Masses of the Bottom-Charm Hybrid $\bar{b}Gc$ States

Abstract

QCD sum rules are used to study the mass spectrum of bottom-charm hybrid $\bar{b}Gc$ systems. The correlation functions and the spectral densities are calculated up to dimension six condensates at leading order of ${\alpha }_s$ for several $J^P$ quantum numbers. After performing the QCD sum rule analysis, we predict the masses of the $J^P=0^{-},0^{+},1^{-},1^{+},2^{-},2^{+}$ bottom-charm hybrids. These mass predictions show a similar supermultiplet structure as the bottomonium and charmonium hybrids. Using the QCD sum-rule mass predictions we analyze the possible hadronic decay patterns of the $\bar{c}Gc$, $\bar{b}Gc$ and $\bar{b}Gb$ hybrids including the open-flavour and hidden-flavour mechanisms.

14 pages, 8 figures, 6 tables. Version to appear in Journal of Physics G

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• Mass Calculations of Light Quarkonium, Exotic $J^{PC}=0^{+-}$ Hybrid Mesons from Gaussian Sum-Rules
• Conventional and Hybrid $B_c$ Mesons in an Extended Potential Model
• Masses of Open-Flavour Heavy-Light Hybrids from QCD Sum-Rules
• Predictions of the hybrid mesons with exotic quantum numbers $J^{PC}=2^{+-}$
• Properties of Bc Mesons and Variational Constraints on their Masses
• Mass spectrum of the hidden-charm hybrid states via the QCD sum rules
• Masses and decays of the bottom-charm hybrid meson $c\bar{b}g$
• Revisit the heavy quarkonium double-gluon hybrid mesons with exotic quantum numbers