Light double-gluon hybrid states with the exotic quantum numbers $J^{PC}=1^{-+}$ and $3^{-+}$

Abstract

We apply the QCD sum rule method to study the double-gluon hybrid states with the quark-gluon contents $\bar{q}qgg$ ($q=u/d$) and $\bar{s}sgg$. We construct twenty-eight double-gluon hybrid currents, eleven of which are found to be zero due to some internal symmetries between the two gluons fields. We concentrate on the non-vanishing currents with the exotic quantum numbers $J^{PC}=1^{-+}$ and $3^{-+}$. Their masses are calculated to be $M_{|\bar{q}qgg;1^{-+}⟩}=4.35_{-0.30}^{+0.26}$ GeV, $M_{|\bar{s}sgg;1^{-+}⟩}=4.49_{-0.30}^{+0.25}$ GeV, $M_{|\bar{q}qgg;3^{-+}⟩}=3.02_{-0.31}^{+0.24}$ GeV, and $M_{|\bar{s}sgg;3^{-+}⟩}=3.16_{-0.28}^{+0.22}$ GeV. The decay behaviors of the $J^{PC}=3^{-+}$ states are studied, and we propose to search for them in the $\pi a_1(1260)/\rho \omega /\varphi \varphi$ channels in future particle experiments.

14 pages, 3 figures, 2 tables, slightly modified, accepted by PRD

References in corpus (25)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• An updated review of the new hadron states
• Toward the excited meson spectrum of dynamical QCD
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Hybrid Mesons
• Comparison of $pp$ and $p\bar{p}$ differential elastic cross sections and observation of the exchange of a colorless $C$-odd gluonic compound
• Observation of an isoscalar resonance with exotic $J^{PC}=1^{-+}$ quantum numbers in $J/\psi \to \gamma \eta {\eta }^{\prime }$
• Hadronic molecules in B decays
• Partial wave analysis of $J/\psi \to \gamma \eta {\eta }^{\prime }$
• The I^G J^{PC}=1^- 1^{-+} Tetraquark States
• Hybrid meson properties in Lattice QCD and Flux Tube Models
• Possible structure of the newly found exotic state ${\eta }_1(1855)$
• Towards the establishment of the light $J^{P(C)}=1^{-(+)}$ hybrid nonet
• The I^G J^{PC}=0^+ 1^{-+} Tetraquark State
• $S$- and $P$-wave fully-strange tetraquark states from QCD sum rules
• QCD axial anomaly enhances the $\eta {\eta }^{\prime }$ decay of the hybrid candidate ${\eta }_1(1855)$
• The Strong Decay Patterns of the $1^{-+}$ Exotic Hybrid Mesons
• Analysis of the ${\eta }_1(1855)$ as a $K{\bar{K}}_1(1400)$ molecular state
• $1^{-+}$ Hybrid in $J/\psi$ Radiative Decays from Lattice QCD
• Revisiting the b1 pi and rho pi decay modes of the 1-+ light hybrid state with light-cone QCD sum rules
• Production of the ${\eta }_1(1855)$ through kaon induced reactions under the assumptions that it is a molecular or a hybrid state
• Hybrid States from Constituent Glue Model
• Mass Predictions of Vector ($1^{--}$) Double-gluon Heavy Quarkonium Hybrids from QCD Sum Rules
• Light double-gluon hybrid states from QCD sum rules
• Mass of $1^{-+}$ four-quark--hybrid mixed states

Cited by in corpus (4)

• Fully-strange tetraquark states with the exotic quantum numbers $J^{PC}=0^{+-}$ and $2^{+-}$
• Light tetraquark states with exotic quantum numbers $J^{PC}=2^{+-}$
• Double-gluon charmonium hybrid states with various (exotic) quantum numbers
• Towards heavy double-gluon hybrid mesons with exotic quantum numbers in QCD sum rules