Sunday, August 4, 2013

1308.0005 (Sameer M. Ikhdair et al.)

Dirac bound state solutions of spherically ring-shaped q-deformed
Woods-Saxon potential for any L-state

Sameer M. Ikhdair, Majid Hamzavi
Approximate bound state solutions of the Dirac equation with -deformed Woods-Saxon plus a new generalized ring-shaped potential are obtained for any arbitrary L-state. The energy eigenvalue equation and corresponding two-component wave function are calculated by solving the radial and angular wave equations within a shortcut of the Nikiforov-Uvarov 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 ring-shaped Hulth\'en potential and the standard usual spherical Woods-Saxon potential (q=1).
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