Three-quark ground-state potential in the SU(3) lattice QCD

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dc.creatorSuganuma, H.
dc.creatorMatsufuru, H.
dc.creatorNemoto, Y.
dc.creatorTakahashi, T. T.
dc.date2002-05-31
dc.date.accessioned2026-07-07T03:38:50Z
dc.date.available2026-07-07T03:38:50Z
dc.descriptionWith the smearing technique, the three-quark (3Q) ground-state potential $V_{\rm 3Q}$ is numerically extracted in the SU(3)$_c$ lattice QCD Monte Carlo simulation with $12^3 \times 24$ and $β=5.7$ at the quenched level. With accuracy better than a few %, $V_{\rm 3Q}$ is well described by a sum of a constant $C_{\rm 3Q}$, the two-body Coulomb part $-A_{\rm 3Q}\sum_{i<j} \frac1{|{\bf r}_i-{\bf r}_j|}$ and the three-body linear confinement part $σ_{\rm 3Q} L_{\rm min}$, where $L_{\rm min}$ denotes the minimal length of the color flux tube linking the three quarks. By comparing with the Q-$\bar {\rm Q}$ potential, we find a universal feature of the string tension as $σ_{\rm 3Q} \simeq σ_{\rm Q \bar Q}$ and the one-gluon-exchange result for the Coulomb coefficient as $A_{\rm 3Q} \simeq \frac12 A_{\rm Q \bar Q}$. All our results including the constant term are consistent with the requirement on the diquark limit in the lattice regularization.
dc.description5 pages, 2 figures, 2 tables
dc.identifierhttps://arxiv.org/abs/hep-lat/0205029
dc.identifierhttp://arxiv.org/abs/hep-lat/0205029
dc.identifierNucl.Phys. A680 (2000) 159-162
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/38692
dc.subjectHigh Energy Physics - Lattice
dc.titleThree-quark ground-state potential in the SU(3) lattice QCD
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