Relativistic Treatment of Spinless Particles Subject to the Hulthen plus Yukawa Potential with Arbitrary States

Abstract

We have obtained the bound state energy eigenvalues and the corresponding wave functions of the Klein – Gordon particles for the unequal scalar and vector Hulthen plus Yukawa potential.  The generalized parametric form of Nikiforov-Uvarov (NU) method is used in the calculation.  By approximate choice of potential parameters our potential reduces to three well known potentials: Hulthen, Yukawa and Coloumb potentials and their corresponding energies are evaluated. Our results under limiting cases are consistent with those available in the literature. We have also obtained the numerical values of our results.

Keywords: Klein – Gordon equation, Hulthen potential, Yukawa potential, Nikiforov-Uvarov (NU) method.