Bound and scattering states of the Klein-Gordon equation for shifted Tietz-Wei potential with applications to diatomic molecules

Abstract

In this study, the Klein-Gordon equation (KGE) was solved with the shifted Tietz-Wei potential using the Nikiforov-Uvarov-functional-analysis (NUFA) in higher dimensions. By employing the improved approximation scheme, the relativistic energy spectra of the shifted Tietz-Wei potential was obtained in closed form. In addition, the scattering state phase shift expression for the shifted Tietz-Wei potential was obtained in higher dimensions. The effects of the vibrational and rotational quantum numbers on the bound state energy spectra and scattering phase shift of chlorine dimer, and iodine monochloride, diatomic molecules were studied numerically and graphically at different dimensions. Interestingly, there exists inter-dimensional degeneracy symmetry for the bound state and scattering phase shift of the diatomic molecular systems considered. Our results were generally in good agreement with those obtained in literatures.