Interaction of protons with nuclei in the Born approximation (II)

In the framework of the Born approximation, comparison of the previously used approaches, in which analytical expressions for the scattering amplitudes of particles by nuclei were obtained using the expansion of the potential into the series up to the first significant terms, as well as an approach in which such expansion was not performed, are presented. When obtaining analytical expressions for the amplitudes for elastic scattering of protons by nuclei, the second Born approximation with a potential in the Woods-Saxon form, as well as with the potential with a sharp absorption boundary, which was corrected to take into account the blurring of the nuclear surface, are used. Performed theoretical calculations are compared with the available experimental data for the differential cross sections and polarization observables for proton scattering by 40Ca nuclei at 200 MeV energy.