Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-08-12
Int.J.Mod.Phys. A21 (2006) 3989-4002
Physics
High Energy Physics
High Energy Physics - Phenomenology
24 pages
Scientific paper
10.1142/S0217751X06030953
recently proposed strictly phenomenological static quark-antiquark potential belonging to the generality $V(r)=-Ar^{-\alpha}+\kappa r^{\beta}+V_{0}$ 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 $c\bar{c},$ $b\bar{b}$ and $c% \bar{b}$ quarkonia within a few ${\rm MeV}$ and also the five experimentally known leptonic decay widths of the $c\bar{c}$ and $b% \bar{b}$ 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 $B_{c}$ splittings. The model is then used to predict the masses of the remaining quarkonia and the leptonic decay widths of the two pseudoscalar $c\bar{b%}$ states. Our results are compared with other models to gauge the reliability of the predictions and point out differences.
Ikhdair Sameer M.
Sever Ramazan
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