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A SYSTEMATIC STUDY ON NONRELATIVISTIC QUARKONIUM INTERACTION

SAMEER M. IKHDAIR

Department of Physics, Near East University, Nicosia, North Cyprus, Turkey

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and

RAMAZAN SEVER

Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

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https://doi.org/10.1142/S0217751X06030953Cited by:28 (Source: Crossref)

Abstract

A recently proposed strictly phenomenological static quark–antiquark potential belonging to the generality V(r) = -Ar^-α + κr^β + 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 , and quarkonia within a few MeV and also the five experimentally known leptonic decay widths of the and 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 states. Our results are compared with other models to gauge the reliability of the predictions and point out differences.

Keywords:

PACS: 12.39.Pn, 14.40-n, 12.39.Jh, 14.65.-q, 13.30.Gd

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