Analytical bound state solutions of the Dirac equation with the Hulthén plus a class of Yukawa potential including a Coulomb-like tensor interaction

We examine the bound state solutions of Dirac equation under spin and pseudospin symmetries for a new suggested combined potential, Hulthén plus class Yukawa potential including Coulomb-like tensor interaction. An improved scheme is employed to deal with centrifugal (pseudocentrifugal) term. Using Nikiforov–Uvarov SUSYQM methods, we analytically develop relativistic energy eigenvalues associated spinor components wave functions. find that both methods give entirely same results. Modification our results fit some particular potentials, which are useful in other systems, also discussed. obtain complete agreement findings previous works. The spectra various levels presented absence as well presence coupling. Both spectrums sensitive regard quantum numbers $$\kappa $$ n, parameter $$\delta . notice degeneracies between pseudospin-doublet eigenstate partners completely removed by Finally, present space allowable regions strength $$V_0$$ constants $$C_{S}$$ $$C_{PS}$$ symmetry limits.