Nuclear Halo-Like Phenomena of 6,8He and Nuclear Short Range Correlation

Based on the nuclear short range correlation in a halo-like nucleus, theoretical analysis of the experimental cross sections for small-angle elastic p-^4,6,8 He scattering at the energy of about 0.7 GeV has been performed in the framework of Glauber multiple scattering theory. Our theoretical calculations reproduce the corresponding experimental data quite successfully. These good agreements confirm that the nuclear halo-like phenomena may originate from the short range correlation between nucleons in a halo-like nucleus.     

Nuclear Halo-Like Phenomena of 6,8He and Nuclear Short Range Correlation

Based on the nuclear short range correlation in a halo-like nucleus, theoretical analysis of the experimental cross sections for small-angle elastic p-4,6,8He scattering at the energy of about 0.7 GeV has been performed in the framework of Glauber multiple scattering theory. Our theoretical calculations reproduce the corresponding experimental data quite successfully. These good agreements confirm that the nuclear halo-like phenomena may originate from the short range correlation between nucleons in a halo-like nucleus.     

Effect of the shell structure of nuclei on p 15C and p 15N scattering within diffraction theory

The differential cross sections for elastic proton scattering on ¹⁵C and ¹⁵N nuclei at energies of 150 and 800 MeV were calculated within the diffraction theory of Glauber multiple scattering. Shellmodel wave functions were used in these calculations, and particular attention was given to analyzing the sensitivity of the calculated features to distinctions between the shell structure of the ¹⁵C nucleus and the shell structure of the ¹⁵N nucleus. The calculations were performed in the approximation of double scattering. The multiple-scattering operator was written in a form that permits taking into account collisions with nucleons belonging to different shells. It is shown that the difference in structure between the two nuclei in question leads to substantial distinctions between the differential cross sections for scattering at an energy of 800 MeV and scattering angles larger than 25°.     

用高能核子非弹性散射研究核力有效势

本文用扭曲波玻恩近似法及多体高能近似法,处理了原子核对高能核子的非弹性散射现象。在具有可靠的靶核激发态波函数的情况下,可利用这些理论处理方法研究核内两核子间的有效势,本文具体就碳核对185MeV入射核子的非弹性散射进行了计算。在计算中利用了粒子-空穴模型核波函数。在采用了具有各种交换性质并包含自旋轨道耦合项的有效势后,用一组合理的位阱参数,由多体高能近似法计算的理论值可与几个微分截面及极化实验曲线同时符合。     

Nuclear Short range correlations in finite nuclei

The short-range correlations between nucleons in finite nuclei are investigated in the framework of Glauber multiple scattering theory without any free parameters. The effects on proton-nucleus and nucleus - nucleus interactions such as p - {4}He$ and {4}He- {12}C elastic scattering, and in particular the proton elastic scattering off hallo-like nuclei, {6,8}He, are estimated. Our calculations show that the short-range correlations play an important role in reproducing experimental data and could be also thought of as being the origin and nature of halo-like phenomena in the nuclear structure. More accurate calculations along this line are needed.     

Deep processes in nuclei and in-medium dressing of the nucleons and mesons

K⁺ scattering and quasielastic electron scattering from nuclei are expected to provide information about the nucleons and mesons in the inner regions of nuclei. The K⁺- nucleus cross sections and the quasielastic electron-nucleus response functions have been calculated taking into account the same in-medium dressing of the nucleons and the same coupling of the σ and ω mesons to the polarization of nuclear matter. We obtain a good agreement with experimental data for the two processes.     

High Energy Nucleus–Nucleus Collisions in View of the Multi-Peripheral Model

The hypothesis of the ulti-peripheral odel is extended to the hadron –nucleus interactions and then generalized to the nucleus –nucleus case. The processing of the odel depends on input parameters that are extracted fro the features of the experiments in this .eld.The number of encountered nucleons from both target and projectile are estimated according to the eikonal scattering approach.The screening effect due to the interaction of the projectile nucleons in successive manner with the target nucleus is considered.The rapidity distributions of fast particles are reproduced for the successive collisions in p –S and 32 S –32 S interactions at 200 A GeV.A global fair agreement is found in comparison with data of the experi ent CERN-NA-035.     

Multi-step processes in high-energy elastic and inelastic nuclear scattering

Multi-step processes in elastic and inelastic nuclear scattering at intermediate and high energies are investigated using a formulation whereby a finite number of channels are explicitly treated while all the other channels are approximately accounted for through a “second-order potential matrix”. Within the framework of the eikonal approximation the problem reduces to a finite system of first-order coupled integro-differential equations with non-local potentials which depend on the two-body density matrix of the target nucleus. The relationship of the above formulation to the DWIA, the close-coupling method, and the Glauber multiple scattering model is examined. This approach is applied to the elastic and inelastic (2⁺, 4.43 MeV) scattering of 1 GeV nucleons by ¹²C. The corrections to the DWIA are sizeable, and the inelastic scattering appears to be very sensitive to the multi-step contributions and the nuclear structure.     

Nucleons after pion absorption

We calculate energy spectra and angular distributions of single and correlated spectra after the absorption of stopped pions in nuclei. We assume: The pion is abosrbed by a pair of nucleons; these primary nucleons may leave the nucleus directly or only after one or more collisions with other nucleons. We propose a multiple scattering expansion for the intranuclear cascade after pion absorption. Various experimental data are successfully described in shape and absolute magnitude. The ratio R_np = R(π^?np → nn)/R (π^? pp → np) is determined from the experimental proton spectra: R_np = 13 ± 6.     

MULTIPLICITY DISTRIBUTIONS OF PRODUCED PARTICLES IN α-α COLLISIONS AT HIGH ENERGIES

We analyse the multiplicity distributions of negative particles produced in α-α collisions at S_NN=31.2GeV by using a Glauber-type multiple collision model in which the projectile nucleons degrade in energy as they make collisions with target nucleons.The energy loss suffered by the projectile nucleons in the passage through the target nucleus is explicitly considered in the calculation.The agreement with experiments is good.     

Contribution of boundness and motion of nucleons to the EMC effect

The kinematical corrections to the structure function 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.     

Excitation of states of medium-mass nuclei in the region of giant resonances in inelastic deuteron scattering

Results are presented that were obtained by measuring a continuum in the inelastic scattering of 37-MeV deuterons on ¹²C, ⁴⁸Ti, and ^58,64Ni nuclei in the angular range 16° ≤ θ ≤ 61°. Broad excitation maxima are found for deuteron scattering angles in the range θ ≤ 21°. The region of a broad maximum includes giant resonances of target nuclei, whose levels are excited quite readily at E _d = 37 MeV. Summation of the inelastic-scattering cross sections over all final states of the excited| nucleus and the use of completeness of the wave functions for these states make it possible to express the total cross section for inelastic (incoherent) deuteron scattering only in terms of the wave functions for the ground state of the target nucleus. The corresponding quasielastic-scattering amplitude is taken in the diffraction approximation. Nucleon correlations in the target nucleus are disregarded. Upon disregarding a small contribution of multiple quasielastic scattering at small scattering angles, the cross section for incoherent deuteron scattering is represented approximately as the product of known factors—the square of the absolute value of the amplitude for diffractive quasielastic scattering and the effective number of target nucleons scattering deuterons. The results of these calculations agree qualitatively with experimental data.     

Inelastic interactions of fast nucleons with nuclei and fission of nuclei

The cross section for the fission of actinide nuclei that is induced by fast neutrons is considered as a fraction of the cross section for inelastic nucleon interaction with nuclei. In turn, inelastic nucleon interaction with a nucleus is treated as scattering on intranuclear nucleons. It is shown that this interaction model describes satisfactorily the cross section for the inelastic interaction of 60- to 2200-MeV nucleons for a broad set of nuclei and that the energy dependence of the cross section for the fission of actinide nuclei that is induced by 400- to 1000–MeV protons replicates the energy dependence of the cross section for inelastic interactions with respective nuclei. From the model used, it follows that the cross sections for proton-nucleus interactions exceed cross sections for respective neutron-nucleus interactions in the energy range extending up to 550 MeV; at higher energies neutron cross sections are larger than proton cross sections.     

Distorted wave theory of scattering of nucleons with intermediate energies on nuclei

In the context of nonrelativistic theory in the distorted wave approximation, a three-dimensional form of analytical expression for the differential cross section of scattering of nucleons with intermediate energies on atomic nuclei is derived. In the context of this theory, the main parameters of elastic scattering of protons with incident energy of 1 GeV on the ²⁰⁸Pb nucleus are determined. For inelastic scattering of protons with nuclear surface vibrations, giant multipole resonances in the excited nucleus are investigated for the collective nucleus model. The energy losses of the scattered proton are calculated together with the energies of giant dipole and quadrupole resonances and nuclear surface vibration energy. This allows the deformation parameter of the excited nucleus to be calculated.     

Energy losses of high-energy muons and τ-leptons in inelastic scattering by nuclei

A hybrid model is used to calculate the losses of muons and τ-leptons in inelastic scattering by nuclei in water and in ground. The model includes soft and semihard photoprocesses and also hard scattering with an exchange by a γ-photon and a Z₀-boson. In the calculations, nuclear effects, such as shading and antiscreening of nucleons, the EMC effect, and the Fermi motion of nucleons in a nucleus, are considered. The distinction in scattering between a particle and an antiparticle, conditioned by an admixture of a weak neutral current, is discussed. Comparison with other calculations is given. Formulas for the coefficients of energy losses of muons and τ-leptons in water and in ground are obtained which approximate the calculation results over a wide interval of energies: 10²–10⁹ GeV. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 82–86, March, 2006.     

π-Nucleus scattering in the Lee model

The scattering operator of a “pion” on two “nucleons” is evaluated in the Lee model and is shown to be identical to the results of Watson's multiple scattering theory.     

Bremsstrahlung in the nuclear medium: Search for coherence phenomena

Photon angular distributions and energy spectra up to the kinematical limit have been measured in proton reactions with light and heavy targets. For the first time the dependence of photon spectra on scattered protons has been measured to investigate the influence of multiple-scattering processes on the photon production. A strong suppression of bremsstrahlung relative to a quasi-free production model using the free pn bremsstrahlung cross section is observed in the low-energy regime of the photon spectrum in p+nucleus reactions. We attribute this effect to modifications of the bremsstrahlung amplitude in the nuclear medium and to interference of photon amplitudes due to multiple scattering of nucleons.     

Antisymmetrization effects in alpha-nucleus scattering

Antisymmetrization effects in alpha-nucleus scattering are analyzed with respect to the number of nucleons exchanged between the alpha-particle and the nucleus. It turns out that all exchange contributions are essential to reproduce the results of a completely antisymmetrized calculation. Folding model calculations should, therefore, be viewed with caution at low energies. As an example, the backangle anomaly in elastic alpha-nucleus scattering is discussed.