Any J-state solution of the DKP equation for a vector deformed Woods-Saxon potential

Abstract

By using the Pekeris approximation, the Duffin-Kemmer-Petiau (DKP) equation is investigated for a vector deformed Woods-Saxon (dWS) potential. The parametric Nikiforov-Uvarov (NU) method is used in calculations. The approximate energy eigenvalue equation and the corresponding wave function spinor components are calculated for any total angular momentum J in closed form. The exact energy equation and wave function spinor components are also given for the J=0 case. We use a set of parameter values to obtain the numerical values for the energy states with various values of quantum levels (n,J) and potential's deformation constant q and width R.

arXiv comment16 pages; Accepted Few-Body Systems 2012

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Cited by in corpus (2)

• Approximate solution of the Duffin-Kemmer-Petiau equation for a vector Yukawa potential with arbitrary total angular momenta
• Duffin-Kemmer-Petiau particle in a vector exponential-like decaying field with any arbitrary -state