Spinless Particles Subject to Unequal Scalar-Vector Nuclear Woods– Saxon Potentials in Arbitrary Dimensions

Majid Hamzavi, Sameer M. Ikhdair, Ali Akbar Rajabi
2013 Zeitschrift fur Naturforschung A-A Journal of Physical Sciences  
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
more » ... te 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.
doi:10.5560/zna.2013-0066 fatcat:v7mgnfu6czd6ra3fu62dxoqhpe