Approximate analytical solutions of scattering states for Klein-Gordon equation with Hulthen potentials for nonzero angular momentum

摘要

In this paper, using the exponential function transformation approach along with an approximation for the centrifugal potential, the radial Klein-Gordon equation with the vector and scalar Hulthen potential is transformed to a hypergeometric differential equation. The approximate analytical solutions of l-waves scattering states are presented. The normalized wave functions expressed in terms of hypergeometric functions of scattering states on the "k/2 pi scale" and the calculation formula of phase shifts are given. The physical meaning of the approximate analytical solution is discussed.