Hybrid quarkonium masses up to the order of $\mathcal{O}(1/m_Q)$

Abstract

We have calculated the binding energy of the hybrid quarkonium up to the order of $\mathcal{O}(1/m_Q)$ and found their decay constants scale like $m_Q^{5/4}$ as $m_Q\to \infty$. The $0^{--}$ and $0^{++}$ hybrid quarkonium is exactly degenerate in the limit of $m_Q\to \infty$ while the $\mathcal{O}(1/m_Q)$ correction renders the $0^{--}$ mass lower than that for $0^{++}$. The $1^{-+}$ and $1^{+-}$ hybrid is nearly degenerate and lies 0.7 GeV lower than $0^{--}$. With $m_b=4.8$GeV the mass of $1^{-+}$ $b\bar{b}g$ state is $(10.75\pm 0.10)$, which is the lightest exotic hybrid quarkonium.

4 pages + 2 tables + 2 PS figures

References in corpus (2)

• Evidence for Exotic Meson Production in the Reaction ${\pi }^{-}p\to \eta {\pi }^{-}p$ at 18 GeV/c
• The masses and decay widths of heavy hybrid mesons

Cited by in corpus (7)

• Mass Spectrum of Heavy Quarkonium Hybrids
• Determining $1^{--}$ Heavy Hybrid Masses via QCD Sum Rules
• Masses of the Bottom-Charm Hybrid $\bar{b}Gc$ States
• Mass Predictions of Vector ($1^{--}$) Double-gluon Heavy Quarkonium Hybrids from QCD Sum Rules
• Heavy-light hybrid mesons with different spin-parities
• Revisit the heavy quarkonium double-gluon hybrid mesons with exotic quantum numbers
• $\rho$ Meson Decays of Heavy Hybrid Mesons