Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Hellmann Potential and Yukawa-Like Tensor Interaction

摘要

The Dirac equation was solved for the Manning-Rosen plus Hellmann potential including a Yukawa-like tensor potential with arbitrary spin-orbit coupling quantum number κ. In the framework of the spin and pseudospin (pspin) symmetry, the energy eigenvalue equation and the corresponding eigenfunctions were obtained in closed form by using the Nikiforov-Uvarov method. Also Special cases of the potential have been considered and their energy eigen values as well as their corresponding eigen functions were obtained for both relativistic and non-relativistic scope.