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.

arXiv comment11 pages, 4 tables. To match the published version in Phys.Lett.B

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Cited by in corpus (101)

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• Molecular Interpretation of the $P_c(4440)$ and $P_c(4457)$ States
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• Revisiting the nature of the $P_c$ pentaquarks
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• Recently observed $P_c$ as molecular states and possible mixture of $P_c(4457)$
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• How to reveal the nature of three or more pentaquark states?
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• Hidden charm pentaquark states in a diquark model
• Double Polarization Observables in Pentaquark Photoproduction
• Analysis of the hidden-charm pentaquark molecular states with strangeness and without strangeness via the QCD sum rules
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• The magnetic moment of $P_c(4312)$ as a $\bar{D}{\Sigma }_c$ molecular state
• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
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• A unified description of the hidden-charm tetraquark states $Z_{cs}(3985)$, $Z_c(3900)$ and $X(4020)$
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• Triply charmed dibaryons in the one boson exchange model
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• Systematic study on production of hidden-bottom pentaquark via $\gamma p$ and ${\pi }^{-}p$ scatterings
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• Prompt production of the hidden charm pentaquarks in the LHC
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• Exploring the spectrum of the hidden charm strange pentaquark in an SU(4) flavor-spin model
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• Unravelling Pentaquarks with Born--Oppenheimer effective theory
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