Decay of an exoticqq¯ghybrid meson

We study decay modes and decay widths of an exotic $q\overline{q}g\left(1^{-+}\right)$ meson. Three possible decay mechanisms—the process allowed by the Okubo-Zweig-Iizuka (OZI) rule, the $q\overline{q}g-q\overline{q}$ mixing process and the OZI-rule-semiforbidden process—are investigated. Principal decay modes of the $q\overline{q}g(1^{-+}, I=1, \frac{1}{2})$ into ordinary mesons are expected to be $q\overline{q}g(1^{-+}, I=1)\to \pi \eta$ and $q\overline{q}g(1^{-+}, I=\frac{1}{2})\to \pi K$. These decay widths are predicted to be ∼50 MeV. For the $q\overline{q}g(1^{-+}, I=0)$ meson, the main decay mode into ordinary mesons depends on its mass. For $m_{q\overline{q}g}\lesssim 1300$ MeV, this meson decays mainly into $\pi \pi \rho$ ($\Gamma <1\mathrm{}$ MeV), but if $m_{q\overline{q}g}\gtrsim 1500$ MeV, it decays into $\eta {\eta }^{\prime }$, $K{K}^{*}$, and $\pi A_1$ ($\Gamma \gtrsim 10$ MeV). We also expect OZI-rule-allowed processes such as $q\overline{q}g\left(1^{-+}\right)\to \pi q\overline{q}g\left(0^{-+}\right)$. This decay width is predicted to be ∼20 MeV.