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 $\bar{D}^* Λ_c^+$ and $J/ψp$ are very different for $P^+_c$ being $\bar{D} Σ_c^*(2520)$ or $\bar{D}^* Σ_c(2455)$ molecule states. While the partial width of the $\bar{D} Σ_c^*(2520)$ molecule to the $\bar{D}^* Λ_c^+$ is much larger, by one order of magnitude, than that to the $J/ψp$, the $\bar{D}^* Σ_c(2455)$ molecule shows a different pattern. Our analysis shows that the $\bar{D} Σ_c^*$ bound state ansatz is more reasonable than the $\bar{D}^* Σ_c$ one to explain the broad $P_c(4380)$ structure. We suggest to search for the $P_c(4380)$ in the $\bar{D}^* Λ_c^+$ system, which can be used to disentangle the nature of the $P^+_c(4380)$ structure.