Effect of Tensor Interaction in the Dirac-Attractive Radial Problem under Pseudospin Symmetry limit

TL;DR

This paper investigates how tensor interactions influence pseudospin symmetry in the Dirac equation with an attractive radial potential, deriving energy solutions and showing tensor interactions lift degeneracies in pseudospin doublets.

Contribution

It introduces a parametric Nikiforov-Uvarov method to solve the Dirac equation with tensor interactions under pseudospin symmetry, providing analytical energy eigenvalues and wave functions.

Findings

Tensor interaction removes degeneracy in pseudospin doublets

Analytical solutions for energy eigenvalues and wave functions obtained

Numerical results support the analytical findings

Abstract

We approximately investigated pseudospin symmetric solutions of the Dirac equation for attractive radial potential including a Coulomb-like tensor interaction under pseudospin symmetry limit for any spin-orbit quantum number . By using the parametric generalization of the Nikiforov-Uvarov method, the energy eigenvalues equation and the corresponding wave functions have been obtained in closed forms. Some numerical results are also given. We presented tensor interaction removes degeneracy between two states in pseudospin doublets.