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$P_c$ states in the mixture of molecular and pentaquark pictures (2310.15493v1)

Published 24 Oct 2023 in hep-ph

Abstract: We systematically study hidden charm pentaquark states in the constituent quark model with a general Hamiltonian for multiquark systems, considering the coupling between the $\Sigma_c{()}\bar{D}{()}$ molecular states and the $q3c\bar c$ compact pentaquark states by the one-gluon exchange hyperfine interaction. The ground state hidden-charm pentaquark mass spectra and the strong decay widths are calculated. This work suggests that $P_c(4312)$, $P_c(4457)$ and $P_c(4380)$ resonances might be mainly $\Sigma_c \bar D$, $\Sigma_c \bar D*$ and $\Sigma_c* \bar D$ hadronic molecules respectively, and $P_c(4440)$ might include sizable pentaquark components.

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