Tensor coupling and relativistic spin and pseudospin symmetries of the PöschlâTeller-like potential

Abstract

AbstractIn this research, we have been obtained the Dirac equation for second PöschlâTeller-like potential including a Coulomb-like tensor interaction with arbitrary spinâorbit coupling quantum number κ. 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.