English

Relativistic symmetries in the Hulth\'en scalar-vector-tensor interactions

Quantum Physics 2012-12-11 v1

Abstract

In the presence of spin and pseudospin (p-spin) symmetries, the approximate analytical bound states of the Dirac equation for scalar-vector-tensor Hulth\'en potentials are obtained with any arbitrary spin-orbit coupling number using the Pekeris approximation. The Hulth\'en tensor interaction is studied instead of the commonly used Coulomb or linear terms. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy eigenvalues and corresponding wave functions in their closed forms. We show that tensor interaction removes degeneracies between spin and p-spin doublets. Some numerical results are also given.

Keywords

Cite

@article{arxiv.1212.1828,
  title  = {Relativistic symmetries in the Hulth\'en scalar-vector-tensor interactions},
  author = {A. A. Rajabi and M. Hamzavi},
  journal= {arXiv preprint arXiv:1212.1828},
  year   = {2012}
}

Comments

14 pages, 2 tables, 3 figures