Bound and scattering states of modified Yukawa potential under relativistic spin and pseudospin symmetries with three tensor interactions

Abstract

Within the framework of the spin and pseudospin symmetry limit, we approximately present the analytical solutions of bound and scattering states of the Dirac equation with modified Yukawa potential including three-tensor interactions comprising Coulomb-like, Yukawa-like and Hulthen-type potentials. The energy equation, phase shifts and normalized constant are obtained in a closed form. We also calculated the numerical results of the energy eigenvalues in the presence of tensor interactions. We discuss in detail the effect of the tensor interactions and the degeneracies removing role in the energy splitting of the pseudospin and spin doublets. Finally, special cases of the potential are also discussed.