Disentangling the hadronic molecule nature of the $P_c(4380)$ pentaquark-like structure

Abstract: We demonstrate that the relative ratio of the decays of hidden charm pentaquark-like structure $P^+_c(4380)$ to $\bar{D}^* \Lambda_c^+$ and $J/\psi p$ are very different for $P^+_c$ being $\bar{D} \Sigma_c^*(2520)$ or $\bar{D}^* \Sigma_c(2455)$ molecule states. While the partial width of the $\bar{D} \Sigma_c^*(2520)$ molecule to the $\bar{D}^* \Lambda_c^+$ is much larger, by one order of magnitude, than that to the $J/\psi p$, the $\bar{D}^* \Sigma_c(2455)$ molecule shows a different pattern. Our analysis shows that the $\bar{D} \Sigma_c^*$ bound state ansatz is more reasonable than the $\bar{D}^* \Sigma_c$ one to explain the broad $P_c(4380)$ structure. We suggest to search for the $P_c(4380)$ in the $\bar{D}^* \Lambda_c^+$ system, which can be used to disentangle the nature of the $P^+_c(4380)$ structure.