$J/\psi$ -nucleon scattering in $P_c^{+}$ pentaquarks channel

Abstract

Two pentaquarks $P_c^{+}$ were discovered by LHCb collaboration as peaks in the proton-$J/\psi$ invariant mass. We perform the lattice QCD study of the scattering between $J/\psi$ meson and nucleon in the channels with $J^P={\frac{3}{2}}^{+},{\frac{3}{2}}^{-},{\frac{5}{2}}^{+},{\frac{5}{2}}^{-}$, where $P_c^{+}$ was discovered. This is the first lattice simulation that reaches the energies $4.3-4.5$GeV where pentaquarks reside. The higher partial waves $L>0$ are also explored for the first time. In this study we consider the single-channel approximation for scattering of $NJ/\psi$. Energies and eigenstates are extracted for the $NJ/\psi$ system at the zero total momentum for all six irreducible representations of the lattice irreducible representation. No significant energy shifts are observed. The number of eigenstates agrees with the number expected from non-interacting limit for scattering. This could possibly indicate that the $P_c$ resonances seen in experiment are a consequence of a coupling of the $NJ/\psi$ channel with other two-hadron channels.

arXiv comment7 pages, 4 figures, PoS style, to appear in the proceedings of the Lattice 2018 conference (22-28 July 2018, Michigan State University, East Lansing, Michigan, USA)

References in corpus (8)

• Excited state baryon spectroscopy from lattice QCD
• Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD
• Reweighting towards the chiral limit
• Hadro-quarkonium from Lattice QCD
• Charmonium-nucleon potential from lattice QCD
• Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions
• Nucleon-$J/\psi$ and nucleon-${\eta }_c$ scattering in $P_c$ pentaquark channels from LQCD
• Lattice operators for scattering of particles with spin