Hidden-charm pentaquarks as a meson-baryon molecule with coupled channels for ${\bar{D}}^{(\ast )}{\Lambda }_{\mathrm{c}}$ and ${\bar{D}}^{(\ast )}{\Sigma }_{\mathrm{c}}^{(\ast )}$

Abstract

The recent observation of two hidden-charm pentaquark states by LHCb collaborations prompted us to investigate the exotic states close to the $\bar{D}{\Lambda }_{\mathrm{c}}$, ${\bar{D}}^{\ast }{\Lambda }_{\mathrm{c}}$, $\bar{D}{\Sigma }_{\mathrm{c}}$, $\bar{D}{\Sigma }_{\mathrm{c}}^{\ast }$, ${\bar{D}}^{\ast }{\Sigma }_{\mathrm{c}}$ and ${\bar{D}}^{\ast }{\Sigma }_{\mathrm{c}}^{\ast }$ thresholds. We therefore studied the hadronic molecules that form the coupled-channel system of ${\bar{D}}^{(\ast )}{\Lambda }_{\mathrm{c}}$ and ${\bar{D}}^{(\ast )}{\Sigma }_{\mathrm{c}}^{(\ast )}$. As the heavy quark spin symmetry manifests the mass degenerations of $\bar{D}$ and ${\bar{D}}^{\ast }$ mesons, and of ${\Sigma }_{\mathrm{c}}$ and ${\Sigma }_{\mathrm{c}}^{\ast }$ baryons, the coupled channels of ${\bar{D}}^{(\ast )}{\Sigma }_{\mathrm{c}}^{(\ast )}$ are important in these molecules. In addition, we consider the coupling to the ${\bar{D}}^{(\ast )}{\Lambda }_{\mathrm{c}}$ channel whose thresholds are near the ${\bar{D}}^{(\ast )}{\Sigma }_{\mathrm{c}}^{(\ast )}$ thresholds, and the coupling to the state with nonzero orbital angular momentum mixed by the tensor force. This full coupled channel analysis of ${\bar{D}}^{(\ast )}{\Lambda }_{\mathrm{c}}-{\bar{D}}^{(\ast )}{\Sigma }_{\mathrm{c}}^{(\ast )}$ with larger orbital angular momentum has never been performed before. By solving the coupled-channel Schrödinger equations with the one meson exchange potentials that respected to the heavy quark spin and chiral symmetries, we studied the hidden-charm hadronic molecules with $I(J^P)=1/2(3/2^{\pm })$ and $1/2(5/2^{\pm })$. We conclude that the $J^P$ assignment of the observed pentaquarks is $3/2^{+}$ for $P_{\mathrm{c}}^{+}(4380)$ and $5/2^{-}$ for $P_{\mathrm{c}}^{+}(4450)$, which is agreement with the results of the LHCb analysis. In addition, we give predictions for other $J^P=3/2^{\pm }$ states at 4136.0, 4307.9 and 4348.7 MeV in $J^P=3/2^{-}$, and 4206.7 MeV in $J^P=3/2^{+}$, which can be further investigated by means of experiment.

8 pages, 1 figure and 5 tables

References in corpus (16)

• Heavy quarkonium: progress, puzzles, and opportunities
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Exotic Hadrons with Heavy Flavors -X, Y, Z and Related States-
• Axial Resonances in the Open and Hidden Charm Sectors
• Model-independent evidence for $J/\psi p$ contributions to ${\Lambda }_b^0\to J/\psi p{K}^{-}$ decays
• Evidence for exotic hadron contributions to ${\Lambda }_b^0\to J/\psi p{\pi }^{-}$ decays
• Heavy Hadrons in Nuclear Matter
• Compact pentaquark structures
• Hidden charm N and Delta resonances with heavy-quark symmetry
• Exotic baryons from a heavy meson and a nucleon -- Negative parity states --
• Exotic nuclei with open heavy flavor mesons
• Remarks on the $P_c$ structures and triangle singularities
• Exotic dynamically generated baryons with negative charm quantum number
• Heavy quark symmetry and weak decays of the $b$-baryons in pentaquarks with a $c\bar{c}$ component
• Photoproduction of hidden-charm states in the $\gamma p\to {\bar{D}}^{\ast 0}{\Lambda }_c^{+}$ reaction near threshold
• Heavy pentaquark states $P_c(4380)$ and $P_c(4450)$ in the $J/\psi$ production induced by pion beams off the nucleon

Cited by in corpus (49)

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• 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
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• Hidden-Bottom Pentaquarks
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• Decay behaviors of possible ${\Lambda }_{c\bar{c}}$ states in hadronic molecule pictures
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• Experimental constraints on the properties of $P_c$ states
• Production of $P_c$ states in ${\Lambda }_b$ decays
• Possible Molecular Pentaquark States with Different Spin and Quark Configurations
• Heavy Holographic Exotics: Tetraquarks as Efimov States
• Resonances in heavy meson - heavy baryon coupled-channel interactions
• Production of hidden-charm strange pentaquarks $P_{cs}$ from the $K^{-}p\to J/\psi \Lambda$ reaction
• Heavy quark spin multiplet structure of $P_c$-like pentaquark as P-wave hadronic molecular state
• Possible Molecular States Composed of Doubly Charmed Baryons with Couple-channel Effect
• Exotic pentaquark states with the $qqQQ\bar{Q}$ configuration
• Heavy quark spin multiplet structure of ${\bar{P}}^{(\ast )}{\Sigma }_Q^{(\ast )}$ molecular states
• Hadronic Molecular States Composed of Spin-$\frac{3}{2}$ Singly Charmed Baryons
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• P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED
• Exotic Heavy Hadrons
• Pentaquark states with hidden charm
• Exotic hadrons associated with $b$-quark
• $D{\bar{D}}^{\ast }$-$\pi J/\psi$ scatterings of coupled channels for $Z_c(3900)$ channel
• Electromagnetic couplings of pentaquarks