Solutions of the Schrödinger equation with Hulthén-screened Kratzer potential: Application to Diatomic Molecules

In this study, the Schrödinger equation with Hulthén plus screened Kratzer potentials (HSKP) are solved via Nikiforov-Uvarov (NU) and series expansion methods. We obtained energy wave function in closed form Greene-Aldrich approximation NU method. The method was also used to obtain of HSKP. Three distinct cases were from combined potentials. eigenvalues HSKP for HCl, LiH, H2, NO diatomic molecules computed various quantum states. To test accuracy our results, we bound states HCl a special case potentials, which excellent agreement report other researchers.