Exploring the Spectrum of Heavy Quarkonium Hybrids with QCD Sum Rules

R. T. Kleiv; B. Bulthuis; D. Harnett; T. Richards; Wei Chen; J. Ho; T. G. Steele; Shi-Lin Zhu

doi:10.1139/cjp-2014-0589

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arXiv · 1410.6259

Exploring the Spectrum of Heavy Quarkonium Hybrids with QCD Sum Rules

R. T. Kleiv·B. Bulthuis·D. Harnett·T. Richards·Wei Chen·J. Ho·T. G. Steele·Shi-Lin Zhu

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Abstract

QCD Laplace sum rules are used to calculate heavy quarkonium (charmonium and bottomonium) hybrid masses in several distinct $J^{PC}$ channels. Previous studies of heavy quarkonium hybrids did not include the effects of dimension-six condensates, leading to unstable sum rules and unreliable mass predictions in some channels. We have updated these sum rules to include dimension-six condensates, providing new mass predictions for the spectra of heavy quarkonium hybrids. We confirm the finding of other approaches that the negative-parity $J^{PC}=(0,1,2)^{-+},\,1^{--}$ states form the lightest hybrid supermultiplet and the positive-parity $J^{PC}=(0,1)^{+-},\,(0,1,2)^{++}$ states are members of a heavier supermultiplet. Our results disfavor a pure charmonium hybrid interpretation of the $X(3872)$, in agreement with previous work.

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R. T. Kleiv, B. Bulthuis, D. Harnett, T. Richards, Wei Chen, J. Ho, T. G. Steele, Shi-Lin Zhu. 2014-12-09. Exploring the Spectrum of Heavy Quarkonium Hybrids with QCD Sum Rules. https://doi.org/10.1139/cjp-2014-0589

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