Analytical Solutions of the Schrödinger Equation with Kratzer-screened Coulomb Potential for a Quarkonium System

Abstract

In this work, we obtain the Schrödinger equation solutions for the Kratzer potential plus
screened Coulomb potential model using the series expansion method. The energy
eigenvalues is obtained in non-relativistic regime and the corresponding unnormalized eigen
function. Three special cases were obtained. We applied the present results to calculate
heavy-meson masses of charmoniumܿ ܿ̅ and bottomoniumܾ ܾ ത, and we got the numerical
values for1S, 2S, 1P,2P, 3S, 4S ,1D,2D and 1F states. The results are in good agreement with
experimental data and the work of other researchers.