Approximate Spin and Pseudospin Solutions to the Dirac Equation for the Inversely Quadratic Yukawa Potential and Tensor Interaction

Journal Title, Volume, Page:

Physica Scripta 85 (2012) 045009 (7pp)

Year of Publication:

2012

Link:

http://arxiv.org/abs/1203.6769

Authors:

S M Ikhdair

Physics Department, Near East University, Nicosia, North Cyprus, Mersin 10, Turkey

Current Affiliation:

Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

M Hamzavi

Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

B I Ita

Theoretical Chemistry Group, Department of Pure and Applied Chemistry, University of Calabar, Nigeria

Preferred Abstract (Original):

We approximately solve the Dirac equation for the inversely quadratic Yukawa (IQY) potential including a Coulomb-like tensor potential with arbitrary spin-orbit coupling quantum number . In the framework of the spin and pseudospin (pspin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions in closed form by using the Nikiforov-Uvarov method. The numerical results show that the Coulomb-like tensor interaction removes degeneracies between spin and pspin state doublets.

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Approximate Spin and Pseudospin Solutions to the Dirac Equation for the Inversely Quadratic Yukawa Potential and Tensor Interaction