SU(3) Lattice QCD Study for Static Three-Quark Potential

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 ${\sigma }_{3Q}\simeq {\sigma }_{\mathrm{Q}\bar{\mathrm{Q}}}$ and the one-gluon-exchange result for Coulomb coefficients, $A_{3Q}\simeq \frac{1}{2}{A}_{\mathrm{Q}\bar{\mathrm{Q}}}$.

arXiv comment8 pages, 9 figures, proceeding of "International Symposium on Hadron and Nuclei" at Yonsei Univ., Seoul, Korea 20-22 Feb. 2001

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