Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term

TL;DR

This paper derives approximate analytical solutions for the Dirac equation with the Rosen-Morse potential, including spin-orbit effects, providing bound state energies and wavefunctions under spin and pseudospin symmetry frameworks.

Contribution

It presents a novel application of the Nikiforov-Uvarov method to solve the Dirac equation with the Rosen-Morse potential including spin-orbit terms, covering special cases and non-relativistic limits.

Findings

Analytic bound state energy spectra obtained

Wavefunctions for Dirac particles derived

Special cases like Eckart and PT-symmetric potentials analyzed

Abstract

We give the approximate analytic solutions of the Dirac equations for the Rosen-Morse potential including the spin-orbit centrifugal term. In the framework of the spin and pseudospin symmetry concept, we obtain the analytic bound state energy spectra and corresponding two-component upper- and lower-spinors of the two Dirac particles, in closed form, by means of the Nikiforov-Uvarov method. The special cases of the s-wave kappa=1,-1 (l=l bar=0) Rosen-Morse potential, the Eckart-type potential, the PT-symmetric Rosen-Morse potential and non-relativistic limits are briefly studied.