Strong decay patterns of the hidden-charm pentaquark states $P_c(4380)$ and $P_c(4450)$

Abstract

With the heavy quark symmetry and spin rearrangement scheme, we study the strong decay behavior of the hidden-charm pentaquark states with $J^P={\frac{3}{2}}^{\pm },{\frac{5}{2}}^{\pm }$ assuming they are molecular candidates composed of ${\bar{D}}^{(\ast )}$ and ${\Sigma }_c^{(\ast )}$. We obtain several typical ratios of the partial decay widths of the hidden-charm pentaquarks. For the three S-wave $(\bar{D}{\Sigma }_c^{\ast })$, $({\bar{D}}^{\ast }{\Sigma }_c)$ and $({\bar{D}}^{\ast }{\Sigma }_c^{\ast })$ molecular pentaquarks with $J^P={3/2}^{-}$, we have obtained the ratio of their $J/\psi N$ decay widths: $\Gamma \left[(\bar{D}{\Sigma }_c^{\ast })\right]:\Gamma \left[({\bar{D}}^{\ast }{\Sigma }_c)\right]:\Gamma \left[({\bar{D}}^{\ast }{\Sigma }_c^{\ast })\right]=2.7:1.0:5.4$, which may be useful to further test the possible molecular assignment of the $P_c$ states.

Comments: 9 pages