摘要
Approximate analytical bound-state solutions of the Dirac particle in the fields of attractive and repulsive Rosen–Morse (RM) potentials including the Coulomb-like tensor (CLT) potential are obtained for arbitrary spin–orbit quantum number κ. The Pekeris approximation is used to deal with the spin–orbit coupling terms κ(κ ± 1)r 2 . In the presence of exact spin and pseudospin (p-spin) symmetries, the energy eigenvalues and the corresponding normalized two-component wave functions are found by using the parametric generalization of the Nikiforov–Uvarov (NU) method. The numerical results show that the CLT interaction removes degeneracies between the spin and p-spin state doublets.
Approximate analytical bound-state solutions of the Dirac particle in the fields of attractive and repulsive Rosen–Morse (RM) potentials including the Coulomb-like tensor (CLT) potential are obtained for arbitrary spin–orbit quantum number κ. The Pekeris approximation is used to deal with the spin–orbit coupling terms κ(κ ± 1)r 2 . In the presence of exact spin and pseudospin (p-spin) symmetries, the energy eigenvalues and the corresponding normalized two-component wave functions are found by using the parametric generalization of the Nikiforov–Uvarov (NU) method. The numerical results show that the CLT interaction removes degeneracies between the spin and p-spin state doublets.
基金
Project partially supported by the Scientific and Technological Research Council of Turkey (Grant No. TBíTAK)