APPROXIMATE ℓ-STATE SOLUTIONS OF A SPIN-0 PARTICLE FOR WOODS–SAXON POTENTIAL

Altuğ Arda () and Ramazan Sever ()
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Altuğ Arda: Department of Physics Education, Hacettepe University, 06800, Ankara, Turkey
Ramazan Sever: Department of Physics, Middle East Technical University, 06800, Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 04, 651-665

Abstract: The radial part of Klein–Gordon equation is solved for the Woods–Saxon potential within the framework of an approximation to the centrifugal barrier. The bound states and the corresponding normalized eigenfunctions of the Woods–Saxon potential are computed by using the Nikiforov–Uvarov method. The results are consistent with the ones obtained in the case of generalized Woods–Saxon potential. The solutions of the Schrödinger equation by using the same approximation are also studied as a special case, and obtained the consistent results with the ones obtained before.

Keywords: Nikiforov–Uvarov method; Klein–Gordon equation; Woods–Saxon potential; 03.65.Fd; 03.65.Ge (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109013881

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