Relativistic study of the energy-dependent Coulomb potential including Coulomb-like tensor interaction

TL;DR

This paper solves the Dirac equation with an energy-dependent Coulomb potential and tensor interaction, analyzing spin and pseudospin symmetries using the asymptotic iteration method, providing numerical results under various potential conditions.

Contribution

It introduces an exact solution framework for the Dirac equation with energy-dependent Coulomb and tensor potentials under spin symmetries, employing the asymptotic iteration method.

Findings

Eigenvalues and eigenfunctions derived for different potentials

Numerical results illustrating effects of energy dependence and tensor interaction

Analysis of spin and pseudospin symmetry conditions

Abstract

The exact Dirac equation for the energy-dependent Coulomb (EDC) potential including a Coulomb-like tensor (CLT) potential has been studied in the presence of spin and pseudospin (p-spin) symmetries with arbitrary spin-orbit quantum number The energy eigenvalues and corresponding eigenfunctions are obtained in the framework of asymptotic iteration method (AIM). Some numerical results are obtained in the presence and absence of EDC and CLT potentials.