Dirac particles interacting with the improved Frost-Musulin potential within the effective mass formalism

We mainly investigate the dynamics of spin-12 particles with position-dependent mass for the improved Frost-Musulin potential under spin-pseudospin symmetry. First, we find an approximate analytical solution of the Dirac equation both for bound and scattering states under spin-pseudospin symmetry and then we see that the normalized solutions are given in terms of the Gauss hypergeometric functions. In further steps, we analyze our results numerically.