Charmonium and upsilon systems with fine-hyperfine splittings
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We show that both charmonium and upsilon spectra can be simultaneously fitted by an effective non-coulombic power-law potential with lowest order relativistic corrections. The fine-hyperfine splittings of these spectra can be well understood without considering the short distance coulombic part of the potential as suggested byqcd, if the Lorentz structure of the central potential is taken as an almost equal admixture of vector and scalar gluon exchanges. With this model we make several specific predictions for the upsilon spectra which could hopefully be tested in the near future.
KeywordsPower-law potential Lorentz vector and scalar spin-independent corrections spin-dependent corrections mass formulas fine-hyperfine splittings charmonium upsilon
PACS No.14·40-n 12·40Qq 12·70+q
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