Exact analytical solutions to the Kratzer potential by the asymptotic iteration method

For any n and l values, we present a simple exact analytical solution of the radial Schrödinger equation for the Kratzer potential within the framework of the asymptotic iteration method (AIM). The exact bound‐state energy eigenvalues ( E nl ) and corresponding eigenfunctions ( R nl ) are calculated for various values of n and l quantum numbers for CO, NO, O 2 , and I 2 diatomic molecules.