Modeling of a microscopic optical pion-nucleon potential at energies in the (3, 3)-resonance region and nuclear-matter effect on the pion-nucleon amplitude

Modeling of a microscopic optical pion-nucleon potential at energies in the (3, 3)-resonance region and nuclear-matter effect on the pion-nucleon amplitude

Differential cross sections for elastic pion scattering on a number of nuclei at energies between 130 and 290 MeV are calculated. For this purpose, use is made of a microscopic optical pion-nucleus potential that was obtained on the basis of the Glauber theory of high-energy scattering and which is...

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Veröffentlicht in:Physics of atomic nuclei 2014, Vol.77 (1), p.100-109
Hauptverfasser: Lukyanov, V. K., Zemlyanaya, E. V., Lukyanov, K. V., Zhabitskaya, E. I., Zhabitsky, M. V.
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Particle and Nuclear Physics
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Physics and Astronomy
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container_end_page 109
container_issue 1
container_start_page 100
container_title Physics of atomic nuclei
container_volume 77
creator Lukyanov, V. K.
Zemlyanaya, E. V.
Lukyanov, K. V.
Zhabitskaya, E. I.
Zhabitsky, M. V.
description Differential cross sections for elastic pion scattering on a number of nuclei at energies between 130 and 290 MeV are calculated. For this purpose, use is made of a microscopic optical pion-nucleus potential that was obtained on the basis of the Glauber theory of high-energy scattering and which is determined by the density distribution of pointlike target nucleons and by the pion-nucleon scattering amplitude. The calculation of the cross sections in question is based on solving the respective relativistic wave equation. Three parameters of the pion-nucleon amplitude are fitted in performing a comparison with experimental data. These are the total cross section for pion-nucleon scattering, the ratio of the real to the imaginary part of the forward pion-nucleon scattering amplitude, and the slope parameter. The resulting values of these parameters are then compared with their counterparts for scattering on free nucleons. The character of nuclear-matter-induced changes in these parameters is studied.
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Particle and Nuclear Physics
Physics
Physics and Astronomy
title Modeling of a microscopic optical pion-nucleon potential at energies in the (3, 3)-resonance region and nuclear-matter effect on the pion-nucleon amplitude
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