Mass Predictions for Pseudoscalar $J^{PC}=0^{-+}$ Charmonium and Bottomonium Hybrids in QCD Sum-Rules

Abstract

Masses of the pseudoscalar $(J^{PC}=0^{-+})$ charmonium and bottomonium hybrids are determined using QCD Laplace sum-rules. The effects of the dimension-six gluon condensate are included in our analysis and result in a stable sum-rule analysis, whereas previous studies of these states were unable to optimize mass predictions. The pseudoscalar charmonium hybrid is predicted to have a mass of approximately 3.8 GeV and the corresponding bottomonium prediction is 10.6 GeV. Calculating the full correlation function, rather than only the imaginary part, is shown to be necessary for accurate formulation of the sum-rules. The charmonium hybrid mass prediction is discussed within the context of the X Y Z resonances.

10 pages, 7 embedded figures. Analysis extended and refined in v2

References in corpus (5)

• The Exotic XYZ Charmonium-like Mesons
• Excited and exotic charmonium spectroscopy from lattice QCD
• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• Exotic ccbar spectroscopy
• Rumsfeld Hadrons

Cited by in corpus (6)

• Axial Vector $J^{PC}=1^{++}$ Charmonium and Bottomonium Hybrid Mass Predictions with QCD Sum-Rules
• Mass Predictions of Vector ($1^{--}$) Double-gluon Heavy Quarkonium Hybrids from QCD Sum Rules
• Heavy-light hybrid mesons with different spin-parities
• Analytic calculation of doubly heavy hadron spectral density in coordinate space
• Exploring the Spectrum of Heavy Quarkonium Hybrids with QCD Sum Rules
• Revisit the heavy quarkonium double-gluon hybrid mesons with exotic quantum numbers