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

Journal Article · Tue Nov 15 04:00:00 EST 2016 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778816060156· OSTI ID:22612583

Zemlyanaya, E. V.; Lukyanov, K. V. ^[1]; Abdul-Magead, I. A. M. ^[2]

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1. Joint Institute for Nuclear Research (Russian Federation)
2. Cairo University (Egypt)

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.

• OSTI ID: 22612583
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 6 Vol. 79; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

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