Relativistic symmetries in the Hulth\'en scalar-vector-tensor interactions

TL;DR

This paper derives approximate analytical solutions for the Dirac equation with Hulth'en scalar-vector-tensor potentials under spin and pseudospin symmetries, highlighting how tensor interactions influence degeneracies.

Contribution

It introduces a novel application of the Nikiforov-Uvarov method to solve the Dirac equation with Hulth'en tensor interactions, extending previous models to include tensor effects.

Findings

Tensor interaction removes degeneracies between spin and p-spin doublets

Analytical bound state solutions are obtained for arbitrary spin-orbit coupling

Numerical results illustrate the impact of tensor interactions on energy levels

Abstract

In the presence of spin and pseudospin (p-spin) symmetries, the approximate analytical bound states of the Dirac equation for scalar-vector-tensor Hulth\'en potentials are obtained with any arbitrary spin-orbit coupling number using the Pekeris approximation. The Hulth\'en tensor interaction is studied instead of the commonly used Coulomb or linear terms. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy eigenvalues and corresponding wave functions in their closed forms. We show that tensor interaction removes degeneracies between spin and p-spin doublets. Some numerical results are also given.