Predictions of the hybrid mesons with exotic quantum numbers $J^{PC}=2^{+-}$

Abstract

We study the non-strange and strangeonium light hybrid mesons with $J^{PC}=2^{+-}$ by using the method of QCD sum rules. The local hybrid interpolating currents with three Lorentz indices are constructed to couple to such exotic quantum numbers. We calculate the correlation functions up to dimension eight condensates at the leading order of ${\alpha }_s$. In our results, the masses of the non-strange $b_2$ and $h_2$ hybrids are about $2.65\mathrm{GeV}$, while that of the strangeonium $h_2^{\prime }$ hybrid is about $2.72\mathrm{GeV}$. Such exotic $2^{+-}$ hybrids can be generated through both the two-gluon and three-gluon emission processes in the radiative decays of ${\chi }_{cJ}$. Moreover, these hybrid mesons may be detectable due to their peculiar decay behaviors and small decay widths. Using the high-statistics data samples of $\psi (3686)$ in BESIII and BelleII, it is possible to hunt for such hybrid states through the partial wave analyses in the $b_2\to \omega /a_1/h_1/a_2\pi \to 4\pi$, $h_2\to \rho \pi \to 3\pi$ and $h_2\to b_1\pi \to 5\pi$ processes.

7 pages, 6 figures. Published in Phys. Rev. D

References in corpus (26)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• An updated review of the new hadron states
• Excited and exotic charmonium spectroscopy from lattice QCD
• 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
• Isoscalar meson spectroscopy from lattice QCD
• Exotic and excited-state radiative transitions in charmonium from lattice QCD
• Heavy quarkonium hybrids from Coulomb gauge QCD
• Observation of an isoscalar resonance with exotic $J^{PC}=1^{-+}$ quantum numbers in $J/\psi \to \gamma \eta {\eta }^{\prime }$
• Odd and Even Partial Waves of $\eta {\pi }^{-}$ and ${\eta }^{\prime }{\pi }^{-}$ in ${\pi }^{-}p\to {\eta }^{(\prime )}{\pi }^{-}p$ at $191\text{GeV}/c$
• Partial wave analysis of $J/\psi \to \gamma \eta {\eta }^{\prime }$
• Hybrid meson properties in Lattice QCD and Flux Tube Models
• Towards the establishment of the light $J^{P(C)}=1^{-(+)}$ hybrid nonet
• The phenomenology of the exotic hybrid nonet with ${\pi }_1(1600)$ and ${\eta }_1(1855)$
• QCD axial anomaly enhances the $\eta {\eta }^{\prime }$ decay of the hybrid candidate ${\eta }_1(1855)$
• Analysis of the ${\eta }_1(1855)$ as a $K{\bar{K}}_1(1400)$ molecular state
• NLO results with operator mixing for fully heavy tetraquarks in QCD sum rules
• $1^{-+}$ Hybrid in $J/\psi$ Radiative Decays from Lattice QCD
• Constructing the $J^{P(C)}=1^{-(+)}$ light flavor hybrid nonet with the newly observed ${\eta }_1(1855)$
• On the ${\eta }_1(1855)$, ${\pi }_1(1400)$ and ${\pi }_1(1600)$ as dynamically generated states and their SU(3) partners
• Radiative production and decays of the exotic ${\eta }_1^{\prime }(1855)$ and its siblings
• Heavy-light hybrid mesons with different spin-parities
• Revealing the inner structure of the newly observed ${\eta }_1(1855)$ via photoproduction
• The hybrid nonet of ${\pi }_1(1600)$ and ${\eta }_1(1855)$: analysis and predictions for the kaonic members

Cited by in corpus (3)

• Mass spectrum of the hidden-charm hybrid states via the QCD sum rules
• Light tetraquark states with exotic quantum numbers $J^{PC}=2^{+-}$
• Towards heavy double-gluon hybrid mesons with exotic quantum numbers in QCD sum rules