Scattering of vector bosons by an asymmetric Hulthen potential

Abstract

Exact solutions for the bound and scattering states of the spatially one-dimensional Duffin–Kemmer–Petiau equation for an asymmetric Hulthen potential are obtained in terms of the hypergeometric functions. These solutions are used to derive conditions for the existence of the transmission resonances. From this investigation, we show how the transmission coefficient depends on the energy of the particle and the strength of the potential barrier.