Hidden-charm pentaquark states in a mass splitting model

Abstract

Assuming that the $P_c(4312{)}^{+}$ is a $I(J^P)=\frac{1}{2}({\frac{3}{2}}^{-})$ compact pentaquark, we study the mass spectrum of its S-wave hidden-charm partner states in a color-magnetic interaction model. Combining the information from their decays obtained in a simple rearrangement scheme, one finds that the quantum numbers of $P_c(4457{)}^{+}$, $P_c(4440{)}^{+}$, and $P_c(4337{)}^{+}$ can be assigned to be $I(J^P)=\frac{1}{2}({\frac{3}{2}}^{-})$, $\frac{1}{2}({\frac{1}{2}}^{-})$, and $\frac{1}{2}({\frac{1}{2}}^{-})$, respectively, while both $P_{cs}(4338{)}^0$ and $P_{cs}(4459{)}^0$ can be interpreted as $I(J^P)=0({\frac{1}{2}}^{-})$ $udsc\bar{c}$ compact states. Based on the numerical results, we also find narrow pentaquarks in $ssnc\bar{c}$ ($n=u,d$) and $sssc\bar{c}$ systems. The decay properties of the studied pentaquarks and the searching channels for them can be tested in future experiments.

Comments: 17 pages, 14 tables, 4 figures