Eur. Phys. J. Plus (2017) 132: 277
https://doi.org/10.1140/epjp/i2017-11549-x

Regular Article

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

¹ Department of Physics, Federal University Oye-Ekiti, Oye-Ekiti, Ekiti State, Nigeria
² Theoretical Physics Section, Department of Physics, University of Ilorin, Ilorin, Nigeria

^* e-mail: oluwatimilehin.oluwadare@fuoye.edu.ng

Received: 27 February 2017
Accepted: 12 May 2017
Published online: 26 June 2017

Abstract

In the present work, the scattering state solutions of the spinless Salpeter equation with the Varshni potential model are investigated. The approximate scattering phase shift, normalization constant, bound state energy, wave number and wave function in the asymptotic region are obtained. The behaviour of the orbital angular momentum number dependent phase shift with the equal and unequal masses combination are discussed. An expression for the total cross-section is also derived.