• On the p−$^2$H$_1$ and p−$^{16}$O elastic scattering

• Fulltext

https://www.ias.ac.in/article/fulltext/pram/095/0209

• Keywords

Schrödinger equation; Manning–Rosen plus non-local potential; Jost function; Fredholm determinant; scattering phase shifts.

• Abstract

We solve the wave equation with the Manning–Rosen plus rank one separable non-local potential to obtain exact analytical solutions through ordinary differential equation method. The regular, Jost and physical state solutions are found to involve special functions of mathematics. As an application of the Jost function and Fredholm determinant, the bound-state energies and the scattering phase parameters for the p−$^2$H$_1$ and p−$^{16}$O systems are computed. The results achieved are in good agreement with the other methods published earlier.

• Author Affiliations

1. Department of Physics, National Institute of Technology, Jamshedpur 831 014, India

• Pramana – Journal of Physics

Volume 96, 2022
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