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SU(3) Lattice QCD Study for Static Three-Quark Potential
High Energy Physics - Lattice · Submitted 6 Jul 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The lattice QCD data of $V_{3Q}$ are well reproduced within a few % deviation by a sum of a constant, the two-body Coulomb term and the three-body linear confinement term $\sigma_{3Q} L_{min}$, with $L_{min}$ the minimal value of total length of color flux tubes linking the three quarks.
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The abstract, sentence by sentence
We study the static three-quark (3Q) potential in detail using SU(3) lattice QCD with $12^3 \times 24$ at $\beta=5.7$ and $16^3 \times 32$ at $\beta=5.8, 6.0$ at the quenched level. For more than 200 patterns of the 3Q systems, we numerically derive 3Q ground-state potential $V_{3Q}$ from the 3Q Wilson loop with the smearing technique, which reduces excited-state contaminations. The lattice QCD data of $V_{3Q}$ are well reproduced within a few % deviation by a sum of a constant, the two-body Coulomb term and the three-body linear confinement term $\sigma_{3Q} L_{min}$, with $L_{min}$ the minimal value of total length of color flux tubes linking the three quarks. From the comparison with the Q-$\bar {Q}$ potential, we find a universality of the string tension as $\sigma_{3Q} \simeq \sigma_{\rm Q \bar Q}$ and the one-gluon-exchange result for Coulomb coefficients, $A_{3Q} \simeq \frac12 A_{\rm Q \bar Q}$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the static three-quark (3Q) potential in detail using SU(3) lattice QCD with $12^3 \times 24$ at $\beta=5.7$ and $16^3 \times 32$ at $\beta=5.8, 6.0$ at the quenched level. | method 0.59 | 0.96 | 0.03 | asserted 0.96 |
| s1 | For more than 200 patterns of the 3Q systems, we numerically derive 3Q ground-state potential $V_{3Q}$ from the 3Q Wilson loop with the smearing technique, which reduces excited-state contaminations. | method 0.96 | 0.97 | 0.05 | asserted 1.00 |
| s2 | The lattice QCD data of $V_{3Q}$ are well reproduced within a few % deviation by a sum of a constant, the two-body Coulomb term and the three-body linear confinement term $\sigma_{3Q} L_{min}$, with $L_{min}$ the minimal value of total length of color flux tubes linking the three quarks. | result 0.99 | 0.94 | 0.68 | asserted 1.00 |
| s3 | From the comparison with the Q-$\bar {Q}$ potential, we find a universality of the string tension as $\sigma_{3Q} \simeq \sigma_{\rm Q \bar Q}$ and the one-gluon-exchange result for Coulomb coefficients, $A_{3Q} \simeq \frac12 A_{\rm Q \bar Q}$. | result 0.91 | 0.94 | 0.53 | asserted 1.00 |
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The paper
Original abstract
We study the static three-quark (3Q) potential in detail using SU(3) lattice QCD with $12^3 \times 24$ at $\beta=5.7$ and $16^3 \times 32$ at $\beta=5.8, 6.0$ at the quenched level. For more than 200 patterns of the 3Q systems, we numerically derive 3Q ground-state potential $V_{3Q}$ from the 3Q Wilson loop with the smearing technique, which reduces excited-state contaminations. The lattice QCD data of $V_{3Q}$ are well reproduced within a few % deviation by a sum of a constant, the two-body Coulomb term and the three-body linear confinement term $\sigma_{3Q} L_{min}$, with $L_{min}$ the minimal value of total length of color flux tubes linking the three quarks. From the comparison with the Q-$\bar {Q}$ potential, we find a universality of the string tension as $\sigma_{3Q} \simeq \sigma_{\rm Q \bar Q}$ and the one-gluon-exchange result for Coulomb coefficients, $A_{3Q} \simeq \frac12 A_{\rm Q \bar Q}$.
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Papers whose main result relates to this one's
States the same result 3 papers
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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 $\sigma_{\rm 3Q} L_{\rm min}$, where $L_{\rm min}$ denotes the minimal length of the color flux tube linking the three quarks.
Three-quark ground-state potential in the SU(3) lattice QCD · 0.97
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Our results seem to support the Y-type flux picture rather than $\Delta$-type one.
Static Three-Quark Potential in SU(3) Lattice QCD Monte-Carlo Simulation · 0.93
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By comparing with the Q-$\bar {\rm Q}$ potential, we find a universal feature of the string tension, $\sigma_{\rm 3Q} \simeq \sigma_{\rm Q \bar Q}$, as well as the one-gluon-exchange result for the Coulomb coefficient, $A_{\rm 3Q} \simeq \frac12 A_{\rm Q \bar Q}$.
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