One pion exchange and the quantum numbers of the Pc(4440) and Pc(4457) pentaquarks

Abstract

The LHCb collaboration has recently discovered three pentaquark-like states --- the $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ --- close to the $\bar{D}{\Sigma }_c$ and the ${\bar{D}}^{\ast }{\Sigma }_c$ meson-baryon thresholds. The standard interpretation is that they are heavy antimeson-baryon molecules. Their quantum numbers have not been determined yet, which implies two possibilities for the $P_c(4440)$ and $P_c(4457)$: $J^P={\frac{1}{2}}^{-}$ and $J^P={\frac{3}{2}}^{-}$. The preferred interpretation within a contact-range effective field theory is that the $P_c(4440)$ is the $J^P={\frac{1}{2}}^{-}$ molecule, while the $P_c(4457)$ is the $J^P={\frac{3}{2}}^{-}$ one. Here we show that when the one pion exchange potential between the heavy-antimeson and heavy-baryon is taken into account, this conclusion changes, with the contrary identification being as likely as the original one. The identification is however cutoff dependent, which suggests that improvements of the present description (e.g. the inclusion of subleading order corrections, like two-pion exchanges) are necessary in order to disambiguate the spectroscopy of the molecular pentaquarks.

9 pages, 5 tables

References in corpus (19)

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• 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
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Heavy quark spin symmetric molecular states from ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ and other coupled channels in the light of the recent LHCb pentaquarks
• Possible interpretations of the $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Exploring the molecular scenario of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• The hidden charm pentaquark states and ${\Sigma }_c{\bar{D}}^{(\ast )}$ interaction in chiral perturbation theory
• $P_c(4457{)}^{+}$, $P_c(4440{)}^{+}$, and $P_c(4312{)}^{+}$: molecules or compact pentaquarks?
• Interpretation of the LHCb Pc(4312) Signal
• Calculation of the heavy-hadron axial couplings g_1, g_2, and g_3 using lattice QCD
• Decays of $P_c$ into $J/\psi N$ and ${\eta }_{c}N$ with heavy quark spin symmetry
• Heavy-Quark Symmetry Partners of the Pc(4450) Pentaquark
• Heavy quark spin multiplet structure of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Remarks on the Heavy-Quark Flavour Symmetry for doubly heavy hadronic molecules

Cited by in corpus (49)

• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Molecular Interpretation of the $P_c(4440)$ and $P_c(4457)$ States
• $X_0(2866)$ as a $D^{\ast }{\bar{K}}^{\ast }$ molecular state
• Revisiting the nature of the $P_c$ pentaquarks
• Systematics of the heavy flavor hadronic molecules
• Can discovery of hidden charm strange pentaquark states help determine the spins of $P_c(4440)$ and $P_c(4457)$?
• Probing hidden-charm decay properties of $P_c$ states in a molecular scenario
• 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
• Magnetic moments and transition magnetic moments of $P_c$ and $P_{cs}$ states
• 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
• Magnetic moments of the hidden-charm strange pentaquark states
• Kinematical Cusp and Resonance Interpretations of the $X(2900)$
• Recently observed $P_c$ as molecular states and possible mixture of $P_c(4457)$
• Doubly charmed molecular pentaquarks
• Heavy-hadron molecules from light-meson-exchange saturation
• One Born$-$Oppenheimer Effective Theory to rule them all: hybrids, tetraquarks, pentaquarks, doubly heavy baryons and quarkonium
• Model independent determination of the spins of the $P_c$(4440) and $P_c$(4457) from the spectroscopy of the triply charmed dibaryons
• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
• Interpretations of the new LHCb $P_c(4337{)}^{+}$ pentaquark state
• Spin-parities of the $P_c(4440)$ and $P_c(4457)$ in the One-Boson-Exchange Model
• Heavy-hadron molecular spectrum from light-meson exchange saturation
• Production of $P_c$ states in ${\Lambda }_b$ decays
• Partial decay widths of $P_c(4312)$ as a $\bar{D}{\Sigma }_c$ molecular state
• Is $X(7200)$ the heavy anti-quark diquark symmetry partner of $X(3872)$?
• Photoproduction of strange hidden-charm and hidden-bottom states
• Hidden-charm pentaquark states through the current algebra: From their productions to decays
• Anticharmed strange pentaquarks from the one-boson-exchange model
• Peaks within peaks and the possible two-peak structure of the Pc(4457): the effective field theory perspective
• Decay properties of $P_c$ states through the Fierz rearrangement
• Isospin eigenstates of the color singlet-singlet type pentaquark states
• Exotic Hadrons at LHCb
• Triply charmed dibaryons in the one boson exchange model
• Three-body molecules $\bar{D}{\bar{D}}^{\ast }{\Sigma }_c$- understanding the nature of $T_{cc}$, $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Prompt production of the hidden charm pentaquarks in the LHC
• Identify the hidden charm pentaquark signal from non-resonant background in electron-proton scattering
• ${\Xi }_{bb}$ and ${\Omega }_{bbb}$ molecular states
• Exploring the spectrum of the hidden charm strange pentaquark in an SU(4) flavor-spin model
• $J/\psi$ decay into $\varphi (\omega )$ and vector-vector molecular states
• Evidence supporting the existence of $P_c(4380{)}^{\pm }$ from the recent measurements of $B_s\to J/\psi p\bar{p}$
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• 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
• Molecular $P_{\psi }$ pentaquarks from light-meson exchange saturation
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Insights into the nature of the $P_{cs}(4459)$
• Hidden bottom pentaquark in the SU(5) version of the flavor-spin model
• Hadronic molecules and multiquark states
• Exotic hadrons associated with $b$-quark