The semi-relativistic scattering states of the two-body spinless Salpeter equation with the Varshni potential model

TL;DR

This paper investigates scattering states of the Spinless Salpeter equation with the Varshni potential, deriving phase shifts, energies, and wave functions, and analyzing their dependence on the two-body mass parameter.

Contribution

It provides approximate analytical solutions for scattering states and phase shifts in the Spinless Salpeter equation with the Varshni potential, including the effect of the mass parameter.

Findings

Derived expressions for phase shifts and wave functions.

Analyzed the phase shift behavior with respect to the mass index.

Obtained bound state energies and normalization constants.

Abstract

In this present work, the scattering state solutions of the Spinless Salpeter equation with the Varshni potential model were investigated. The approximate scattering phase shift, normalization constant, bound state energy, wave number and wave function in the asymptotic region were obtained. The behaviour of the phase shift with the two-body mass index {\eta} were discussed and presented.