Approximate -state Solutions to the Dirac Mobius Square-Yukawa and Mobius Square-quasi Yukawa Problems under Pseudospin and Spin Symmetry limits with Coulomb-like Tensor Interaction

TL;DR

This paper derives approximate solutions to the Dirac equation with Mobius-square-Yukawa and quasi Yukawa potentials, incorporating tensor interactions under pseudospin and spin symmetry limits, using supersymmetry methods.

Contribution

It introduces a novel approach to solving the Dirac equation with complex potentials under specific symmetry limits, extending previous models with new analytical solutions.

Findings

Energy eigenvalues derived for the potential models.

Wave functions corresponding to the solutions obtained.

Reduction to known potentials like Deng-Fan, Yukawa, and Coulomb.

Abstract

In this paper, we present the Dirac equation for the Mobius-square-Yukawa potentials including the tensor interaction term within the framework of pseudospin and spin symmetry limit with arbitrary spin-orbit quantum number . We obtained the energy eigenvalues and the corresponding wave functions using the supersymmetry method. The limiting cases of this potential model reduce to the Deng-Fan, Yukawa and Coulomb potentials, respectively