\begin{document}$ \eta_1(1855) $\end{document} by the BESIII Collaboration offers great opportunities for advancing our knowledge on exotic hadrons in terms of flavor sector. We demonstrate that this observation provides a crucial clue for establishing the \begin{document}$ J^{P(C)}=1^{-(+)} $\end{document} hybrid nonet. Based on the flux tube model picture, the production and decay mechanisms for the \begin{document}$ J^{P(C)}=1^{-(+)} $\end{document} hybrid nonet in the \begin{document}$ J/\psi $\end{document} radiative decays into two pseudoscalar mesons are investigated. In the \begin{document}$ I=0 $\end{document} sector, we deduce that the SU(3) flavor octet and singlet mixing is non-negligible and apparently deviates from the flavor ideal mixing. Because only signals for one isoscalar \begin{document}$ \eta_1(1855) $\end{document} are observed in the \begin{document}$ \eta\eta' $\end{document} channel, we investigate two schemes of the nonet structure in which \begin{document}$ \eta_1(1855) $\end{document} can either be the higher or lower mass state that strongly couples to \begin{document}$ \eta\eta' $\end{document}. Possible channels for detecting the multiplets are suggested. In particular, a combined analysis of the hybrid production in \begin{document}$ J/\psi\to VH $\end{document}, where \begin{document}$ V $\end{document} and \begin{document}$ H $\end{document} denote the light vector mesons and \begin{document}$ 1^{-(+)} $\end{document} hybrid states, respectively, may provide further evidence for this nonet structure and ultimately establish these mysterious exotic species in the experiment."> Towards the establishment of the light <i>J</i><sup><i>P</i> (<i>C</i> )</sup>=1<sup>–(+)</sup> hybrid nonet -
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