Approximate analytical solutions of the Dirac equation for Yukawa potential plus Tensor Interaction with any $\kappa$-value

TL;DR

This paper derives approximate analytical solutions for the Dirac equation with Yukawa potential and tensor interaction, providing energy eigenvalues and wave functions, and analyzing the impact of tensor interaction on bound states.

Contribution

It presents new approximate analytical solutions for the Dirac equation with Yukawa plus tensor potential for any $ppa$-value, including closed-form energy and wave functions.

Findings

Energy eigenvalue equations are consistent with previous results.

Tensor interaction influences the bound state energies.

Numerical results illustrate the effect of tensor interaction.

Abstract

Approximate analytical solutions of the Dirac equation are obtained for the Yukawa potential plus a tensor interaction with any $\kappa$-value for the cases having the Dirac equation pseudospin and spin symmetry. The potential describing tensor interaction has a Yukawa-like form. Closed forms of the energy eigenvalue equations and the spinor wave functions are computed by using the Nikiforov-Uvarov method. It is observed that the energy eigenvalue equations are consistent with the ones obtained before. Our numerical results are also listed to see the effect of the tensor interaction on the bound states.