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.

arXiv comment10 pages, 3 figures, 7 tables, Accepted in Chinese Physics C

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• Prediction of hidden charm strange molecular baryon states with heavy quark spin symmetry
• Analysis of the $P_c(4312)$, $P_c(4440)$, $P_c(4457)$ and related hidden-charm pentaquark states with QCD sum rules
• Molecular Interpretation of the $P_c(4440)$ and $P_c(4457)$ States
• $P_c(4457{)}^{+}$, $P_c(4440{)}^{+}$, and $P_c(4312{)}^{+}$: molecules or compact pentaquarks?
• Decays of $P_c$ into $J/\psi N$ and ${\eta }_{c}N$ with heavy quark spin symmetry
• Can the newly $P_{cs}(4459)$ be a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecular pentaquarks?
• Can discovery of hidden charm strange pentaquark states help determine the spins of $P_c(4440)$ and $P_c(4457)$?
• Analysis of the $P_{cs}(4459)$ as the hidden-charm pentaquark state with QCD sum rules
• Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$
• Production of $P_c$ states from ${\Lambda }_b$ decay
• Magnetic moments and transition magnetic moments of $P_c$ and $P_{cs}$ states
• Analysis of the strong decays of the $P_c(4312)$ as a pentaquark molecular state with QCD sum rules
• Doubly Charmed Pentaquarks
• Mass behavior of hidden-charm pentaquarks with open-strange inspired by these established $P_c$ molecular states
• Pion-induced production of hidden-charm pentaquarks $P_c(4312),P_c(4440)$, and $P_c(4457)$
• $QQ\bar{s}\bar{s}$ tetraquarks in the chiral quark model
• Spin-parities of the $P_c(4440)$ and $P_c(4457)$ in the One-Boson-Exchange Model
• Quasinormal modes of dS and AdS Black Holes: Feedforward neural network method
• Hidden-charm pentaquark states in a mass splitting model
• Three-body molecules $\bar{D}{\bar{D}}^{\ast }{\Sigma }_c$- understanding the nature of $T_{cc}$, $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Search for hidden-charm pentaquark states in three-body final states
• Neural Network Solutions to Differential Equations in Non-Convex Domains: Solving the Electric Field in the Slit-Well Microfluidic Device
• Radiative decay and axial-vector decay behaviors of octet pentaquark states
• Studying First Passage Problems using Neural Networks: A Case Study in the Slit-Well Microfluidic Device