Based on the prediction of a $D^*\bar{D}^*$ molecular state $Z_c(4000)$ with isospin $I=1$ in the coupled channel approach, we suggest to search for this state in the reaction $B^- \to J/\psi \rho^0 K^-$. By taking into account the final state interactions of $J/\psi \rho$ and $D^{*0}\bar{D}^{*0}$, and the contribution from the $K_1(1270)$ resonance, we find that the $J/\psi\rho$ mass distribution shows a peak around 4000~MeV, which could be associated to the $D^*\bar{D}^*$ molecular state $Z_c(4000)$. Searching for the $Z_c(4000)$ in the reaction $B^- \to J/\psi \rho^0 K^-$ is crucial to understand the internal structures of the exotic hadrons, and our predictions can be tested by the Belle II and LHCb in future.

中文翻译：

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在反应 ${{B^{-} 中寻找 ${{{D^*}}\!{{\bar{D}^*}}}$ 分子态 ${{Z_c(4000)}}$ \! \右箭头\！J/\psi \rho^0 K^{-}}}$

基于耦合通道方法中同位旋 $I=1$ 的 $D^*\bar{D}^*$ 分子态 $Z_c(4000)$ 的预测，我们建议在反应 $ B^- \to J/\psi \rho^0 K^-$。通过考虑 $J/\psi \rho$ 和 $D^{*0}\bar{D}^{*0}$ 的最终状态相互作用，以及 $K_1(1270)$ 共振的贡献，我们发现 $J/\psi\rho$ 质量分布在 4000~MeV 附近显示出一个峰值，这可能与 $D^*\bar{D}^*$ 分子态 $Z_c(4000)$ 相关。在反应 $B^- \to J/\psi \rho^0 K^-$ 中寻找 $Z_c(4000)$ 对理解奇异强子的内部结构至关重要，我们的预测可以通过未来的 Belle II 和 LHCb。