Neural network study of hidden-charm pentaquark resonances

Abstract

Recently, the LHCb experiment announced the observation of hidden-charm pentaquark states P-c(4312), P-c(4440), and P-c(4457) near Sigma(c)(D) over bar and Sigma(c)(D) over bar* thresholds. In this present work, we studied these pentaquarks in the framework of the nonrelativistic quark model with four types of potential. We solved five-body Schrodinger equation by using the artificial neural network method and made predictions of parities for these states, which are not yet determined by experiment. The mass of another possible pentaquark state near the (D) over bar*Sigma(c)* with J(P)= 5/2(-) is also calculated.