$J^{PC}=1^{++}$ heavy hybrid masses from QCD sum-rules

Abstract

QCD Laplace sum-rules are used to calculate axial vector $(J^{PC}=1^{++})$ charmonium and bottomonium hybrid masses. Previous sum-rule studies of axial vector heavy quark hybrids did not include the dimension-six gluon condensate, which has been shown to be important in the $1^{--}$ and $0^{-+}$ channels. An updated analysis of axial vector heavy quark hybrids is performed, including the effects of the dimension-six gluon condensate, yielding mass predictions of 5.13 GeV for hybrid charmonium and 11.32 GeV for hybrid bottomonium. The charmonium hybrid mass prediction disfavours a hybrid interpretation of the X(3872), if it has $J^{PC}=1^{++}$, in agreement with the findings of other theoretical approaches. It is noted that QCD sum-rule results for the $1^{--}$, $0^{-+}$ and $1^{++}$ channels are in qualitative agreement with the charmonium hybrid multiplet structure observed in recent lattice calculations.

4 pages, 4 figures. Presentation given at QCD12 conference, Montpellier, France, July 2-6 2012

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• Higher Hybrid Charmonia in an Extended Potential Model
• Higher Hybrid Bottomonia in an Extended Potential Model
• Decay Properties of Conventional and Hybrid Charmonium Mesons
• Potential Model for ${\Sigma }_u^{-}$ Hybrid Meson State