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.

4 pages

References in corpus (5)

• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• The hidden charm pentaquarks are the hidden color-octet $uud$ baryons?

Cited by in corpus (12)

• 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 $P_c(4457)$
• Interpretation of the Narrow $J/\psi p$ Peaks in ${\Lambda }_b\to J/\psi p{K}^{-}$ Decay in the Compact Diquark Model
• Possibility to study pentaquark states $P_c(4312),P_c(4440)$, and $P_c(4457)$ in $\gamma p\to J/\psi p$ reaction
• 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
• Peaks within peaks and the possible two-peak structure of the Pc(4457): the effective field theory perspective
• Prompt production of the hidden charm pentaquarks in the LHC
• 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
• Hadronic molecules and multiquark states