Strong absorption model with antisymmetric S-matrix

We present a strong absorption model with an S-matrix in a new form of an antisymmetrized Fermi distribution for describing diffraction patterns of neutron nucleus scattering at intermediate energies. The proposed antisymmetric S-matrix has a form close to the conventional one and allows to obtain exact analytical expressions for the damping factor that determines the elastic scattering amplitude and the total cross-sections for interaction, reactions and elastic scattering. The use of an antisymmetrized Fermi function instead of the usual Fermi function in successful strong absorption models basically does not notably affect the calculated nucleon-nucleus elastic scattering differential cross-sections in the intermediate energy region.