An-Najah Staff

recently proposed strictly phenomenological static quark-antiquark potential belonging to the generality V(r)=−Ar−α+κrβ+V0 is tested with heavy quarkonia in the context of the shifted large N-expansion method. This nonrelativistic potential model fits the spin-averaged mass spectra of the cc¯, bb¯ and c quarkonia within a few MeV and also the five experimentally known leptonic decay widths of the cc¯ and b vector states. Further, we compute the hyperfine splittings of the bottomonium spectrum as well as the fine and hyperfine splittings of the charmonium spectrum. We give predictions for not yet observed Bc splittings. The model is then used to predict the masses of the remaining quarkonia and the leptonic decay widths of the two pseudoscalar cb¯ states. Our results are compared with other models to gauge the reliability of the predictions and point out differences.