Approximate bound state solutions of Dirac equation with Hulth\'{e}n potential including Coulomb-like tensor potential

摘要

We solve the Dirac equation approximately for the attractive scalar $S(r)$and repulsive vector $V(r)$ Hulth\'{e}n potentials including a Coulomb-liketensor potential with arbitrary spin-orbit coupling quantum number $\kappa .$In the framework of the spin and pseudospin symmetric concept, we obtain theanalytic energy spectrum and the corresponding two-component upper- andlower-spinors of the two Dirac particles by means of the Nikiforov-Uvarovmethod in closed form. The limit of zero tensor coupling and thenon-relativistic solution are obtained. The energy spectrum for various levelsis presented for several $\kappa $ values under the condition of exact spinsymmetry in the presence or absence of tensor coupling.