Relativistic symmetries in Rosen-Morse potential and tensor interaction using the Nikiforov-Uvarov method

TL;DR

This paper derives approximate analytical solutions for the Dirac equation with Rosen-Morse and Coulomb-like tensor potentials, revealing how tensor interactions lift degeneracies in spin and pseudospin doublets using the Nikiforov-Uvarov method.

Contribution

It introduces a novel application of the Nikiforov-Uvarov method to solve the Dirac equation with combined Rosen-Morse and tensor potentials under spin and pseudospin symmetries.

Findings

Tensor interaction removes degeneracies between spin and pseudospin doublets.

Analytical expressions for energy eigenvalues and wave functions are obtained.

The Pekeris approximation effectively handles spin-orbit coupling in this context.

Abstract

Approximate analytical bound-state solutions of the Dirac particle in the field of both attractive and repulsive RM potentials including Coulomb-like tensor (CLT) potential are obtained for arbitrary spin-orbit quantum number The Pekeris approximation is used to deal with the spin-orbit coupling terms In the presence of exact spin and pseudospin (p-spin) symmetries, the energy eigenvalues and the corresponding normalized two-component wave functions are found by using the parametric generalization of the Nikiforov-Uvarov (NU) method. The numerical results show that the CLT interaction removes degeneracies between spin and p-spin state doublets.