Nucleon-$J/\psi$ and nucleon-${\eta }_c$ scattering in $P_c$ pentaquark channels from LQCD

Abstract

The lattice QCD simulation of $NJ/\psi$ and $N{\eta }_c$ scattering is performed at $m_{\pi }\simeq 266$MeV in channels with all possible $J^P$. This includes $J^P=3/2^{\pm }$ and $5/2^{\pm }$ where LHCb discovered $P_c(4380)$ and $P_c(4450)$ pentaquark states in proton$-J/\psi$ decay. This is the first lattice simulation that reaches the energies 4.3-4.5 GeV where pentaquarks reside. Several decay channels are open in this energy region and we explore the fate of $P_c$ in the one-channel approximation in this work. Energies of eigenstates are extracted for the nucleon-charmonium system at zero total momentum for all quantum numbers, i.e. six lattice irreducible representations. No significant energy shifts are observed. The number of the observed lattice eigenstates agrees with the number expected for non-interacting charmonium and nucleon. Thus, we do not find any strong indication for a resonance or a bound state in these exotic channels within one-channel approximation. This possibly indicates that the coupling of $NJ/\psi$ channel with other two-hadron channels might be responsible for $P_c$ resonances in experiment. One of the challenges of this study is that up to six degenerate $J/\psi (p)N(-p)$ eigenstates are expected in the non-interacting limit due non-zero spins of $J/\psi$ and N, and we establish all of them in the spectra.

arXiv comment13 pages, 7 figures, v2: additional references added, v3: matches version in Phys. Rev. D

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Cited by in corpus (32)

• Pentaquark and Tetraquark states
• 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 $P_c(4380)$
• Towards a theory of hadron resonances
• Revisiting the nature of the $P_c$ pentaquarks
• Deciphering the mechanism of near-threshold $J/\psi$ photoproduction
• Hadrons and Nuclei
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• $P_c(4312{)}^{+}$, $P_c(4380{)}^{+}$, and $P_c(4457{)}^{+}$ as double triangle cusps
• How to reveal the nature of three or more pentaquark states?
• Pole analysis on the hadron spectroscopy of ${\Lambda }_b\to J/\Psi p{K}^{-}$
• Model independent determination of the spins of the $P_c$(4440) and $P_c$(4457) from the spectroscopy of the triply charmed dibaryons
• Spectrum of the molecular pentaquarks
• $J/\psi$-$p$ Scattering Length from the Total and Differential Photoproduction Cross Sections
• Nucleon-charmonium interactions from lattice QCD
• Femtoscopy of the Origin of the Nucleon Mass
• Triply charmed dibaryons in the one boson exchange model
• ${\eta }_c$-nucleus bound states
• $P_c$ states and their open-charm decays with the complex scaling method
• \boldmath{${\rm Y}$} and \boldmath{${\eta }_b$} mass shifts in nuclear matter
• Recoupling Mechanism for exotic mesons and baryons
• Search for hidden-charm pentaquark states in three-body final states
• Models and Potentials in Hadron Spectroscopy
• The $\varphi NN,J/\psi NN,{\eta }_{c}NN$ systems based on HAL QCD interactions
• Deciphering the mechanism of $J/\psi$-nucleon scattering
• Heavy-heavy and heavy-light mesons in cold nuclear matter
• $B_c^{\pm }$-${}^{12}$C states and detailed study of momentum space method for ${\rm Y}$- and ${\eta }_b$-nucleus bound states
• Molecular interpretation of the LHCb pentaquarks from an analysis of $J/\psi p$ spectrum
• Lattice spectroscopy with focus on exotics
• $J/\psi$ -nucleon scattering in $P_c^{+}$ pentaquarks channel
• Exotic hadrons associated with $b$-quark
• Charmonium-nucleon interactions from 2+1 flavor lattice QCD