Systematic studies of CN cross sections with the optical model applications to the (n, p) excitation function reactions

Abstract

By using the optical model, systematic studies of CN cross sections were carried out and analytical expressions have been deduced for calculating the neutron, proton and alpha reaction cross sections. The new empirical formulae obtained, allow a faster calculation of reaction cross sections in an energy range from threshold to 20 MeV and for target nuclei of mass number 50≤A≤ 100. The choice of optical model parameters is based on the reproduction of experimental differential cross section data of the elastic scattering at angles 0°≤θ≤180°. The systematic behavior of the optical model results was studied before choosing the pertinent dependence on the energy and the mass number, and setting up the reaction cross sections formulae.