Approximate relativistic bound states of a particle in Yukawa field with Coulomb tensor interaction

TL;DR

This paper derives approximate solutions for relativistic bound states of a spin-1/2 particle in a Yukawa potential with Coulomb tensor interaction, revealing how tensor coupling influences degeneracies.

Contribution

It introduces a method to analyze relativistic bound states with tensor interactions under spin and pseudospin symmetries using the asymptotic iteration method.

Findings

Tensor interaction lifts degeneracies between spin and pseudospin doublets.

New degenerate doublets emerge for different tensor coupling strengths.

Energy eigenvalues and wave functions are obtained in closed form.

Abstract

We obtain the approximate relativistic bound state of a spin-1/2 particle in the field of the Yukawa potential and a Coulomb-like tensor interaction with arbitrary spin-orbit coupling number k under the spin and pseudospin (p-spin) symmetries. The asymptotic iteration method is used to obtain energy eigenvalues and corresponding wave functions in their closed forms. Our numerical results show that the tensor interaction removes degeneracies between the spin and p-spin doublets and creates new degenerate doublets for various strengths of tensor coupling.