Tensor coupling and relativistic spin and pseudospin symmetries with the Hellmann potential

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The Hellmann potential is a superposition potential that consists of an attractive Coulomb potential −a/r and Yukawa potential be −δr/r. By using the generalized parametric Nikiforov–Uvarov method, we have studied the approximate analytical solutions of the Dirac equation with the Hellmann potential including a Coulomb-like tensor potential for arbitrary spin–orbit quantum number, κ, under the presence of exact spin and pseudospin (p-spin) symmetries. We show that tensor interaction removes degeneracies between spin and p-spin doublets. As particular cases, we found the energy levels of the nonrelativistic case and also the pure Coulomb potential energy levels.