Pseudospin and spin symmetry in the relativistic generalized Woods-Saxon potential including Coulomb-like tensor potential

TL;DR

This paper solves the Dirac equation with a generalized Woods-Saxon potential including a Coulomb-like tensor, analyzing bound state energies and wavefunctions under pseudospin and spin symmetry conditions.

Contribution

It provides an approximate analytical solution for bound states in a relativistic potential with tensor interaction, highlighting the effects of potential parameters.

Findings

Bound state energies depend on quantum numbers and potential parameters.

Wavefunctions are expressed in terms of hypergeometric functions.

Numerical results illustrate the influence of tensor potential on energy levels.

Abstract

The Dirac Equation is solved approximately for relativistic generalized Woods-Saxon potential including Coulomb-like tensor potential in exact pseudospin and spin symmetry limits. The bound states energy eigenvalues are found by using wavefunction boundary conditions, and corresponding radial wavefunctions are obtained in terms of hypergeometric function. Some numerical examples are given for the dependence of bound states energy eigenvalues on quantum numbers and potential parameters.