Tensor coupling and relativistic spin and pseudospin symmetries of the Po¨schl–Teller-like potential

Abstract In this research, we have been obtained the Dirac equation for second Po¨schl–Teller-like potential including a Coulomb-like tensor interaction with arbitrary spin–orbit coupling quantum number j. Under the condition of spin and pseudospin (p-spin) symmetries, we use the basic concept of the supersymmetric shape invariance formulism in quantum mechanics and the function analysis method to obtain energy eigenvalues and corresponding two-component spinors of the Dirac particle. We have also shown that tensor interaction removes degeneracies between spin and p-spin doublets. Some numerical results are also given.