Approximate Relativistic Bound State Solutions of the Tietz-Hua Rotating Oscillator for Any kappa-State

Approximate analytical solutions of the Dirac equation with Tietz-Hua (TH) potential are obtained for arbitrary spin-orbit quantum number kappa using the Pekeris approximation scheme to deal with the spin-orbit coupling terms kappa(kappa +/- 1)r (-2). In the presence of exact spin and pseudo-spin symmetric limitation, the bound state energy eigenvalues and associated two-component wave functions of the Dirac particle moving in the field of attractive and repulsive TH potential are obtained using the parametric generalization of the Nikiforov-Uvarov method. The cases of the Morse potential, the generalized Morse potential and non-relativistic limits are studied.