Elastic Scattering of Proton from Oxygen at Astrophysical Energies

Abstract

The nuclear half of the interaction is defined by the Manning-Rosen potential, and the electromagnetic part by the Hulthén potential, in order to characterise the nucleon-nucleus elastic scattering. The regular solution of the relevant equation is built using an adaptation of the Frobenius approach. The associated Jost function is derived from its integral representation in terms of regular solution. Estimates of scattering phase shifts and differential cross sections for proton-oxygen system are made by exploiting the Jost function. The same physical observables are also calculated numerically by exploiting the Ricatti type equation. Our findings are in fair agreement with the earlier theoretical and experimental data.