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

R. T. Kleiv; D. Harnett; T. G. Steele; Hong-ying Jin

doi:10.1016/j.nuclphysbps.2012.12.003

paper

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

arXiv:1208.3273 · doi:10.1016/j.nuclphysbps.2012.12.003

Abstract

QCD Laplace sum-rules are used to calculate axial vector $(J^{P C} = 1^{++})$ 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 $J^{P C} = 1^{++}$ , 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

JPC=1++ heavy hybrid masses from QCD sum-rules

Abstract

References in corpus (3)

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