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

by: R. T. Kleiv, D. Harnett, T. G. Steele, Hong-ying Jin
Nuclear Physics B - Proceedings Supplements, Vol. 234 (16 Aug 2012), pp. 150-153, doi:10.1016/j.nuclphysbps.2012.12.003  Key: citeulike:11177219

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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.


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