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Title: Analysis of nucleon-nucleus scattering in terms of a microscopic optical potential based on effective Skyrme forces

Abstract

On the basis of a microscopic optical potential calculated by using effective Skyrme type forces with allowance for the rearrangement potential, nucleon scattering on even-even nuclei is analyzed in the region of intermediate energies. The volume integrals and root-mean-square radii of nucleon-nucleus optical potentials are calculated along with the energy dependences of the total reaction cross sections for neutron-and proton-nucleus interaction and of the differential cross sections for elastic neutron scattering at several energy values for various target nuclei. The results of these calculations are compared with experimental data, and it is shown that a reasonable description of these data can in principle be obtained within the model being considered.

Authors:
;  [1];  [2]
  1. Kharkov Institute for Physics and Technology (Ukraine), E-mail: vpilipenko@kipt.kharkov.ua
  2. Academy of Civil Safety of Ukraine (Ukraine)
Publication Date:
OSTI Identifier:
21076146
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 69; Journal Issue: 1; Other Information: DOI: 10.1134/S1063778806010029; Copyright (c) 2006 Nauka/Interperiodica; Article Copyright (c) 2006 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMPUTER CALCULATIONS; DIFFERENTIAL CROSS SECTIONS; ELASTIC SCATTERING; ENERGY DEPENDENCE; EVEN-EVEN NUCLEI; NEUTRON DIFFRACTION; NEUTRONS; PROTON-NUCLEON INTERACTIONS; SKYRME POTENTIAL; TOTAL CROSS SECTIONS

Citation Formats

Kuprikov, V. I., Pilipenko, V. V., and Soznik, A. P. Analysis of nucleon-nucleus scattering in terms of a microscopic optical potential based on effective Skyrme forces. United States: N. p., 2006. Web. doi:10.1134/S1063778806010029.
Kuprikov, V. I., Pilipenko, V. V., & Soznik, A. P. Analysis of nucleon-nucleus scattering in terms of a microscopic optical potential based on effective Skyrme forces. United States. doi:10.1134/S1063778806010029.
Kuprikov, V. I., Pilipenko, V. V., and Soznik, A. P. Sun . "Analysis of nucleon-nucleus scattering in terms of a microscopic optical potential based on effective Skyrme forces". United States. doi:10.1134/S1063778806010029.
@article{osti_21076146,
title = {Analysis of nucleon-nucleus scattering in terms of a microscopic optical potential based on effective Skyrme forces},
author = {Kuprikov, V. I. and Pilipenko, V. V. and Soznik, A. P.},
abstractNote = {On the basis of a microscopic optical potential calculated by using effective Skyrme type forces with allowance for the rearrangement potential, nucleon scattering on even-even nuclei is analyzed in the region of intermediate energies. The volume integrals and root-mean-square radii of nucleon-nucleus optical potentials are calculated along with the energy dependences of the total reaction cross sections for neutron-and proton-nucleus interaction and of the differential cross sections for elastic neutron scattering at several energy values for various target nuclei. The results of these calculations are compared with experimental data, and it is shown that a reasonable description of these data can in principle be obtained within the model being considered.},
doi = {10.1134/S1063778806010029},
journal = {Physics of Atomic Nuclei},
number = 1,
volume = 69,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}
  • A model of a deuteron-nucleus (dA) optical potential is developed. The real and imaginary parts of this potential were determined from the calculation of the mass operator in the respective Green's function by perturbation theory on the basis of effective nuclear-density-dependent nucleon-nucleon (NN) Skyrme forces and with allowance for the rearrangement potential. Radial and energy dependences of various components of the dA potential were studied in the calculations with various versions of Skyrme forces. The presentmodel was applied to analyzing differential cross sections for elastic deuteron scattering on nuclei over a broad range of mass numbers at various energies andmore » total cross sections for dA reactions. A reasonable description of respective experimental data was obtained.« less
  • The possibility of constructing such new versions of effective nucleon-nucleon forces that would make it possible to describe simultaneously the cross sections for nucleon-nucleus scattering and quantities characterizing nuclear matter and the structure of finite even-even nuclei is investigated on the basis of a microscopic nucleon-nucleus optical potential that is calculated by using effective Skyrme interaction. A procedure for optimizing the parameters of Skyrme forces by employing fits to specific angular distributions for neutron-nucleus scattering and by simultaneously testing the features of nuclear matter, the binding energy of the target nucleus, and its proton root-mean-square radius is proposed. A numbermore » of versions of modified Skyrme forces that ensure a reasonable description of both nucleon-nucleus scattering and the properties of nuclear structure are found on the basis of this procedure.« less
  • Within the nuclear-matter approximation, the local-density approximation, and perturbation theory, an approach to constructing a microscopic nucleon-nucleus optical potential at finite nuclear temperatures is developed on the basis of effective density-dependent nucleon-nucleon forces. The real and the imaginary part of the neutron-nucleus optical potential and the mean free paths of neutrons in nuclear matter are calculated at various neutron energies and various nuclear temperatures. The effect of the inclusion of the rearrangement potential on the quantities under consideration is studied, and its importance is demonstrated.
  • Microscopic optical model potentials, based on density-dependent effective interactions, involve multidimensional integrals to account for the full Fermi motion of the target struck nucleon throughout the nucleus. If a spherical matter distribution is assumed, then each matrix element of the optical potential requires the evaluation of seven-dimensional integrals. In this work we provide a full account of these integrals, retaining the genuine off-shell structure of the nucleon-nucleon effective interaction. The evaluation is based on the asymptotic separation of the optical model potential for nucleon-nucleus scattering in momentum space, where the potential is split into a free t-matrix contribution and anothermore » which depends exclusively on the gradient of the density-dependent g matrix. The calculated potentials, based on the Paris nucleon-nucleon (NN) potential, are applied to proton elastic scattering from {sup 16}O and {sup 90}Zr at beam energies between 30 and 65 MeV. The results were compared with two approximations to the unabridged expression, revealing moderate differences among their scattering observables. When comparing with results based on the Argonne v{sub 18} NNpotential, these differences appear smaller than those attainable by the choice of the internucleon potential.« less
  • The real part and the imaginary part of the optical potential and their volume integrals per nucleon for /sup 40/Ca and /sup 208/Pb are calculated on the basis of the modified Skyrme forces with the t/sub 3/ rho/sup ..cap alpha../ term (..cap alpha..<1) which was developed recently. The calculated results and their comparison with the phenomenological optical potential and empirical values show that the nuclear force parameters of SKa and SKb are the best, SGI is the next, and the others are rather bad.