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Tetraquark and Pentaquark Systems in Lattice QCD

Journal of Modern Physics 2016年第8期7卷 774-789页

作者： Fumiko Okiharu Takumi Doi hiroko ichie Hideaki Iida Noriyoshi Ishii Makoto Oka Hideo Suganuma Toru T. Takahashi Faculty of Education Niigata University Niigata Japan Theoretical Research Division Nishina Center RIKEN Wako Japan Department of Physics Tokyo Institute of Technology Tokyo Japan Research and Education Center for Natural Sciences Keio University Kanagawa Japan Research Center for Nuclear Physics (RCNP) Osaka University Ibaraki Japan Department of Physics Graduate School of Science Kyoto University Kyoto Japan Gunma National College of Technology Maebashi Japan

We study multi-quark systems in lattice QCD. First, we revisit and summarize our accurate mass measurements of low-lying 5Q states with J = 1/2 and I = 0 in both positive- and negative-parity channels in anisotropic lattice QCD. The lowest positive-parity 5Q state is found to have a large mass of about 2.24 GeV after the chiral extrapolation. To single out the compact 5Q state from NK scattering states, we use the hybrid boundary condition (HBC), and find no evidence of the compact 5Q state below 1.75 GeV in the negative-parity channel. Second, we study the multi-quark potential in lattice QCD to clarify the inter-quark interaction in multi-quark systems. The 5Q potential V5Q for the QQ--QQ system is found to be well described by the “OGE Coulomb plus multi-Y Ansatz”: The sum of the one-gluon-exchange (OGE) Coulomb term and the multi-Y-type linear term based on the flux-tube picture. The 4Q potential V4Q for the QQ- system is also described by the OGE Coulomb plus multi-Y Ansatz, when QQ and are well separated. The 4Q system is described as a “two-meson” state with disconnected flux tubes, when the nearest quark and antiquark pair are spatially close. We observe a lattice-QCD evidence for the “flip-flop”, i.e., the fluxtube recombination between the connected 4Q state and the “two-meson” state. On the confinement mechanism, the lattice QCD results indicate the flux-tube-type linear confinement in multi-quark hadrons. Finally, we propose a proper quark-model Hamiltonian based on the lattice QCD results.

关键词： Lattice QCD Multi-Quarks Quark Confinement Exotic Hadrons

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