Exact Spin and Pseudo-Spin Symmetric Solutions of the Dirac-Kratzer Problem with a tensor potential via Laplace Transform Approach

TL;DR

This paper derives exact solutions for the Dirac equation with Kratzer and tensor potentials under spin and pseudo-spin symmetry, providing analytical energy spectra and numerical results that align with existing literature.

Contribution

It introduces a Laplace transform method to obtain closed-form solutions for the Dirac-Kratzer problem with tensor potential under spin and pseudo-spin symmetry, including relativistic and non-relativistic cases.

Findings

Analytical energy spectra in closed form

Results agree with existing literature

Numerical tables for various parameters

Abstract

Exact bound state solutions of the Dirac equation for the Kratzer potential in the presence of a tensor potential are studied by using the Laplace transform approach for the cases of spin- and pseudo-spin symmetry. The energy spectra is obtained in the closed form for the relativistic as well as non-relativistic cases including the Coulomb potential. It is seen that our analytical results are in agrement with the ones given in literature. The numerical results are also given in a table for different parameter values.