Solutions of Dirac equation with generalized Mobius square plus generalized Yukawa potential (MSPGYP) including generalized tensor interaction

Abstract

An Approximate bound state solutions of the Dirac equation under the spin and pseudospin symmetries for the generalized Mobius square plus generalized Yukawa potential (MSPGYP), including generalized tensor interaction was examined. With the help of the Nikiforov-Uvarov functional analysis (NUFA) method and an approximation scheme, the analytical and numerical energies and the corresponding wave functions of the combined potential were obtained for both symmetries, for different quantum numbers. Degeneracies were observed in the energy values in the absence of the generalized tensor interaction and these degeneracies were removed with the help of the generalized tensor interaction. The variations of the energies for spin and pseudospin symmetries were studied for various values of the quantum numbers. Our study shows that the relativistic energies obtained are very sensitive to the quantum numbers. Relativistic and nonrelativistic thermodynamic properties evaluation was carried out for pseudospin symmetry. The effect of the temperature dependent parameter was seen to be very strong on the thermodynamic properties considered.