Relativistic new Yukawa-like potential and tensor coupling
Abstract
We approximately solve the Dirac equation for a new suggested generalized inversely quadratic Yukawa (GIQY) potential including a Coulomb-like tensor interaction with arbitrary spin-orbit coupling quantum number In the framework of the spin and pseudospin (p-spin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions, in closed form, by using the parametric Nikiforov-Uvarov (NU) method. The numerical results show that the Coulomb-like tensor interaction, removes degeneracies between spin and p-spin state doublets. The Dirac solutions in the presence of exact spin symmetry are reduced to Schr\"odinger solutions for Yukawa and inversely quadratic Yukawa potentials.
Keywords
Cite
@article{arxiv.1210.1406,
title = {Relativistic new Yukawa-like potential and tensor coupling},
author = {Sameer M. Ikhdair and Majid Hamzavi},
journal= {arXiv preprint arXiv:1210.1406},
year = {2012}
}
Comments
22 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1203.6769