Analysis of sensitivity of cross section and zero-angle scattering amplitude to structure of nuclear optical potential for intermediate energy nucleons and antinucleons

Total cross section, reaction cross section and the real of the forward scattering amplitude for nucleons and antinucleons in the energy range from 50 to 200 MeV are calculated for a wide set of nuclei by means of the optical model with phenomenological optical potentials which describe the elastic scattering. It is shown that for substantialy different radial dependences of the part of the optical potential (the Woods-Saxon potential and the ''wine-bottle'' potential) the real parts of the proton forward scattering amplitude are different by a factor of several times, while the differences in the total cross sections and in the reaction cross sections do not exceed a few dozen percent. The calculations have been performed in the first order of the perturbation theory in a deviation of the incident particle wave function from the eikonal approximation. A comparison between the results of the aproximate and exact calculations shows that in the considered energy region an error of the approximation does not exceed 10%. The results have been compared with the Glauber theory for the antiproton reaction cross sections on light nuclei