Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$

Abstract

The LHCb Collaboration announced the observation of three narrow structures consistent with hidden-charm pentaquark states. They are candidates of hadronic molecules formed of a pair of a charmed baryon and an anticharmed meson. Among them, the $P_c(4457)$ mass is consistent with earlier predictions of a ${\Sigma }_c{\bar{D}}^{\ast }$ molecule with $I=1/2$. We point out that if such a picture were true, one would have $\mathcal{B}(P_c(4457)\to J/\psi {\Delta }^{+})/\mathcal{B}(P_c(4457)\to J/\psi p)$ at the level ranging from a few percent to about 30%. Such a large isospin breaking decay ratio is two to three orders of magnitude larger than that for normal hadron resonances. It is a unique feature of the ${\Sigma }_c{\bar{D}}^{\ast }$ molecular model, and can be checked by LHCb.

Version to be published as a Rapid Communication in Phys. Rev. D, selected as Editors' Suggestion

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Cited by in corpus (18)

• Pentaquark and Tetraquark states
• Heavy quark spin symmetric molecular states from ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ and other coupled channels in the light of the recent LHCb pentaquarks
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• Possibility to study pentaquark states $P_c(4312),P_c(4440)$, and $P_c(4457)$ in $\gamma p\to J/\psi p$ reaction
• 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 $P_{cs}(4459)$
• Structure and decays of hidden heavy pentaquarks
• How to reveal the nature of three or more pentaquark states?
• Hidden charm pentaquark states in a diquark model
• Heavy quark spin multiplet structure of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Anticharmed strange pentaquarks from the one-boson-exchange model
• Exotic Hadrons at LHCb
• Identify the hidden charm pentaquark signal from non-resonant background in electron-proton scattering
• Substructure of Multiquark Hadrons (Snowmass 2021 White Paper)
• Relations between strong decay widths of the $P_c$ pentaquarks in the SU(4) flavor-spin model
• Study of the hidden charm pentaquarks ${\Lambda }_{c\bar{c}}$ above $4$ GeV