Approximate Pseudospin Solutions of the Dirac Equation with the Eckart Potential Including a Coulomb-Like Tensor Potential

Abstract

We solve the Dirac equation with the Eckart potential including a Coulomb-like tensor potential under pseudospin symmetry limit with arbitrary spin-orbit coupling quantum number κ by using the Nikiforov-Uvarov method. We have obtained closed forms of eigenfunctions, energy eigenvalues and compared our results with other present data.

Eigen Spectra for q-Deformed Hyperbolic Scarf Potential Including a Coulomb-like Tensor Interaction

“…Therefore, we obtain the energy eigenvalue equation for the potential under the consideration [20,45],…”

“…In this way, a spin-orbit coupling term is added to the Dirac Hamiltonian [18][19][20][21][22][23][24][25].…”

“…under the spin symmetry. We obtain the bound state energy equation and the corresponding spinor wave functions by using the parametric generalization of the Nikiforov-Uvarov method [20,45].…”

Pseudo-spin Symmetry for Relativistic-Hyperbolic Problem and Tensor Potential

“…In this way, a spin-orbit coupling term is added to the Dirac Hamiltonian. In this regard, see [30][31][32][33][34][35][36][37].…”

“…Our aim in this paper is to attempt to study the Dirac equation with hyperbolic potential (1) including a Coulomb-like tensor potential [30,32] …”