Heavy quark spin multiplet structure of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$

Abstract

Very recently, the LHCb collaboration has reported the new result about the hidden-charm pentaquarks: $P_c(4312)$ near the $\bar{D}{\Sigma }_c$ threshold, and $P_c(4440)$ and $P_c(4457)$ near ${\bar{D}}^{\ast }{\Sigma }_c$ threshold. We study the heavy quark spin (HQS) multiplet structures of these newly $P_c$ pentaquarks under the heavy quark spin symmetry based on the hadronic molecular picture. We point out that $P_c(4312)$ is the $J^P=1/2^{-}$ member of an HQS triplet, and $P_c(4440)$ and $P_c(4457)$ are the $J^P=3/2^{-}$ member of the HQS triplet and an HQS singlet with $J^P=3/2^{-}$. Namely, the $P_c(4312)$ and one of $P_c(4440)$ and $P_c(4457)$ belong to an HQS triplet. The HQS multiplet structure predicts the existence of $J^P=5/2^{-}$ state near ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ threshold.

arXiv comment4 pages

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Cited by in corpus (26)

• 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 $P_c(4457)$
• The hidden charm pentaquark states and ${\Sigma }_c{\bar{D}}^{(\ast )}$ interaction in chiral perturbation theory
• Interpretation of the Narrow $J/\psi p$ Peaks in ${\Lambda }_b\to J/\psi p{K}^{-}$ Decay in the Compact Diquark Model
• Strong decays of the latest LHCb pentaquark candidates in hadronic molecule pictures
• Interpretation of the LHCb Pc(4312) Signal
• One pion exchange and the quantum numbers of the Pc(4440) and Pc(4457) pentaquarks
• Decays of $P_c$ into $J/\psi N$ and ${\eta }_{c}N$ with heavy quark spin symmetry
• Possibility to study pentaquark states $P_c(4312),P_c(4440)$, and $P_c(4457)$ in $\gamma p\to J/\psi p$ reaction
• Production of $P_c$ states from ${\Lambda }_b$ decay
• Probing new types of $P_c$ states inspired by the interaction between an $S$-wave charmed baryon and an anticharmed meson in a $\bar{T}$ doublet state
• Decay behaviors of possible ${\Lambda }_{c\bar{c}}$ states in hadronic molecule pictures
• Doubly Charmed Pentaquarks
• How to reveal the nature of three or more pentaquark states?
• The magnetic moment of $P_c(4312)$ as a $\bar{D}{\Sigma }_c$ molecular state
• $QQ\bar{s}\bar{s}$ tetraquarks in the chiral quark model
• Pion-induced production of hidden-charm pentaquarks $P_c(4312),P_c(4440)$, and $P_c(4457)$
• Spectrum of the $uudc\bar{c}$ hidden charm pentaquark with an SU(4) flavor-spin hyperfine interaction
• Peaks within peaks and the possible two-peak structure of the Pc(4457): the effective field theory perspective
• The hadronic coupling constants of the lowest hidden-charm pentaquark state with the QCD sum rules in rigorous quark-hadron duality
• Prompt production of the hidden charm pentaquarks in the LHC
• Exotic pentaquark states with the $qqQQ\bar{Q}$ configuration
• Heavy quark spin partners of the $Y(4260)$ in coupled-channel formalism
• Regarding the possibility to observe the LHCb hidden-charm strange pentaquark $P_{cs}(4459{)}^0$ in antikaon-induced $J/\psi$ meson production on protons and nuclei near the $J/\psi$$\Lambda$ production threshold
• The possibility to study in-medium modification of $J/\psi$ mesons from their photoproduction on nuclei near threshold in the case of presence of the LHCb pentaquark states $P_c^{+}$ in this photoproduction
• Hadronic molecules and multiquark states