Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-06-02
Phys.Rev.Lett.86:18-21,2001
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 3 figure
Scientific paper
10.1103/PhysRevLett.86.18
The static three-quark (3Q) potential is measured in the SU(3) lattice QCD with $12^3 \times 24$ and $\beta=5.7$ at the quenched level. From the 3Q Wilson loop, the 3Q ground-state potential $V_{\rm 3Q}$ is extracted using the smearing technique for the ground-state enhancement. With accuracy better than a few %, $V_{\rm 3Q}$ is well described by a sum of a constant, the two-body Coulomb term and the three-body linear confinement term $\sigma_{\rm 3Q} L_{\rm min}$, 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, $\sigma_{\rm 3Q} \simeq \sigma_{\rm Q \bar Q}$, as well as the one-gluon-exchange result for the Coulomb coefficient, $A_{\rm 3Q} \simeq \frac12 A_{\rm Q \bar Q}$.
Matsufuru Hideo
Nemoto Yukio
Suganuma Hideo
Takahashi Tadayuki
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