\begin{document}$D^*\bar{D}^*$\end{document} molecular state \begin{document}$Z_c(4000)$\end{document} with isospin \begin{document}$I=1$\end{document} in the coupled channel approach, we suggest the search for this state in the reaction \begin{document}$B^- \to J/\psi \rho^0 K^-$\end{document}. By considering the final state interactions of \begin{document}$J/\psi \rho$\end{document} and \begin{document}$D^{*0}\bar{D}^{*0}$\end{document} and the contribution from the \begin{document}$K_1(1270)$\end{document} resonance, we observed that the \begin{document}$J/\psi\rho$\end{document} mass distribution shows a peak around 4000 MeV, which might be associated with the \begin{document}$D^*\bar{D}^*$\end{document} molecular state \begin{document}$Z_c(4000)$\end{document}. The search for \begin{document}$Z_c(4000)$\end{document} in the reaction \begin{document}$B^- \to J/\psi \rho^0 K^-$\end{document} is critical for understanding the internal structures of exotic hadrons. Our predictions can be tested by the Belle II and LHCb in future studies."> Search for the <inline-formula><tex-math id="M1-1.1">\begin{document}${{{D^*}}\!{{\bar{D}^*}}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/3e9930e3-126c-4a00-a26f-52c91c7657b3/CPC-2020-0206_M1-1.1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/3e9930e3-126c-4a00-a26f-52c91c7657b3/CPC-2020-0206_M1-1.1.png"/></alternatives></inline-formula> molecular state <inline-formula><tex-math id="M2">\begin{document}${{Z_c(4000)}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/3e9930e3-126c-4a00-a26f-52c91c7657b3/CPC-2020-0206_M2.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/3e9930e3-126c-4a00-a26f-52c91c7657b3/CPC-2020-0206_M2.png"/></alternatives></inline-formula> in the reaction <inline-formula><tex-math id="M3">\begin{document}${{B^{-}\! \rightarrow\! J/\psi \rho^0 K^{-}}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/3e9930e3-126c-4a00-a26f-52c91c7657b3/CPC-2020-0206_M3.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/3e9930e3-126c-4a00-a26f-52c91c7657b3/CPC-2020-0206_M3.png"/></alternatives></inline-formula> -
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