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Relativistic Bound States in the Presence of Spherically Ring-Shaped Q-Deformed Woods–Saxon Potential With Arbitrary l-States

Tue, 2013-10-29 10:41 — Sameer. Ikhdair
Journal Title, Volume, Page: 
International Journal of Modern Physics E Vol. 22, No. 3
Year of Publication: 
2013
Link: 
http://www.worldscientific.com/doi/abs/10.1142/S0218301313500158
Authors: 
SAMEER M. IKHDAIR
Department of Physics, Faculty of Science, An-Najah National University, New Campus, Junaid, Nablus, West Bank, Palestine
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
[email protected]
MAJID HAMZAVI
Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran
A. A. RAJABI
Physics Department, Shahrood University of Technology, Shahrood, Iran
Preferred Abstract (Original): 

Approximate bound-state solutions of the Dirac equation with q-deformed Woods–Saxon (WS) plus a new generalized ring-shaped (RS) potential are obtained for any arbitrary l-state. The energy eigenvalue equation and corresponding two-component wave functions are calculated by solving the radial and angular wave equations within a shortcut of the Nikiforov–Uvarov (NU) method. The solutions of the radial and polar angular parts of the wave function are expressed in terms of the Jacobi polynomials. A new approximation being expressed in terms of the potential parameters is carried out to deal with the strong singular centrifugal potential term l(l+1)r-2. Under some limitations, we can obtain solution for the RS Hulthén potential and the standard usual spherical WS potential (q = 1).

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