$1^{-+}$ Hybrid in $J/\psi$ Radiative Decays from Lattice QCD

Abstract

We present the first theoretical prediction of the production rate of $1^{-+}$ light hybrid meson ${\eta }_1$ in $J/\psi$ radiative decays. In the $N_f=2$ lattice QCD formalism with the pion mass $m_{\pi }\approx 350$ MeV, the related electromagnetic multipole form factors are extracted from the three-point functions that involve necessarily quark annihilation diagrams, which are calculated through the distillation method. The partial width of $J/\psi \to \gamma {\eta }_1$ is determined to be $2.29(77)\mathrm{eV}$ at the ${\eta }_1$ mass $m_{{\eta }_1}=2.23(4)$ GeV. If ${\eta }_1$ corresponds to the recently observed ${\eta }_1(1855)$ in the process $J/\psi \to \gamma {\eta }_1(1855)\to \gamma \eta {\eta }^{\prime }$ by BESIII, then the branching fraction $\mathrm{Br}(J/\psi \to \gamma {\eta }_1(1855))$ is estimated to be $6.2(2.2)\times 10^{-5}$, which implies $\mathrm{Br}({\eta }_1(1855)\to \eta {\eta }^{\prime })\sim 4.3\%$.

arXiv commentv2: Published in prd

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Cited by in corpus (13)

• Constructing the $J^{P(C)}=1^{-(+)}$ light flavor hybrid nonet with the newly observed ${\eta }_1(1855)$
• Fully-strange tetraquark states with the exotic quantum numbers $J^{PC}=0^{+-}$ and $2^{+-}$
• Light double-gluon hybrid states with the exotic quantum numbers $J^{PC}=1^{-+}$ and $3^{-+}$
• Predictions of the hybrid mesons with exotic quantum numbers $J^{PC}=2^{+-}$
• Revealing the inner structure of the newly observed ${\eta }_1(1855)$ via photoproduction
• Mixing angle of $K_1(1270/1400)$ and the $K{\bar{K}}_1(1400)$ molecular interpretation of ${\eta }_1(1855)$
• Light tetraquark states with exotic quantum numbers $J^{PC}=2^{+-}$
• Double-gluon charmonium hybrid states with various (exotic) quantum numbers
• Mass spectrum of the hidden-charm hybrid states via the QCD sum rules
• Decay properties of light $1^{-+}$ hybrids
• Revisit the heavy quarkonium double-gluon hybrid mesons with exotic quantum numbers
• Systematic study of exotic $1^{-+}$ tetraquark spectroscopy
• Towards heavy double-gluon hybrid mesons with exotic quantum numbers in QCD sum rules