Exploring the Spectrum of Heavy Quarkonium Hybrids with QCD Sum Rules

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.

arXiv commentPresented by RTK at the Theory Canada 9 Conference, held at Wilfrid Laurier University in June 2014. Submitted for the conference proceedings to be published in the Canadian Journal of Physics. 5 pages, 1 figure. Version 2: reference added, typo corrected

References in corpus (23)

• Big-Bang Nucleosynthesis
• Heavy quarkonium: progress, puzzles, and opportunities
• QCD and strongly coupled gauge theories: challenges and perspectives
• Determination of the X(3872) meson quantum numbers
• Excited and exotic charmonium spectroscopy from lattice QCD
• Charm and Bottom Quark Masses: an Update
• Two-loop two-point functions with masses: asymptotic expansions and Taylor series, in any dimension
• Ab Initio Study of Hybrid b-bar-gb Mesons
• Hybrid and Conventional Mesons in the Flux Tube Model: Numerical Studies and their Phenomenological Implications
• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• Gluon Condensates and m_b(m_b) from QCD-Exponential Moments at Higher Orders
• Is X(3872) a possible candidate of hybrid meson
• TARCER - A Mathematica program for the reduction of two-loop propagator integrals
• Gluon condensates and c, b quark masses from quarkonia ratios of moments
• Heavy quarkonium hybrids from Coulomb gauge QCD
• Exotic Heavy Quarkonium Spectroscopy: A Mini-review
• Quarkonium at the Frontiers of High Energy Physics: A Snowmass White Paper
• Mass Spectrum of Heavy Quarkonium Hybrids
• Gluonic excitation of non-exotic hybrid charmonium from lattice QCD
• Estimate of the charmed 0-- hybrid meson spectrum from quenched lattice QCD
• Determining $1^{--}$ Heavy Hybrid Masses via QCD Sum Rules
• Axial Vector $J^{PC}=1^{++}$ Charmonium and Bottomonium Hybrid Mass Predictions with QCD Sum-Rules
• Mass Predictions for Pseudoscalar $J^{PC}=0^{-+}$ Charmonium and Bottomonium Hybrids in QCD Sum-Rules

Cited by in corpus (3)

• Higher Hybrid Bottomonia in an Extended Potential Model
• Mass Predictions of Vector ($1^{--}$) Double-gluon Heavy Quarkonium Hybrids from QCD Sum Rules
• Heavy-light hybrid mesons with different spin-parities