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

Comments: accepted version for Nucl. Phys. A