Approximate spin and pseudospin solutions of the Dirac equation for the inversely quadratic Yukawa potential and tensor interaction

TL;DR

This paper presents approximate analytical solutions to the Dirac equation with an inversely quadratic Yukawa potential and tensor interaction, revealing how tensor forces lift degeneracies in spin and pseudospin doublets.

Contribution

It introduces a novel application of the Nikiforov-Uvarov method to solve the Dirac equation with complex potentials including tensor interactions.

Findings

Tensor interaction removes degeneracies in spin and pseudospin doublets.

Closed-form energy eigenvalues and eigenfunctions are derived.

Numerical results demonstrate the impact of tensor forces on energy levels.

Abstract

We approximately solve the Dirac equation for the inversely quadratic Yukawa (IQY) potential including a Coulomb-like tensor potential with arbitrary spin-orbit coupling quantum number . In the framework of the spin and pseudospin (pspin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions in closed form by using the Nikiforov-Uvarov method. The numerical results show that the Coulomb-like tensor interaction removes degeneracies between spin and pspin state doublets.