Analytical approximations to the arbitrary l-wave bound state solutions of the Klein-Gordon equation for the Manning-Rosen potential

Abstract

The Klein-Gordon equation of equal scalar and vector Manning-Rosen potentials with the centrifugal term is investigated in the spherical coordinates. Using a proper exponential approximate approach，the radial Klein-Gordon equation with the centrifugal term is transformed to the hypergeometric differential equation，and the analytical bound state radial wave functions of the arbitrary l-wave Klein-Gordon equation are obtained. Finally，two special cases for l=0 and α=0 or 1 are discussed briefly.