Narrow Nucleon-$\psi (2S)$ Bound State and LHCb Pentaquarks

Abstract

We interpret the newly discovered pentaquark $P_c(4450)$ as a bound state of charmonium $\psi (2S)$ and the nucleon. The binding potential is due to charmonium-nucleon interaction that in the heavy quark approximation is proportional to the product of the charmonium chromoelectric polarizability and the nucleon energy-momentum distribution. We use the large $N_c$ expansion to estimate the quarkonium polarizability and calculate the nucleon properties in the framework of the mean-field picture of light baryons. Two almost degenerate states $J^P=(1/2{)}^{-}$ and $J^P=(3/2{)}^{-}$ are predicted at the position of the $P_c(4450)$ pentaquark. We find that the nucleon-$\psi (2S)$ bound state has a naturally narrow width in the range of tens of MeV. The unitary multiplet partners of the $P_c(4450)$ pentaquark and the generalization to $b\bar{b}$-nucleon pentaquark bound states are discussed.

14 pages

References in corpus (3)

• Charmonium
• Hadro-Charmonium
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model

Cited by in corpus (64)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Pentaquark and Tetraquark states
• Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• 50 Years of Quantum Chromodynamics
• Exploring the molecular scenario of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Molecular Interpretation of the $P_c(4440)$ and $P_c(4457)$ States
• On LHCb pentaquarks as a baryon-psi(2S) bound state -- prediction of isospin 3/2 pentaquarks with hidden charm
• Revisiting the nature of the $P_c$ pentaquarks
• Studying the P_c(4450) resonance in J/psi photoproduction off protons
• Hidden-charm and bottom tetra- and pentaquarks with strangeness in the hadro-quarkonium and compact tetraquark models
• New LHCb pentaquarks as hadrocharmonium states
• The ${\Lambda }_b\to J/\psi K^0\Lambda$ reaction and a hidden-charm pentaquark state with strangeness
• Strong decay mode $J/\psi p$ of hidden charm pentaquark states $P_c^{+}(4380)$ and $P_c^{+}(4450)$ in ${\Sigma }_c{\bar{D}}^{\ast }$ molecular scenario
• Hidden-charm pentaquarks and their hidden-bottom and $B_c$-like partner states
• The baryo-quarkonium picture for hidden-charm and bottom pentaquarks and LHCb $P_{\mathrm{c}}(4380)$ and $P_{\mathrm{c}}(4450)$ states
• Structure and decays of hidden heavy pentaquarks
• Is the existence of a $J/\psi J/\psi$ bound state plausible?
• Production of $P_c$ states from ${\Lambda }_b$ decay
• 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
• D-term and structure of point-like and composed spin-0 particles
• Pentaquarks with hidden charm as hadroquarkonia
• Chiral theory of nucleons and pions in the presence of an external gravitational field
• ${\rm Y}$ photo-production on the proton at the Electron-Ion Collider
• LHCb pentaquarks in constituent quark models
• Hidden charm pentaquark states in a diquark model
• Heavy Baryons and their Exotics from Instantons in Holographic QCD
• Mass behavior of hidden-charm pentaquarks with open-strange inspired by these established $P_c$ molecular states
• The dynamic origins of fermionic D-terms
• Interpretations of the new LHCb $P_c(4337{)}^{+}$ pentaquark state
• Heavy pentaquark states and a novel color structure
• Heavy and Strange Holographic Baryons
• On the hidden charm pentaquark-s in ${\Lambda }_b\to J/\psi K^{-}p$ decay
• Heavy Holographic Exotics: Tetraquarks as Efimov States
• Monopole and quadrupole contributions to the angular momentum density
• ${\eta }_{\mathrm{c}}$- and $J/\psi$-isoscalar meson bound states in the hadro-charmonium picture
• Narrow pentaquarks as diquark-diquark-antiquark systems
• The role of hidden-charm pentaquark resonance $P_c^{+}(4450)$ in $J/\psi$ photoproduction on nuclei near threshold
• $P_c$ states and their open-charm decays with the complex scaling method
• Prompt production of the hidden charm pentaquarks in the LHC
• Dispersive Determination of Nucleon Gravitational Form Factors
• Exotic pentaquark states with the $qqQQ\bar{Q}$ configuration
• Determination of $J/\psi$ chromoelectric polarizability from lattice data
• Hidden charm pentaquark and $\Lambda (1405)$ in the ${\Lambda }_b^0\to {\eta }_c{K}^{-}p(\pi \Sigma )$ reaction
• Hidden-flavor pentaquarks
• On tetraquarks with hidden charm and strangeness as phi-psi(2S) hadrocharmonium
• Chromopolarizabilities of bottomonia from the ${\rm Y}(2S,3S,4S)\to {\rm Y}(1S,2S)\pi \pi$ transitions
• Decays of Pentaquarks in Hadrocharmonium and Molecular Pictures
• Unravelling Pentaquarks with Born--Oppenheimer effective theory
• Production of pentaquarks in $pA$-collisions
• New narrow LHCb pentaquarks as lowest antiquark-diquark-diquark systems
• Studying the Pc(4450) resonance in J/psi photoproduction off protons
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
• Deciphering the mechanism of $J/\psi$-nucleon scattering
• Measurement of the near-threshold J$/\psi$ photoproduction cross section with the CLAS12 experiment
• Exotic Heavy Hadrons
• Lattice QCD Study of the Nucleon-Charmonium Interaction
• Pentaquark states with hidden charm
• Hadronic molecules and multiquark states
• The study of doubly charmed pentaquark $cc\bar{q}qq$ with the SU(3) symmetry
• Reconstruction of Gravitational Form Factors using Generative Machine Learning
• Electromagnetic couplings of pentaquarks
• Chromopolarizability of charm-beauty quarkonium from $B_c(2S)\to B_c\pi \pi$ transition
• Low-energy scattering of the $J/\psi \pi$ and $J/\psi K$ system