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

In this research, we have been obtained theDirac equation for second Po¨schl–Teller-like potentialincluding a Coulomb-like tensor interaction with arbitraryspin–orbit coupling quantum number j. Under the conditionof spin and pseudospin (p-spin) symmetries, we usethe basic concept of the supersymmetric shape invarianceformulism in quantum mechanics and the function analysismethod to obtain energy eigenvalues and correspondingtwo-component spinors of the Dirac particle. We have alsoshown that tensor interaction removes degeneraciesbetween spin and p-spin doublets. Some numerical resultsare also given.