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ANALYSIS OF THE PION-NUCLEUS ELASTIC SCATTERING USING THE
MICROSCOPIC OPTICAL POTENTIAL
V.K. Lukyanov 1 , E.V. Zemlyanaya 1 , K.V. Lukyanov 1 , Ali El Lithi 2 ,
Ibrahim Abdulmagead 2 , B. Slowinski 3
1
Joint Institute for Nuclear Research, Dubna, Russia;
2
Cairo University, Giza, Cairo, Egypt;
3
NCNR, Otwock-Swierk, Poland
E-mail: vlukyanov@jinr.ru
The pion-nucleus microscopic optical potential [1], defined by the pion-nucleon amplitude of
scattering and by the density distribution function of a target nucleus, was applied for
numerical solving the relativistic wave equation [2]. So, the elastic scattering differential
cross sections were calculated and fitted to the experimental data of scattering of pions from
the 28 Si,
58
Ni, and 58 Pb nuclei at T lab = 291 MeV [3]. One can stress that doing so the
relativistic and distortions effects in initial and final channels were accounted for
automatically. As the result of such an analysis the best fit set of in-medium parameters of the
pion-nucleon amplitude was established and compared with the corresponding parameters of
the amplitude of scattering of pions on free nucleons.
1. V.K. Lukyanov, E.V. Zemlyanaya, K.V. Lukyanov // JINR Preprint P4-2004-115, Dubna,
2004; Phys.At.Nucl., 2006. V.69. No.2. P.240.
2. V.K. Lukyanov, E.V. Zemlyanaya, K.V. Lukyanov, and K.M. Hanna // Phys. At.
Nucl., 2010. V.73. No.8. P.1443.
3. D.F. Geesaman, et al // Phys. Rev. C, 1981. V.23. No.6. P.2635.
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