Spinless particles with unequal Scalar-Vector Yukawa interactions

TL;DR

This paper analytically solves the Klein-Gordon equation for spin-zero particles in a Yukawa potential with unequal scalar and vector components, revealing interdimensional degeneracies and energy dependencies.

Contribution

It provides explicit energy spectra and wave functions for KG bosons in an unequal scalar-vector Yukawa potential using the NU method, including interdimensional degeneracy analysis.

Findings

Existence of interdimensional degeneracy among energy states.

Explicit energy spectra and wave functions derived.

Numerical discussion of energy dependence on spatial dimensions.

Abstract

We present analytical solutions of the spin-zero Klein-Gordon (KG) bosons in the field of unequal mixture of scalar and vector Yukawa potential within the framework of the approximation to the centrifugal potential term for any arbitrary -state. The explicit forms of the energy bound states including energy spectra and unnormalized wave functions are obtained using a simple shortcut of the Nikiforov-Uvarov (NU) method. Our numerical tests using energy calculations demonstrate the existence of inter dimensional degeneracy amongst energy states of the present quantum system consisting of the KG-Yukawa problem. The dependence of the energy on the dimension is numerically discussed for