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.

Comments: 14 pages, 10 figures