Analytical Solutions of the Dirac Equation with Effective Tensor Potential

Abstract

The analytical solutions of the Dirac equation under spin and pseudospin symmetries with aHellmann-like tensor potential for a class of Yukawa potential is studied via supersymmetric (SUSY)quantum mechanics (QM). The effect of Hellmann like tensor potential which is a new tensor po-tential on the energy degeneracy in both the spin and pseudospin symmetries has been investigatedin detail. The Hellmann like tensor potential removes the energy degeneracies completely in boththe spin and pseudospin symmetries. The popular Coulomb tensor and Yukawa tensor were alsodeduced from the Hellmann tensor potential.