Analysis of the hidden-charm pentaquark molecular states with strangeness and without strangeness via the QCD sum rules

Abstract

In this article, we investigate the $\bar{D}{\Sigma }_c$, $\bar{D}{\Xi }_c^{\prime }$, $\bar{D}{\Sigma }_c^{\ast }$, $\bar{D}{\Xi }_c^{\ast }$, ${\bar{D}}^{\ast }{\Sigma }_c$, ${\bar{D}}^{\ast }{\Xi }_c^{\prime }$, ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ and ${\bar{D}}^{\ast }{\Xi }_c^{\ast }$ pentaquark molecular states with strangeness and without strangeness via the QCD sum rules at length, pay much attention to the light flavor $SU(3)$ breaking effects, and make predictions for new pentaquark molecular states besides assigning the $P_c(4312)$, $P_c(4380)$, $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$ self-consistently. We can search for those pentaquark molecular states in the decays of the ${\Lambda }_b^0$, ${\Xi }_b^0$ and ${\Xi }_b^{-}$ in the future. Furthermore, we discuss the higher dimensional vacuum condensates in details.

Comments: 15 pages, 10 figures