Scattering with Manning–Rosen potential in all partial waves

Abstract Ordinary differential approach together with certain properties of Gaussian hypergeometric functions is exploited to construct exact analytical expressions for regular and irregular solutions in all partial waves for motion in Manning–Rosen potential. The Jost function thus obtained from the near the origin behaviour of the irregular solution is used appropriately to compute scattering phase shifts for the neutron-proton and neutron–deuteron systems for few lower partial waves. Our results are in good agreement with experimental data.