Any J -State Solution of the Dufﬁn–Kemmer–Petiau Equation for a Vector Deformed Woods–Saxon Potential

Journal Title, Volume, Page:

Few-Body Syst, 53:461–471

Year of Publication:

2012

Authors:

S. M. Ikhdair

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

Current Affiliation:

Physics Department, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

M. Hamzavi

Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

Preferred Abstract (Original):

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.

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Any J -State Solution of the Dufﬁn–Kemmer–Petiau Equation for a Vector Deformed Woods–Saxon Potential