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Title: Application of a folding-model optical potential to analyzing inelastic pion–nucleus scattering and the in-medium effect on a pion–nucleon amplitude

Abstract

The folding-model optical potential is generalized in such a way as to apply it to calculating the cross sections for inelastic scattering of π{sup ±}-mesons on {sup 28}Si, {sup 40}Ca, {sup 58}Ni, and {sup 208}Pb nuclei at the energies of 162, 180, 226, and 291 MeV leading to the excitation of the 2{sup +} and 3{sup −} collective states. In doing this, use is made of known nucleon-density distributions in nuclei and the pion–nucleon scattering amplitude whose parameters were obtained previously by fitting the elastic scattering cross sections for the same nuclei. Thus, the values of quadrupole (β{sub 2}) and octupole (β{sub 3}) deformations of nuclei appear here as the only adjustable parameters. The scattering cross section is calculated by solving the relativistic wave equation, whereby effects of relativization and distortion in the entrance and exit scattering channels are taken exactly into account. The cross sections calculated in this way for inelastic scattering are in good agreement with respective experimental data. The importance of the inclusion of in-medium effects in choosing parameters of the pion–nucleon amplitude is emphasized.

Authors:
;  [1];  [2]
  1. Joint Institute for Nuclear Research (Russian Federation)
  2. Cairo University (Egypt)
Publication Date:
OSTI Identifier:
22612583
Resource Type:
Journal Article
Journal Name:
Physics of Atomic Nuclei
Additional Journal Information:
Journal Volume: 79; Journal Issue: 6; Other Information: Copyright (c) 2016 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; CALCIUM 40; COLLECTIVE EXCITATIONS; CROSS SECTIONS; DEFORMED NUCLEI; ELASTIC SCATTERING; EXPERIMENTAL DATA; FOLDING MODEL; INELASTIC SCATTERING; LEAD 208; MEV RANGE; NICKEL 58; OCTUPOLES; OPTICAL MODELS; PION-NUCLEON INTERACTIONS; QUADRUPOLES; RELATIVISTIC RANGE; SCATTERING AMPLITUDES; SILICON 28; WAVE EQUATIONS

Citation Formats

Lukyanov, V. K., E-mail: lukyanov@theor.jinr.ru, Zemlyanaya, E. V., Lukyanov, K. V., and Abdul-Magead, I. A. M. Application of a folding-model optical potential to analyzing inelastic pion–nucleus scattering and the in-medium effect on a pion–nucleon amplitude. United States: N. p., 2016. Web. doi:10.1134/S1063778816060156.
Lukyanov, V. K., E-mail: lukyanov@theor.jinr.ru, Zemlyanaya, E. V., Lukyanov, K. V., & Abdul-Magead, I. A. M. Application of a folding-model optical potential to analyzing inelastic pion–nucleus scattering and the in-medium effect on a pion–nucleon amplitude. United States. doi:10.1134/S1063778816060156.
Lukyanov, V. K., E-mail: lukyanov@theor.jinr.ru, Zemlyanaya, E. V., Lukyanov, K. V., and Abdul-Magead, I. A. M. Tue . "Application of a folding-model optical potential to analyzing inelastic pion–nucleus scattering and the in-medium effect on a pion–nucleon amplitude". United States. doi:10.1134/S1063778816060156.
@article{osti_22612583,
title = {Application of a folding-model optical potential to analyzing inelastic pion–nucleus scattering and the in-medium effect on a pion–nucleon amplitude},
author = {Lukyanov, V. K., E-mail: lukyanov@theor.jinr.ru and Zemlyanaya, E. V. and Lukyanov, K. V. and Abdul-Magead, I. A. M.},
abstractNote = {The folding-model optical potential is generalized in such a way as to apply it to calculating the cross sections for inelastic scattering of π{sup ±}-mesons on {sup 28}Si, {sup 40}Ca, {sup 58}Ni, and {sup 208}Pb nuclei at the energies of 162, 180, 226, and 291 MeV leading to the excitation of the 2{sup +} and 3{sup −} collective states. In doing this, use is made of known nucleon-density distributions in nuclei and the pion–nucleon scattering amplitude whose parameters were obtained previously by fitting the elastic scattering cross sections for the same nuclei. Thus, the values of quadrupole (β{sub 2}) and octupole (β{sub 3}) deformations of nuclei appear here as the only adjustable parameters. The scattering cross section is calculated by solving the relativistic wave equation, whereby effects of relativization and distortion in the entrance and exit scattering channels are taken exactly into account. The cross sections calculated in this way for inelastic scattering are in good agreement with respective experimental data. The importance of the inclusion of in-medium effects in choosing parameters of the pion–nucleon amplitude is emphasized.},
doi = {10.1134/S1063778816060156},
journal = {Physics of Atomic Nuclei},
issn = {1063-7788},
number = 6,
volume = 79,
place = {United States},
year = {2016},
month = {11}
}