Detailed Analysis of the Tetraquark Potential and Flip-Flop in SU(3) Lattice QCD

dc.creatorOkiharu, Fumiko
dc.creatorSuganuma, Hideo
dc.creatorTakahashi, Toru T.
dc.date2004-12-07
dc.date2005-08-01
dc.date.accessioned2026-07-07T11:58:23Z
dc.date.available2026-07-07T11:58:23Z
dc.descriptionWe perform the detailed study of the tetraquark (4Q) potential $V_{\rm 4Q}$ for various QQ-$\rm \bar{Q}\bar{Q}$ systems in SU(3) lattice QCD with $β=6.0$ and $16^3 \times 32$ at the quenched level. For about 200 different patterns of 4Q systems, $V_{\rm 4Q}$ is extracted from the 4Q Wilson loop in 300 gauge configurations, with the smearing method to enhance the ground-state component. We calculate $V_{\rm 4Q}$ for planar, twisted, asymmetric, and large-size 4Q configurations, respectively. Here, the calculation for large-size 4Q configurations is done by identifying $16^2 \times 32$ as the spatial size and 16 as the temporal one, and the long-distance confinement force is particularly analyzed in terms of the flux-tube picture. When QQ and $\rm \bar{Q}\bar{Q}$ are well separated, $V_{\rm 4Q}$ is found to be expressed as the sum of the one-gluon-exchange Coulomb term and multi-Y type linear term based on the flux-tube picture. When the nearest quark and antiquark pair is spatially close, the system is described as a "two-meson" state. We observe a flux-tube recombination called as "flip-flop" between the connected 4Q state and the "two-meson" state around the level-crossing point. This leads to infrared screening of the long-range color forces between (anti)quarks belonging to different mesons, and results in the absence of the color van der Waals force between two mesons.
dc.description17 pages, 23 figures
dc.identifierhttps://arxiv.org/abs/hep-lat/0412012
dc.identifierhttp://arxiv.org/abs/hep-lat/0412012
dc.identifierPhys.Rev.D72:014505,2005
dc.identifierdoi:10.1103/PhysRevD.72.014505
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206207
dc.subjectHigh Energy Physics - Lattice
dc.titleDetailed Analysis of the Tetraquark Potential and Flip-Flop in SU(3) Lattice QCD
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