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An analytic form for the quark-antiquark interaction potential is proposed based on the renormalization-group equation of quantum chromodynamics (QCD) and the confinement assumption. With validity of the nonrelativistic approximation assumed, energy spectra, leptonic decay width, and $E1$ transition rates are computed. The results are compared with experimental data of ψ and Υ resonances. A possible spin-spin interaction of non-QCD origin is then discussed.
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Levine et al. (1979) studied this question.
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