On- and off-shell Jost functions for the Manning-Rosen potential

Abstract

The s-wave on-shell Jost solution for the Manning-Rosen potential is constructed via the ordinary differential equation approach to the problem. The corresponding off-shell Jost function is calculated by using the integral representation of the off-shell Jost function in a single channel scattering. The half off-shell T- matrix is obtained from the knowledge of the off-shell Jost function. Our constructed expressions for the Jost functions are applied to compute T-matrix, quasi-elastic phase shifts and the scattering phase shifts for the nuclear systems.

On the $$\text{p}{-}^{{2}}\text{H}_{{1}} $$ and $$\text{p}{-}^{{16}}\text{O}\,$$ elastic scattering

“…M (s, s ) stand for the regular solution and Green's function [33][34][35]41] for the Manning-Rosen potential,…”

“…However, the numbers of exactly solvable problems are limited in quantum mechanics. Recently, we have studied nuclear systems considering the Manning-Rosen potential [32] as the nuclear interaction and achieved excellent agreement both in bound and scattering state data [33][34][35][36]. Motivated by this, we use the Manning-Rosen potential as a short-range electromagnetic interaction and Pramana -J. Phys.…”

Low and intermediate energy cross section analysis of p-p and p-d elastic scattering using modified phase amplitude method for electromagnetic distorted nuclear interaction

“…In this context, the MR potential, a three parameter one [21][22][23][24][25][26], excellently describes the diatomic interaction in molecular physics. This special Eckart type potential [27] also satisfactorily serves as a model for the nuclear interaction [3,26,28,29]. Here we shall use this potential as a short-range electromagnetic interaction adding to Graz separable potential to compute charged hadron scattering phase parameters.…”