The effect of tensor interaction in splitting the energy levels of relativistic systems

TL;DR

This paper analytically solves the Dirac equation with specific potentials and tensor interactions, exploring energy level splitting in relativistic systems under spin and pseudo-spin symmetry, using the Nikiforov-Uvarov method.

Contribution

It introduces an analytical approach to solve the Dirac equation with Eckart and Hulthen potentials including tensor interactions, providing new insights into energy level splitting.

Findings

Numerical results confirm the model's accuracy in both symmetry limits.

Energy eigenvalues and wave functions are explicitly derived.

Tensor interactions significantly influence energy level splitting.

Abstract

In this paper we solve analytically Dirac equation for Eckart plus Hulthen potentials with Coulomb-like and Yukawa-like tensor interaction in the presence of Spin and Pseudo-spin Symmetry for any k number. The Parametric Nikiforov-Uvarov method is used to obtain the energy Eigen-values and wave functions. We also discuss the energy Eigen-values and the Dirac spinors for the Eckart plus Hulthen potentials for the spin and pseudo-spin symmetry with PNU method. To show the accuracy of the present model, some numerical results are shown in both pseudo-spin and spin symmetry limits.