Energy eigenvalues of diatomic molecules with the shifted Deng-Fan potential using a recently introduced approximation scheme

The analytical solution of the Schrodinger equation with the shifted Deng-Fan potential has been investigated within the parametric Nikiforov-Uvarov (NU) formalism. A recently introduced improved approximation scheme has been used for the centrifugal term and with this, the energy eigenvalues of the sDF is obtained. As an application the m-vibrational energies of nine diatomic molecules, H-2, CO, LiH, HCl, ScH, ScN, TiH, ScF and I-2 is obtained for both low and high-lying states for both l = 0 and l not equal 0. Our results are found to be consistent with the literature for these molecules.