Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$

Abstract

We study the newly reported hidden-charm pentaquark candidates $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ from the LHCb Collaboration, in the framework of the effective-range expansion and resonance compositeness relations. The scattering lengths and effective ranges from the $S$-wave ${\Sigma }_c\bar{D}$ and ${\Sigma }_c{\bar{D}}^{\ast }$ scattering are calculated by using the experimental results of the masses and widths of the $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$. Then we calculate the couplings between the $J/\psi p,{\Sigma }_c\bar{D}$ channels and the pentaquark candidate $P_c(4312)$, with which we further estimate the probabilities of finding the $J/\psi p$ and ${\Sigma }_c\bar{D}$ components inside $P_c(4312)$. The partial decay widths and compositeness coefficients are calculated for the $P_c(4440)$ and $P_c(4457)$ states by including the $J/\psi p$ and ${\Sigma }_c{\bar{D}}^{\ast }$ channels. Similar studies are also carried out for the three $P_c$ states by including the ${\Lambda }_c{\bar{D}}^{\ast }$ and ${\Sigma }_c{\bar{D}}^{(\ast )}$ channels.

11 pages, 4 tables. To match the published version in Phys.Lett.B

References in corpus (12)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Exotics: Heavy Pentaquarks and Tetraquarks
• 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
• Pion Interactions in the X(3872)
• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• Interpretation of the Narrow $J/\psi p$ Peaks in ${\Lambda }_b\to J/\psi p{K}^{-}$ Decay in the Compact Diquark Model
• Heavy quark spin multiplet structure of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$

Cited by in corpus (66)

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• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• Hidden-charm and hidden-bottom molecular pentaquarks in chiral perturbation theory
• Revisiting the nature of the $P_c$ pentaquarks
• The $P_{cs}(4459)$ pentaquark from a combined effective field theory and phenomenological perspective
• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
• 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
• Insights into the inner structures of the fully charmed tetraquark state $X(6900)$
• Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$
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• Structure and decays of hidden heavy pentaquarks
• $P_c(4312{)}^{+}$, $P_c(4380{)}^{+}$, and $P_c(4457{)}^{+}$ as double triangle cusps
• Novel approaches in Hadron Spectroscopy
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• Recently observed $P_c$ as molecular states and possible mixture of $P_c(4457)$
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• Pole analysis on the hadron spectroscopy of ${\Lambda }_b\to J/\Psi p{K}^{-}$
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• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
• A unified description of the hidden-charm tetraquark states $Z_{cs}(3985)$, $Z_c(3900)$ and $X(4020)$
• Analysis of the $P_{cs}(4338)$ and related pentaquark molecular states via the QCD sum rules
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• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
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• Production of $P_c$ states in ${\Lambda }_b$ decays
• Experimental constraints on the properties of $P_c$ states
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• Anticharmed strange pentaquarks from the one-boson-exchange model
• The hadronic coupling constants of the lowest hidden-charm pentaquark state with the QCD sum rules in rigorous quark-hadron duality
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• Exotic Hadrons at LHCb
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• Prompt production of the hidden charm pentaquarks in the LHC
• Recoupling Mechanism for exotic mesons and baryons
• Identify the hidden charm pentaquark signal from non-resonant background in electron-proton scattering
• Double Exotic States Productions in Pion and Kaon Induced Reactions
• Exploring the spectrum of the hidden charm strange pentaquark in an SU(4) flavor-spin model
• Probing hidden-bottom pentaquarks in fixed-target collisions at the LHC
• Unravelling Pentaquarks with Born--Oppenheimer effective theory
• Molecular pentaquark states with open charm and bottom flavors
• Two-body wave functions and compositeness from scattering amplitudes: II. Application to the physical $N^{\ast }$ and ${\Delta }^{\ast }$ resonances
• Relations between strong decay widths of the $P_c$ pentaquarks in the SU(4) flavor-spin model
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Insights into the nature of the $P_{cs}(4459)$
• Possible molecules of triple-heavy pentaquarks within the extended local hidden gauge formalism
• Observation of ${\Lambda }_b^0\to {\Lambda }_c^{+}{\bar{D}}^{(\ast )0}{K}^{-}$ and ${\Lambda }_b^0\to {\Lambda }_c^{+}{D}_s^{\ast -}$ decays
• Study of the hidden charm pentaquarks ${\Lambda }_{c\bar{c}}$ above $4$ GeV
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• Hadronic molecules and multiquark states
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