Neural Network Study of Hidden-Charm Pentaquark Resonances

Abstract

Very recently, LHCb experiment announced the observation of hidden-charm pentaquark states $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$ near the ${\Sigma }_c\bar{D}$ and ${\Sigma }_c{\bar{D}}^{\ast }$ thresholds, respectively. In this present work, we studied thesepentaquarks in the framework of the nonrelativistic quark model with four types of potential. We solved 5-body Schrödinger equation by using artificial neural network method and made predictions of parities for these states which are not determined in the experiment yet. The mass of another possible pentaquark state near the ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ with $J^P=5/2^{-}$ is also calculated.

Comments: 10 pages, 3 figures, 7 tables, Accepted in Chinese Physics C