Cross section analysis of neutron-light nuclei systems using Modified Pöschl–Teller potential

The regular and irregular/Jost solutions of the Schrödinger equation with the Modified Pöschl–Teller potential are presented by implementing the differential equation technique to the problem. In this work the said potential is parameterized for nuclear systems by exploiting Jost formalism to estimate bound state energies and the scattering phase shifts. The results are in line with previous theoretical and experimental observations. The total elastic scattering cross sections are being calculated using the phase parameters.