Study of elastic and inelastic pion-nucleus scattering using the microscopic model of optical potential

Abstract

The pion-nucleus microscopic optical potential (OP), defined by the pion-nucleon scattering amplitude and by the generalized density distribution of a target nucleus that incudes internal degrees of freedom, is applied to construct the pion-nucleus differential cross-sections of elastic and inelastic scattering on the nuclei 28 Si, 58 Ni, 208 Pb at T lab = 291 MeV. Calculations are based on the relativistic wave equation and thus relativistic effects and distortions on the relative motion wave functions are taken into account. The respective experimental data are analyzed and the in-medium parameters of the elementary πN -amplitude are established and compared with those from the pion scattering on free nucleons.