Lattice QCD Study for Confinement and Hadrons

dc.creatorSuganuma, Hideo
dc.creatorIchie, Hiroko
dc.creatorOkiharu, Fumiko
dc.creatorTakahashi, Toru T.
dc.date2005-08-01
dc.date.accessioned2026-07-07T11:26:37Z
dc.date.available2026-07-07T11:26:37Z
dc.descriptionUsing SU(3) lattice QCD, we perform the detailed studies of the three-quark and the multi-quark potentials. From the accurate calculation for more than 300 different patterns of 3Q systems, the static ground-state 3Q potential $V_{\rm 3Q}^{\rm g.s.}$ is found to be well described by the Coulomb plus Y-type linear potential (Y-Ansatz) within 1%-level deviation. As a clear evidence for Y-Ansatz, Y-type flux-tube formation is actually observed on the lattice in maximally-Abelian projected QCD. For about 100 patterns of 3Q systems, we perform the accurate calculation for the 1st excited-state 3Q potential $V_{\rm 3Q}^{\rm e.s.}$ by diagonalizing the QCD Hamiltonian in the presence of three quarks, and find a large gluonic-excitation energy $ΔE_{\rm 3Q} \equiv V_{\rm 3Q}^{\rm e.s.}-V_{\rm 3Q}^{\rm g.s.}$ of about 1 GeV, which gives a physical reason of the success of the quark model. $ΔE_{\rm 3Q}$ is found to be reproduced by the ``inverse Mercedes Ansatz'', which indicates a complicated bulk excitation for the gluonic-excitation mode. We study also the tetra-quark and the penta-quark potentials in lattice QCD, and find that they are well described by the OGE Coulomb plus multi-Y type linear potential, which supports the flux-tube picture even for the multi-quarks.
dc.descriptionInvited talk at Int. Conf. on "High Energy and Mathematical Physics" Cadi Ayyad Univ. Marrakech, Morocco, April 4-7, 2005 (Moroccan Publisher) 13 pages
dc.identifierhttps://arxiv.org/abs/hep-lat/0508001
dc.identifierhttp://arxiv.org/abs/hep-lat/0508001
dc.identifierAfr.J.Math.Phys.3:11-20,2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195884
dc.subjectHigh Energy Physics - Lattice
dc.titleLattice QCD Study for Confinement and Hadrons
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