Hidden-charm pentaquark states in a mass splitting model
Shi-Yuan Li, Yan-Rui Liu, Zi-Long Man, Zong-Guo Si, Jing Wu
Abstract
Assuming that the ${P}_{\ensuremath{\psi}}^{N}(4312{)}^{+}$ is a $I({J}^{P})=\frac{1}{2}({\frac{3}{2}}^{\ensuremath{-}})$ 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 ${P}_{\ensuremath{\psi}}^{N}(4457{)}^{+}$, ${P}_{\ensuremath{\psi}}^{N}(4440{)}^{+}$, and ${P}_{\ensuremath{\psi}}^{N}(4337{)}^{+}$ can be assigned to be $I({J}^{P})=\frac{1}{2}({\frac{3}{2}}^{\ensuremath{-}})$, $\frac{1}{2}({\frac{1}{2}}^{\ensuremath{-}})$, and $\frac{1}{2}({\frac{1}{2}}^{\ensuremath{-}})$, respectively, while both ${P}_{\ensuremath{\psi}s}^{\mathrm{\ensuremath{\Lambda}}}(4338{)}^{0}$ and ${P}_{\ensuremath{\psi}s}^{\mathrm{\ensuremath{\Lambda}}}(4459{)}^{0}$ can be interpreted as $I({J}^{P})=0({\frac{1}{2}}^{\ensuremath{-}})$ $udsc\overline{c}$ compact states. Based on the numerical results, we also find narrow pentaquarks in $ssnc\overline{c}$ ($n=u$, $d$) and $sssc\overline{c}$ systems. The decay properties of the studied pentaquarks and the searching channels for them can be tested in future experiments.