Exploring the molecular scenario of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$

Abstract

In the present work, we assign the newly observed $P_c(4312)$ as a $I(J^P)=\frac{1}{2}(\frac{1}{2}{)}^{-}$ molecular state composed of ${\Sigma }_c\bar{D}$, while $P_c(4440)$ and $P_c(4457)$ as ${\Sigma }_c{\bar{D}}^{\ast }$ molecular states with $I(J^P)=\frac{1}{2}(\frac{1}{2}{)}^{-}$ and $\frac{1}{2}(\frac{3}{2}{)}^{-}$, respectively. In this molecular scenario, we investigate the $P_c\to J/\psi p$ process of these three states and further predict the ratios of the $\mathcal{B}(P_c\to J/\psi p)$ and those of $\mathcal{B}({\Lambda }_b\to P_{c}K)$ between these three states, which could serve as a crucial test of the present molecular scenario.

6 pages, 5 figures