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Analysis is performed of calculations of the elastic scattering differentialcross sections of pions on the $^{28}$Si, $^{40}$Ca, $^{58}$Ni and $^{208}$Pbnuclei at energies from 130 to 290 MeV basing on the microscopic opticalpotential (OP) constructed as an optical limit of a Glauber theory. Such an OPis defined by the corresponding target nucleus density distribution functionand by the elementary $\pi N$ amplitude of scattering. The three (say,"in-medium") parameters of the $\pi N$ scattering amplitude: total crosssection, the ratio of real to imaginary part of the forward $\pi N$ amplitude,and the slope parameter, were obtained by fitting them to the data on therespective pion-nucleus cross sections calculated by means of the correspondingrelativistic wave equation with the above OP. A difference is discussed betweenthe best-fit "in-medium" parameters and the "free" parameters of the $\pi N$scattering amplitudes known from the experimental data on scattering of pionson free nucleons.

Pion-Nucleus Microscopic Optical Potential at Intermediate Energies and In-Medium Effect on the Elementary $\pi N$ Scattering Amplitude