  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.
