Analytical solutions of the Dirac equation under Hellmann-Frost-Musulin potential

The approximate analytical solutions of the Dirac equation with Hellmann-Frost-Musulin potential have been studied by using the generalized parametric Nikiforov-Uvarov (NU) method for arbitrary spin-orbit quantum number k under the spin and pseudospin symmetries. The Hellmann-Frost-Musulin potential is a superposition potential that consists of Yukawa potential, Coulomb potential, and Frost-Musulin potential. As a particular case, we found the energy levels of the non-relativistic limit of the spin symmetry. The energy equation of Yukawa potential, Coulomb potential, Hellmann potential and Frost-Musulin potential are obtained. Energy values are generated for some diatomic molecules.