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RELATIVISTIC BOUND STATES IN THE PRESENCE OF SPHERICALLY RING-SHAPED q-DEFORMED WOODS–SAXON POTENTIAL WITH ARBITRARY l-STATES

Department of Physics, Faculty of Science, An-Najah National University, New Campus, Junaid, Nablus, West Bank, Palestine

Department of Physics, Near East University, 922022 Nicosia, Northern Cyprus, Mersin 10, Turkey

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MAJID HAMZAVI

Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran

Corresponding author.

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, and

A. A. RAJABI

Physics Department, Shahrood University of Technology, Shahrood, Iran

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https://doi.org/10.1142/S0218301313500158Cited by:6 (Source: Crossref)

Abstract

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).

Keywords:

PACS: 03.65.Ge, 03.65.Fd, 0.65.Pm, 02.30.Gp, 21.10.Dr, 21.10.Sf, 24.10.Jv

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