Approximate analytical solutions of Dirac Equation with spin and pseudo spin symmetries for the diatomic molecular potentials plus a tensor term with any angular momentum

TL;DR

This paper derives approximate analytical solutions for the Dirac equation with diatomic molecular potentials, tensor interactions, and spin/pseudospin symmetries, providing energy eigenvalues and wave functions, and analyzing tensor effects numerically.

Contribution

It presents a novel algebraic method to obtain closed-form energy eigenvalues and wave functions for the Dirac equation with complex potentials and tensor interactions.

Findings

Energy eigenvalue equations in closed form

Wave functions for spinor solutions

Numerical analysis of tensor interaction effects

Abstract

Approximate analytical solutions of the Dirac equation are obtained for some diatomic molecular potentials plus a tensor interaction with spin and pseudospin symmetries with any angular momentum. We find the energy eigenvalue equations in the closed form and the spinor wave functions by using an algebraic method. We also perform numerical calculations for the P\"oschl-Teller potential to show the effect of the tensor interaction. Our results are consistent with ones obtained before.