spin and p-spin symmetries

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Relativistic Symmetries in the Rosen Morse Potential and Tensor Interaction using the Nikiforov Uvarov Method

Journal Title, Volume, Page: 
Chin. Phys. B Vol. 22, No. 4 (2013) 040302
Year of Publication: 
2013
Authors: 
Sameer M Ikhdair
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Majid Hamzavi
Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran
Preferred Abstract (Original): 

Approximate analytical bound-state solutions of the Dirac particle in the field of both attractive and repulsive RM potentials including Coulomb-like tensor (CLT) potential are obtained for arbitrary spin-orbit quantum number The Pekeris approximation is used to deal with the spin-orbit coupling terms In the presence of exact spin and pseudospin (p-spin) symmetries, the energy eigenvalues and the corresponding normalized two-component wave functions are found by using the parametric generalization of the Nikiforov-Uvarov (NU) method. The numerical results show that the CLT interaction removes degeneracies between spin and p-spin state doublets.

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Relativistic Symmetries with the Trigonometric Pöschl—Teller Potential Plus Coulomb-Like Tensor Interaction

Journal Title, Volume, Page: 
Chin. Phys. B Vol. 22, No. 4, 040302
Year of Publication: 
2013
Authors: 
Sameer M. Ikhdair
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Babatunde J. Falaye
Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran
Preferred Abstract (Original): 

The Dirac equation is solved to obtain its approximate bound states for a spin-1/2 particle in the presence of trigonometric Pöschl—Teller (tPT) potential including a Coulomb-like tensor interaction with arbitrary spin—orbit quantum number κ using an approximation scheme to substitute the centrifugal terms κ(κ ± 1)r−2. In view of spin and pseudo-spin (p-spin) symmetries, the relativistic energy eigenvalues and the corresponding two-component wave functions of a particle moving in the field of attractive and repulsive tPT potentials are obtained using the asymptotic iteration method (AIM). We present numerical results in the absence and presence of tensor coupling A and for various values of spin and p-spin constants and quantum numbers n and κ. The non-relativistic limit is also obtained.

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