Non-relativistic eigensolutions of molecular and heavy quarkonia interacting potentials via the Nikiforov Uvarov method

In this paper, the analytical eigensolutions of the radial Schrödinger equation are obtained using the Nikiforov Uvarov method. Special cases of the modeled potential were discussed. The energy eigenvalues expressions for both quarkonia and diatomic molecular interacting systems are obtained. Furthermore, the masses of the charmonium and bottomonium mesons were computed. The vibrational energy levels, inertia rotational constant, and first two centrifugal distortion constants of the Kratzer–Fues oscillator were obtained in closed form. The results obtained are in excellent agreement with the results in the literature.