Relativistic symmetries in Yukawa-type interactions with Coulomb-like tensor. (English) Zbl 1334.81033
Summary: This study presents the solutions of the Dirac equation with a new suggested Yukawa-type potential for any spin-orbit quantum number \({\kappa}\) interacting with a Coulomb-like tensor interaction. In the presence of spin and pseudospin (p-spin) symmetries, the approximate energy eigenvalues and wave functions are obtained by means of the parametric Nikiforov-Uvarov (pNU) method and the asymptotic iteration method (AIM). The numerical results show that the Coulomb-like tensor interaction removes degeneracies between spin and p-spin state doublets. The bound state solutions of the Schrödinger and Klein-Gordon equations for this new potential have also been presented. Our analytical results are in exact agreements with previous works.
MSC:
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
Keywords:
Dirac equation; Yukawa potential; Coulomb-like tensor potential; spin and p-spin symmetry; Nikiforov-Uvarov methodReferences:
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