Analytical Solutions of the Dirac Equation with Effective Tensor Potential

The analytical solutions of the Dirac equation under spin and pseudospin symmetries with a Hellmann-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 potential on the energy degeneracy in both the spin and pseudospin symmetries has been investigated in detail. The Hellmann like tensor potential removes the energy degeneracies completely in both the spin and pseudospin symmetries. The popular Coulomb tensor and Yukawa tensor were also deduced from the Hellmann tensor potential.