Bound state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry

TL;DR

This paper derives the energy spectra and wavefunctions of the Dirac equation with the Rosen-Morse potential under spin and pseudospin symmetry, using supersymmetric quantum mechanics and standard methods, providing solutions for s-wave states and extending to other cases.

Contribution

It presents new analytical solutions for the Dirac equation with Rosen-Morse potential under spin and pseudospin symmetry, including s-wave states and potential extensions to higher angular momentum states.

Findings

Analytical energy spectra and wavefunctions for s-wave states obtained.

Solutions under both spin and pseudospin symmetry conditions derived.

Extension to non-zero angular momentum states suggested.

Abstract

The energy spectra and the corresponding two- component spinor wavefunctions of the Dirac equation for the Rosen-Morse potential with spin and pseudospin symmetry are obtained. The $s-$wave ($\kappa = 0$ state) solutions for this problem are obtained by using the basic concept of the supersymmetric quantum mechanics approach and function analysis (standard approach) in the calculations. Under the spin symmetry and pseudospin symmetry, the energy equation and the corresponding two-component spinor wavefunctions for this potential and other special types of this potential are obtained. Extension of this result to $\kappa \neq 0$ state is suggested.