Relativistic new Yukawa-like potential and tensor coupling

TL;DR

This paper derives approximate solutions to the Dirac equation with a generalized inverse quadratic Yukawa potential and tensor interaction, revealing how tensor coupling lifts degeneracies in spin and pseudospin states.

Contribution

It introduces a new generalized inverse quadratic Yukawa potential and provides analytical solutions including tensor interactions, extending previous models in relativistic quantum mechanics.

Findings

Tensor interaction removes degeneracies between spin and pseudospin doublets.

Solutions reduce to Schrödinger form under exact spin symmetry.

Numerical results support the theoretical findings.

Abstract

We approximately solve the Dirac equation for a new suggested generalized inversely quadratic Yukawa (GIQY) potential including a Coulomb-like tensor interaction with arbitrary spin-orbit coupling quantum number In the framework of the spin and pseudospin (p-spin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions, in closed form, by using the parametric Nikiforov-Uvarov (NU) method. The numerical results show that the Coulomb-like tensor interaction, removes degeneracies between spin and p-spin state doublets. The Dirac solutions in the presence of exact spin symmetry are reduced to Schr\"odinger solutions for Yukawa and inversely quadratic Yukawa potentials.