Ahmed Al-Jamel and Hatem Widyan, Heavy quarkonium mass spectra in a Coulomb field plus quadratic potential using Nikiforov-Uvarov method, Applied Physics Research, Vol. 4, No. 3, August 2012.

In this work, the spin-averaged mass spectra of heavy quarkonia ( ?? ? and ?? ? ) in a Coulomb plus quadratic potential is studied within the framew ork of nonrelativistic Schrodinger equation. The energy eigenvalues and eigenfunctions are obtained in compact forms for any ? -value using Nikiforov-Uvarov method. The obtained results are used to produce potential parameters ( ? , ? , and ? ) for the charmonium and bottomonium systems, from which then their full mass spectra are determined. The obtained values are co mpared with the available experimental results. The predictions from our model are found to be in good agreement with the experimental results. As a side result, the Hydrogen atom known spectrum is recovered