On Dirac equation for a Coulomb scalar, vector, and tensor interaction

TL;DR

This paper critiques a recent study on the Dirac equation with Coulomb interactions, clarifying that the previously reported exact solutions for energy eigenvalues under spin and pseudo-spin symmetry are incorrect.

Contribution

It provides a correction to the previous work by demonstrating the inaccuracies in the reported eigenvalues for the Dirac equation with Coulomb interactions.

Findings

Previous solutions for energy eigenvalues were incorrect

Corrected eigenvalues are provided in this paper

Highlights importance of proper solution methods for Dirac equations

Abstract

In their recent paper (Inter. J. Mod. Phys. A 26 (2011) 1011), Zarrinkamar and coauthors have considered the radial Dirac equation for a Coulomb scalar, vector and tensor interaction. The exact solutions for the energy eigenvalues they have reported for spin-symmetry and pseudo-spin symmetry were mishandled and are incorrect eigenvalues, therefore.