\begin{document}$ J/\psi \to f_0 (1710) \omega/f_0(1710) \phi $\end{document} and the light exotic candidates, we found that there may exist molecular states composed of \begin{document}$ f_0(1710) \omega $\end{document} and \begin{document}$ f_0 (1710) \phi $\end{document}, which correspond to \begin{document}$ X(2440) $\end{document} and \begin{document}$ X(2680) $\end{document} observed a few decades ago. The branching fractions of \begin{document}$ X(2440) $\end{document} and \begin{document}$ X(2680) $\end{document}to various \begin{document}$ PV $\end{document} and \begin{document}$ KK\omega(\phi) $\end{document} channels were estimated in the molecular scenario. In addition, the large branching fractions of \begin{document}$ J/\psi \to f_0 (1710) \omega/f_0(1710) \phi $\end{document} indicate sizable molecular components in the \begin{document}$ J/\psi $\end{document} state. Thus, we consider \begin{document}$ J/\psi $\end{document}as the superposition of the\begin{document}$ c\bar{c}(1S) $\end{document}, \begin{document}$ f_0(1710) \omega $\end{document}, and \begin{document}$ f_0 (1710) \phi $\end{document} molecular states. These molecular components have a significant impact on the light hadron decays of \begin{document}$ J/\psi $\end{document}, which may elucidate the long standing \begin{document}$ \rho-\pi $\end{document} puzzle."> Molecular components in <i>J</i>/<i>ψ</i> and <i>ρ</i>-<i>π</i> puzzle -
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