# Relativistic treatment in D-dimensions to a spin-zero particle with noncentral equal scalar and vector ring-shaped Kratzer potential

## TL;DR

This paper analytically solves the Klein-Gordon equation in D-dimensions for a combined Kratzer and ring-shaped potential, deriving exact energy states and wave functions, generalizing previous three-dimensional results.

## Contribution

It provides an exact analytical solution for a relativistic spin-zero particle in D-dimensions with a noncentral potential using the Nikiforov-Uvarov method, extending prior three-dimensional studies.

## Key findings

- Exact energy bound-states derived
- Wave functions explicitly obtained
- Results generalize to higher dimensions

## Abstract

The Klein-Gordon equation in D-dimensions for a recently proposed Kratzer potential plus ring-shaped potential is solved analytically by means of the conventional Nikiforov-Uvarov method. The exact energy bound-states and the corresponding wave functions of the Klein-Gordon are obtained in the presence of the noncentral equal scalar and vector potentials. The results obtained in this work are more general and can be reduced to the standard forms in three-dimensions given by other works.