Approximate solutions of the Dirac equation with Coulomb-Hulthén-like tensor interaction

Abstract The solutions of spin and pseudospin symmetries with Trigonometric scarf potential are obtained in the presence of a new tensor interaction which breaks down the energy degeneracies in both symmetries leading to atomic stability. The nonrelativistic equation is obtained by taking the nonrelativistic limit of the spin symmetry. A simplified condition for energy equation for Formula method for special case is also given. Finally, we calculated Fisher information for both position and momentum spaces which can be used to determine the accuracy of predicting the localization of a particle.