Approximate Relativistic Bound States of A Particle in Yukawa Field with Coulomb Tensor Interaction

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Journal Title, Volume, Page: 
Phys. Scr. 87 (2013) 035002 (7pp)
Year of Publication: 
2013
Authors: 
Sameer M. Ikhdair
Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Babatunde J Falaye
Theoretical Physics Section, Department of Physics, University of Ilorin, PMB 1515 Ilorin, Nigeria
Preferred Abstract (Original): 

We obtain the approximate relativistic bound state of a spin-$\frac {1}{2}$  particle in the field of the Yukawa potential and a Coulomb-like tensor interaction with arbitrary spin–orbit coupling number κ under the spin and pseudospin (p-spin) symmetries. The asymptotic iteration method is used to obtain energy eigenvalues and the corresponding wave functions in their closed forms. Our numerical results show that the tensor interaction removes degeneracies between the spin and p-spin doublets and creates new degenerate doublets for various strengths of tensor coupling.

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