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 (46)

• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• Hidden-charm and hidden-bottom molecular pentaquarks in chiral perturbation 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
• 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 $P_{cs}(4459)$
• Coupled-channel effects of the ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}$-${\Lambda }_c(2595)\bar{D}$ system and molecular nature of the $P_c$ pentaquark states from one-boson exchange model
• Structure and decays of hidden heavy pentaquarks
• Novel approaches in Hadron Spectroscopy
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• How to reveal the nature of three or more pentaquark states?
• Hidden charm pentaquark states in a diquark model
• Analysis of the $P_{cs}(4338)$ and related pentaquark molecular states via the QCD sum rules
• A unified description of the hidden-charm tetraquark states $Z_{cs}(3985)$, $Z_c(3900)$ and $X(4020)$
• $QQ\bar{s}\bar{s}$ tetraquarks in the chiral quark model
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Spectrum of the molecular pentaquarks
• The LHCb state $P_{\psi s}^{\Lambda }(4338)$ as a triangle singularity
• Experimental constraints on the properties of $P_c$ states
• Production of $P_c$ states in ${\Lambda }_b$ decays
• Anticharmed strange pentaquarks from the one-boson-exchange model
• Hidden-charm pentaquark states in a mass splitting model
• Exotic Hadrons at LHCb
• Analysis on the composite nature of the light scalar mesons $f_0(980)$ and $a_0(980)$
• Identify the hidden charm pentaquark signal from non-resonant background in electron-proton scattering
• Double Exotic States Productions in Pion and Kaon Induced Reactions
• 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
• 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 $P_{cs}(4459)$
• Observation of ${\Lambda }_b^0\to {\Lambda }_c^{+}{\bar{D}}^{(\ast )0}{K}^{-}$ and ${\Lambda }_b^0\to {\Lambda }_c^{+}{D}_s^{\ast -}$ decays
• Possible molecules of triple-heavy pentaquarks within the extended local hidden gauge formalism
• Study of the hidden charm pentaquarks ${\Lambda }_{c\bar{c}}$ above $4$ GeV
• Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Xi$ mass spectrum via the QCD sum rules
• Hidden bottom pentaquark in the SU(5) version of the flavor-spin model
• Analysis of the hidden-charm pentaquark candidates in the $J/\psi p$ mass spectrum with QCD sum rules
• Hadronic molecules and multiquark states
• Molecular interpretation of the LHCb pentaquarks from an analysis of $J/\psi p$ spectrum
• Searching for a $P_{cs}(4200)$ state in the ${\Lambda }_b\to \varphi {\eta }_c\Lambda$ reaction
• Compositeness and several applications to exotic hadronic states with heavy quarks
• Molecular pentaquarks composed of a ground-state octet baryon and a $P-$wave anticharmed meson