Approximate Solutions of the Dirac Equation for the Hua Plus Modified Eckart Potential

The relativistic symmetries of the Dirac equation with Hua plus modified Eckart potential including the generalized tensor interaction are presented. We obtain the energy eigenvalues and the corresponding eigenfunction using parametric Nikiforov–Uvarov method. We compute the bound-state energy spectrum to show the effects of the tensor interaction, and by using an approximate scheme to the centrifugal term, the arbitrary-state solutions are reported and the scattering states are studied. Our results show that the presence of the generalized tensor interaction removes the degeneracies between spin and pseudospin doublets. Some special cases of this potential are also discussed.