^{2}/c^{2}$ and hadr...
We study a mechanism for parity violation in the two nucleon meson-exchange interaction by way of the mixing of mesons of opposite parities. This mixing arises from parity violating {ital W}{sup {plus minus}} and {ital Z} exchange between the {ital q{bar q}} pair in the meson. Numerically its effect turns out to be as important as vector meson exchange with a weak meson-nucleon vertex and may partly be used to model this vertex. The calculation is performed using both the standard Born approximation adding the amplitude phases by Watson's theorem and also using the exact correlated two-nucleon wave functions. The effect of correlations and form factors is found to be crucially important at intermediate energies.
Relying upon our previous treatment of the density matrices for nuclei (in general, nonrelativistic self-bound finite systems) we are studying a combined effect of center-of-mass motion and short-range nucleon-nucleon correlations on the nucleon density and momentum distributions in light nuclei ($^{4}He $ and $^{16}O$). Their intrinsic ground-state wave functions are constructed in the so-called fixed center-of-mass approximation, starting with mean-field Slater determinants modified by some correlator (e.g., after Jastrow or Villars). We develop the formalism based upon the Cartesian or boson representation, in which the coordinate and momentum operators are linear combinations of the creation and annihilation operators for oscillatory quanta in the three different space directions, and get the own "Tassie-Barker" factors for each distribution and point out other model-independent results. After this separation of the center-of-mass motion effects we propose additional analytic means in order to simplify th...
Anisotropic flows ($v_2$ and $v_4$) of light nuclear clusters are studied by Isospin-Dependent Quantum Molecular Dynamics model for the system of $^{86}$Kr + $^{124}$Sn at intermediate energy and large impact parameters. Number-of-nucleon scaling of the elliptic flow ($v_2$) are demonstrated for the light fragments up to $A$ = 4, and the ratio of $v_4/v_2^2$ shows a constant value of 1/2. In addition, the momentum-space densities of different clusters are also surveyed as functions of transverse momentum, in-plane transverse momentum and azimuth angle relative to the reaction plane. The results can be essentially described by momentum-space power law. All the above phenomena indicate that there exists a number-of-nucleon scaling for both anisotropic flow and momentum-space densities for light clusters, which can be understood by the coalescence mechanism in nucleonic degree of freedom for the cluster formation.
Polarization properties of high energy photodisintegration of the deuteron are studied within the framework of the hard rescattering mechanism~(HRM). In HRM, a quark of one nucleon knocked-out by the incoming photon rescatters with a quark of the other nucleon leading to the production of two nucleons with high relative momentum. Summation of all relevant quark rescattering amplitudes allows us to express the scattering amplitude of the reaction through the convolution of a hard photon-quark interaction vertex, the large angle p-n scattering amplitude and the low momentum deuteron wave function. Within HRM, it is demonstrated that the polarization observables in hard photodisintegration of the deuteron can be expressed through the five helicity amplitudes of NN scattering at high momentum transfer. At 90$^\\circ$ CM scattering HRM predicts the dominance of the isovector channel of hard $pn$ rescattering, and it explains the observed smallness of induced, $P_y$ and transfered, $C_x$ polarizations without invoki...
The inclusive K/sup -/-meson production in proton-nucleus collisions in the subthreshold energy regime is studied in the framework of an appropriate spectral function approach for incoherent primary proton- nucleon and secondary pion-nucleon production processes, which takes properly into account the nuclear mean-field potential effects on these processes as well as the final state interaction (FSI) among the outgoing nucleons participating in the one-step antikaon creation process. A detailed comparison of the model calculations of the K/sup -/ differential cross sections is given for the reactions p + /sup 9 /Be, p + /sup 63/Cu, and p + /sup 197/Au at subthreshold energies with the currently available experimental data obtained recently at the ITEP proton synchrotron and at SIS/GSI. It is found that the calculations with inclusion of the influence of both the nuclear density-dependent mean-field potentials and the elementary NN-FSI effects on the K/sup $/production from direct mechanism are able to reproduc...
Charmonium dissociations by nucleons are first studied from a quark-quark potential in combination with quark exchange mechanism. Wave functions of nucleons and charmed baryons involved in dissociation reactions result from a fit to mass splittings of baryons with spins ((1)/(2)) and ((3)/(2)). Transverse momentum and x sub F distributions of prompt J/psi produced in 800 GeV/c p-Be collisions are calculated by using NRQCD d sigma/dt[circ] for parton-parton scatterings and taking into account initial transverse-momentum distributions of partons inside nucleons. We emphasize that the new dissociation cross sections of J/psi, psi' and chi sub c sub J give rise to remarkable differences of J/psi, psi' and chi sub c suppressions at large negative x sub F in p-W collisions at sq root s sub N sub N =38.8 and 41.6 GeV and p-Au collisions at sq root s sub N sub N =130 GeV.
To develop a dinuclear system conception, dynamical deformation and nucleon transfer in the heavy ion fusion reaction process are viewed simultaneously as a diffusion process and are treated by solving a set of master equations with the variables of the quadrupole deformation of each nucleus and the mass asymmetry variable in the potential energy surface (PES) of the system. The PES is determined by these three variables (two deformation coordinates and the mass asymmetry coordinate) and further governs the variation of the three variables by the master equations. The nucleon transfer and dynamical deformations of nuclei are correlated in the reactions. So the energy surface of the system for nucleon transfer is dependent on deformations and, thus, is time dependent. The calculated results for the quasifission mass yields and the excitation function of the evaporation residue cross sections to form elements 114 and 116 are shown to be agreeable with the measured data.
We report a measurement of the flux-averaged neutral-current elastic differential cross section for neutrinos scattering on mineral oil (CH$_2$) as a function of four-momentum transferred squared. It is obtained by measuring the kinematics of recoiling nucleons with kinetic energy greater than 50~MeV which are readily detected in MiniBooNE. This differential cross-section distribution is fit with fixed nucleon form factors apart from an axial mass, $M_{A}$, that provides a best fit for $M_A= 1.39\\pm0.11$~GeV. Additionally, single protons with kinetic energies above 350 MeV can be distinguished from neutrons and multiple nucleon events. Using this marker, the strange quark contribution to the neutral-current axial vector form factor at $Q^2 = 0$, $\\Delta s$, is found to be $\\Delta s=0.08\\pm0.26$.
An approximate method to quantify the mass dependence of the number of two-nucleon (2N) short-range correlations (SRC) in nuclei is suggested. The proposed method relies on the concept of the "local nuclear character" of the SRC. We quantify the SRC and its mass dependence by computing the number of independent-particle model (IPM) nucleon pairs in a zero relative orbital momentum state. We find that the relative probability per nucleon for 2N SRC follows a power law as a function of the mass number $A$. The predictions are connected to measurements which provide access to the mass dependence of SRC. First, the ratio of the inclusive inelastic electron scattering cross sections of nuclei to $^{2}$H at large values of the Bjorken variable. Second, the EMC effect, for which we find a linear relationship between its magnitude and the predicted number of SRC-prone pairs.
We present Quantum Monte Carlo calculations of magnetic moments and M1 transitions in $A\\le 9$ nuclei which take into account contributions of two-body electromagnetic currents. The Hamiltonian utilized to generate the nuclear wave functions includes the realistic Argonne-{\\it v}$_{18}$ two-nucleon and the Illinois-7 three-nucleon interactions. The nuclear two-body electromagnetic currents are derived from a pionful chiral effective field theory including up to one-loop corrections. These currents involve unknown Low Energy Constants which have been fixed so as to reproduce a number of experimental data for the two- and three-nucleon systems, such as $np$ phase shifts and deuteron, triton, and $^3$He magnetic moments. This preliminary study shows that two-body contributions provide significant corrections which are crucial to bring the theory in agreement with the experimental data in both magnetic moments and M1 transitions.
We discuss the short-range structure of hadronic and nuclear wave functions expected in QCD. In addition to the extrinsic'' contributions associated with radiation from single partons, there is an intrinsic'' hardness of the high-mass fluctuations of the wave function due to the spatial overlap of two or more partons. We argue that intrinsically-hard partons, having large mass and/or large transverse momentum, will dominate in the region of large Feynman x{sub F}. Their rescattering in nuclear targets is expected to be larger than for extrinsically-hard partons, leading to a suppressed production cross section for hadrons scattering on heavy nuclei. Experimental evidence for this exists for open chars. J/{psi}, and {gamma} production at large x{sub F}. The effects of intrinsic hardness may be particularly striking in nuclear wave functions, where the overlap of partons belonging to different nucleons can give rise to cumulative (x > 1) phenomena. The data on backward cumulative particle production from nuclei supports the existence of an intrinsically-hard component in nuclear wave functions. Partons at large x{sub F} may also be associated with the enhanced subthreshold production of particles observed in hadron-nucleus and nucleus-nucleus collisions. We discuss the evidence for anomalies in the large angle pp {yields} pp cross section near the charm threshold. Arguments are presented that chromium states may bind to nuclei through the QCD Van der Waals force. This would lead to a striking signal in charm production near threshold. 49 refs., 7 figs.
The interplay of isospin asymmetry and finite temperature in nuclei plays an important role on properties of nuclear excitations and weak interaction rates in stellar environment. Recently a fully self-consistent microscopic framework, based on Hartree-Fock plus random phase approximation using Skyrme functionals, has been introduced for description of excitations and weak-interaction cross sections at finite temperature. Another self-consistent framework involving nuclei at finite temperature has also been developed within relativistic mean field theory using effective Lagrangians with density dependent meson-nucleon vertex functions. Nuclear excitations are studied using finite temperature random phase approximation for the range of temperatures T = 0-2 MeV, as well as in nuclei far from stability. In the focus of research are the structure properties of exotic modes of excitation (e.g. pygmy dipole resonances) and charge-exchange modes (e.g. Gamow-Teller resonances and forbidden transitions). It is shown that finite temperature effects include novel low-energy multipole excitations and modifications of the Gamow-Teller transition spectra. Using a representative set of Skyrme functionals, as well as covariant energy density functional with DD-ME2 parameterization, both theory frameworks have been applied in calculations of electron-capture cross sections relevant in the stage of supernova precollapse.
We have measured at NAL the yields of particles produced as a function of transverse momentum in proton-nucleus collisions. The observations were made in the region of 90° in the center of mass system of the incident proton and a single nucleon at rest. We report here preliminary results from a tung...
We calculate the charge response to an electromagnetic field for a homogeneous system of nucleons and pions in the functional framework. This requires dealing with the pion propagation in the medium within the random-phase-approximation scheme. A quenching of the response is obtained in line with the experimental findings. Remarkably, the quenching takes place mainly in the isoscalar channel.
The gamma-spectra were calculated for the set of different level densities and radiative strength functions. The sufficiently precise reproduction of the experiment is impossible without taking into account the influence of the process of the nucleons Cooper pairs breaking on any nuclei cascade gamma-decay parameters.
We propose a new mechanism for the production of D-mesons at forward rapidities and demonstrate that the resulting transverse momentum spectra are strongly dependent on the behavior of the nucleon charm distribution function at large Bjorken x. Our results show clearly that the hypothesis of intrinsic charm can be tested in pp collisions at RHIC and LHC.
The systems Nb + Nb and Au + Au have been measured at different energies at the Bevalac with the Plastic Ball spectrometer. Distributions of the flow angles as a function of charged particle multiplicity are presented. Also shown is a transverse momentum analysis for 400 MeV per nucleon Nb + Nb. 25 refs., 5 figs., 1 tab.
We calculate the equation of state of nuclear matter in the self-consistent T-matrix scheme including three-body nuclear interactions. We study the effect of the three-body force on the self-energies and spectral functions of nucleons in medium.
flux ratios observed following the three large solar flares of May 23, 1967. One of the large ... A simple power law was only indicative of the particle flux spectral .... The alpha to proton ratios as a function of energy/nucleon and total particle ...
The energy/nucleon spectral shape of the medium nuclei was again the same as that of the helium .... responsible for the event and about three (3) hours before near-Earth satellites recorded ... function of R for each track. Such a plot is shown ...
We calculate the equation of state of nuclear matter in the self-consistent T-matrix scheme including three-body nuclear interactions. We study the effect of the three-body force on the self-energies and spectral functions of nucleons in medium.
A measurement is presented of the charged hadron multiplicity in hadronic PbPb collisions, as a function of pseudorapidity and centrality, at a collision energy of 2.76 TeV per nucleon pair. The data sample is collected using the CMS detector and a minimum-bias trigger, with the CMS solenoid off. Th...
The energetic shift caused by the two-pion-exchange three-nucleon force in the triton is estimated in first order perturbation theory. The triton wave function psi is gained through a Faddeev calculation using the Reid potential. Within the restricted presentation of psi strong cancellations between terms of the order of 1 MeV lead to an unimportant small effect.
KI crystals were irradiated with deuterons or alpha particles of 14 MeV per nucleon to doses between 2-6 × 1018 m-2, and subsequently are annealed at 393 K. Surface replicas reveal a colloid inclusion distribution as a function of ion penetration depth, with a strong maximum near the stopping zone. ...
The series expansion form of the conventional nuclear EMC effect is reformulated by the x rescaling procedure. Particular attention is drawn to the symmetry property of the nucleon momentum distribution function to streamline the explanation for the EMC effect within the conventional nuclear model. (orig.).
We consider a rescattering mechanism to calculate a leading twist $T$-odd pion fragmentation function, a candidate for filtering the transversity properties of the nucleon. We evaluate the single spin azimuthal asymmetry for a transversely polarized target in semi-inclusive deep inelastic scattering (for HERMES kinematics) and the double $T$-odd $\\cos2\\phi$ asymmetry in this framework.
The Unitary Pole Approximation (UPA) is an efficient means to construct a rank-one separable potential, reproduces the deuteron and {sup 1}S{sub 0} anti-bound-state wave functions, generates a reliable estimate of the two- and three-nucleon binding energies, and yields a simple representation of the three-nucleon ground-state wave function. The Reid93 potential provides a representation of the NN scattering data comparable in fit to a partial wave analysis, and reproduces the deuteron properties as well as any contemporary potential model. From comparing the UPA and the local potential results, we can see that the UPA gives a satisfactory approximation to the local potential, suggesting that one may use the UPA three-nucleon wave function to calculate the electric dipole moment (EDM) for the {sup 3}H and {sup 3}He considering the absence of any experimental measurement at this stage, or to investigate the variation in the two- and three-nucleon binding energy as a function of the hadronic mass.
The mass of lepto-quark gauge boson and the nucleon lifetime are estimated in an SO(10) grand unified theory. We use the ..beta..-function including the gauge boson mass effects explicitly, and solve renormalization group equation numerically. We also discuss the dependence of results on the various parameters of this theory.
Two-proton correlation functions have been measured in the reaction {sup 208}Pb+{sup 93}Nb at 29MeV per nucleon at GANIL in the scattering chamber of ORION used as a neutron calorimeter. In the same experiment preequilibrium and equilibrium emissions are observed. Very strong effects are seen after centrality selection and directional cuts. ((orig.)).
The probability for Bremsstrahlung has been measured as function of the mass of the projectile-like fragment in peripheral reactions of {sup 36}Ar+{sup 159}Tb at 44 MeV/nucleon. The Bremsstrahlung probability is found to depend on the amount of mass transferred and the direction of the transfer. ((orig.)).
Single-particle matrix elements of nucleon transfer were calculated by the Woods-Saxon potential wave functions. The results are compared with the ones calculated by the spherical-well approximation. The eligibility of the approximation of the mean field of nuclei by the spherical well to study the initial stage of nuclear reactions at heavy-ion collisions is demonstrated.
Single-particle matrix elements of nucleon transfer were calculated by the Woods-Saxon potential wave functions. The results are compared with the ones calculated by the spherical-well approximation. The eligibility of the approximation of the mean field of nuclei by the spherical well to study the initial stage of nuclear reactions at heavy-ion collisions is demonstrated.
Single-particle matrix elements of nucleon transfer were calculated by Woods--Saxon potential wave functions and results are compared with ones calculated by spherical well approximation. The application of the approximation of the mean-field of nuclei at heavy-ion collisions by the spherical well, which is widely used in the model based on dinuclear concept, is proved.
The authors investigate the role of correlated {pi}{rho} exchange in the extraction of matrix elements of the strange vector current in the proton. They show that a realistic isoscalar spectral function including this effect leads to sizably reduced strange vector form factors based on the dispersion--theoretical analysis of the nucleons' electromagnetic form factors.
A study of charged hadron production in d+Au and Au+Au collisions is presented at various collision energies (sqrt(s)=19.6 to 200 GeV per nucleon). Scaling and factorization features of transverse momentum and pseudorapidity distributions and elliptic flow are discussed as a function of collision energy and centrality.
The weak production of Lambdas in nucleon-nucleon scattering is studied in a meson-exchange framework. The weak transition operator for the $NN \\to N strangeness-changing transition potential $\\Lambda N \\to NN$ that describes the nonmesonic decay of hypernuclei. The initial $NN$ and final $YN$ state interaction has been included by using realistic baryon-baryon forces that describe the available elastic scattering data. The total and differential cross sections as well as the parity-violating asymmetry are studied for the reaction $pn \\to p\\Lambda$. These observables are found to be sensitive to the choice of the strong interaction potential and the structure of the weak transition potential.
The present and future prospects of intermediate-energy semileptonic neutral current studies are reviewed. Possibilities for using neutrino and parity-violating electron scattering from nucleons and nuclei to study hadron structure and nuclear dynamics are emphasized, with particular attention paid to probes of the nucleon's strangeness content. Connections are drawn between such studies and tests of electroweak gauge theory using electron or neutrino scattering. Outstanding theoretical issues in the interpretation of semileptonic neutral current measurements are highlighted, and the prospects for undertaking neutrino and parity-violating electron scattering experiments in the near future