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Neural Network Study of Hidden-Charm Pentaquark Resonances
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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 Schr\"odinger 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.
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Cited by 1 Pith paper
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Molecular Interpretation of the $P_c(4440)$ and $P_c(4457)$ States
The paper predicts Pc(4440) has J^P = 3/2- and Pc(4457) has J^P = 1/2+ in a pion-exchange coupled-channel model without short-range terms.
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