Abstract:

We present the results of calculations of the π-meson elastic and inelastic scattering cross sections on ²⁸Si, ⁴⁰Ca, ⁵⁸Ni, ²⁰⁸Pb nuclei in the range of (3,3) pion-nucleon resonance at energies from 130 to 290 MeV obtained in the framework of the folding optical potential model, in which the parameters of the elementary amplitude of pion scattering on bound nucleons are determined by comparison with experimental data. Then these parameters are compared with those known from the pion scattering on free nucleons, and thus the influence of the nuclear medium on the πN scattering amplitude is established. Also, the elastic scattering cross sections have been calculated within the modified Kisslinger potential model constructed on the basic principles of pion-nucleon interaction in nuclear matter. The region of applicability of both approaches is discussed.

(To be nominated for the JINR Prize 2023.)