Abstract
We present analytical bound state solutions of the spin-zero particles in the Klein-Gordon (KG) equation in presence of an unequal mixture of scalar and vector Woods-Saxon potentials within the framework of the approximation scheme to the centrifugal potential term for any arbitrary l-state. The approximate energy eigenvalues and unnormalized wave functions are obtained in closed forms using a parametric Nikiforov-Uvarov (NU) method. Our numerical energy eigenvalues demonstrate the existence of inter-dimensional degeneracy amongst energy states of the KG-Woods-Saxon problem. The dependence of the energy levels on the dimension D is numerically discussed for spatial dimensions D = 2 - 6.
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