The Strong Decay Patterns of the $1^{-+}$ Exotic Hybrid Mesons

Abstract

We calculate the coupling constants of the decay modes $1^{-+}\to \rho \pi ,f_1\pi ,b_1\pi ,\eta \pi ,{\eta }^{\prime }\pi ,a_1\pi ,f_1\eta$ within the framework of the light-cone QCD sum rule. Then we calculate the partial width of these decay channels, which differ greatly from the existing calculations using phenomenological models. For the isovector $1^{-+}$ state, the dominant decay modes are $\rho \pi ,f_1\pi$. For its isoscalar partner, its dominant decay mode is $a_1\pi$. We also discuss the possible search of the $1^{-+}$ state at BESIII, for example through the decay chains $J/\psi ({\psi }^{\prime })\to {\pi }_1+\gamma$ or $J/\psi ({\psi }^{\prime })\to {\pi }_1+\rho$ where ${\pi }_1$ can be reconstructed through the decay modes ${\pi }_1\to \rho \pi \to {\pi }^{+}{\pi }^{-}{\pi }^0$ or ${\pi }_1\to f_1(1285){\pi }^0$. Hopefully the present work will be helpful to the experimental establishment of the $1^{-+}$ hybrid meson.

arXiv comment14 pages, 10 figures

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• Partial wave analysis of $J/\psi \to \gamma \eta {\eta }^{\prime }$
• Towards the establishment of the light $J^{P(C)}=1^{-(+)}$ hybrid nonet
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• $S$- and $P$-wave fully-strange tetraquark states from QCD sum rules
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• Revisiting the b1 pi and rho pi decay modes of the 1-+ light hybrid state with light-cone QCD sum rules
• Mass Predictions of Vector ($1^{--}$) Double-gluon Heavy Quarkonium Hybrids from QCD Sum Rules
• Angular momentum coefficients for meson strong decay and unquenched quark models
• Constructing the $J^{P(C)}=1^{-(+)}$ light flavor hybrid nonet with the newly observed ${\eta }_1(1855)$
• Radiative production and decays of the exotic ${\eta }_1^{\prime }(1855)$ and its siblings
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• 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 $3^{-+}$
• Instanton Effects in QCD Sum Rules for the $0^{++}$ Hybrid
• The strong coupling $g_{XJ/\psi \varphi }$ of $X(4700)\to J/\psi \varphi$ in the light-cone sum rules
• Chiral corrections to the $1^{-+}$ exotic meson mass
• $\rho$ Meson Decays of Heavy Hybrid Mesons