Simple functional forms for total and total reaction cross sections from nucleon-nucleus collisions

Total cross sections for neutron scattering with energies between 10 and 600 MeV and from nine nuclei spanning the mass range from Li-6 to U-238 have been analyzed using a simple function of three parameters. The values of those parameters with which neutron total cross-section data are replicated vary smoothly with energy and target mass and may themselves be represented by functions of energy (and of mass). With the function for Pb-208, addition of the Ramsauer-like effects with a simple model then provides an excellent fit to the total cross section from 5 to 600 MeV.