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Three-Quark Potential in SU(3) Lattice QCD.

Takahashi¹, Matsufuru, Nemoto

¹RCNP, Osaka University, Mihogaoka 10-1, Osaka 567-0047, Japan.

Physical Review Letters

|January 3, 2001

Summary

This study investigates the static three-quark potential in lattice quantum chromodynamics (QCD). Results show the potential is described by Coulomb and linear confinement terms, with universal string tension.

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Area of Science:

* Quantum Chromodynamics (QCD)
* Lattice Gauge Theory
* Hadron Physics

Background:

* Understanding the static three-quark (3Q) potential is crucial for describing the behavior of baryons.
* Previous studies have explored two-body potentials (quark-antiquark), but the 3Q system presents unique challenges.

Purpose of the Study:

* To calculate and analyze the static 3Q potential in SU(3) lattice QCD.
* To compare the 3Q potential with the two-body quark-antiquark potential.

Main Methods:

* Utilized SU(3) lattice QCD simulations with a 12^3x24 lattice and beta = 5.7 at the quenched level.
* Extracted the 3Q ground-state potential V(3Q) from the 3Q Wilson loop using a smearing technique for ground-state enhancement.

Main Results:

* The 3Q potential V(3Q) is accurately described by a constant, a two-body Coulomb term, and a three-body linear confinement term sigma(3Q)L(min).
* Observed a universal string tension: sigma(3Q) approximately sigma(Q&Qmacr;).
* Found Coulomb coefficients consistent with OGE results: A(3Q) approximately 1/2A(Q&Qmacr;).

Conclusions:

* The study provides a precise determination of the static 3Q potential in lattice QCD.
* The findings suggest universal properties in the confinement and Coulomb interactions for both 3Q and quark-antiquark systems.

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