The energy eigenvalues of Dirac equation with the modified Eckart and modified deformed Hylleraas potential by shape invariance approach

摘要

By using the supersymmetry quantum mechanics method, we approximately solve the Dirac equation for the modified Eckart potential and the modified deformed Hylleraas including Coulomb-like tensor potential under spin and pseudospin symmetry. We obtained approximate energy eigenvalues and the corresponding wave functions in terms of the Jacobi polynomial under the spin and pseudospin symmetries limit. In order to test the accuracy of our work, we compared our numerical results with that Nikiforov-Uvarov (NU) method. This shows that our results are consistent with those found in the literature.