Friday, October 5, 2012

1210.1406 (Sameer M. Ikhdair et al.)

Relativistic new Yukawa-like potential and tensor coupling    [PDF]

Sameer M. Ikhdair, Majid Hamzavi
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.
View original: http://arxiv.org/abs/1210.1406

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