Detailed analysis of the three quark potential in SU(3) lattice QCD
Apr, 2002
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Abstract:
The static three-quark (3Q) potential is studied in detail using SU(3) lattice QCD with at and at , 6.0 at the quenched level. For more than 300 different patterns of the 3Q systems, we perform the accurate measurement of the 3Q Wilson loop with the smearing method, which reduces excited-state contaminations, and present the lattice QCD data of the 3Q ground-state potential . We perform the detailed fit analysis on in terms of the Y-ansatz both with the continuum Coulomb potential and with the lattice Coulomb potential, and find that the lattice QCD data of the 3Q potential are well reproduced within a few % deviation by the sum of a constant, the two-body Coulomb term and the three-body linear confinement term , with the minimal value of the total length of color flux tubes linking the three quarks. From the comparison with the Q- potential, we find a universality of the string tension as and the one-gluon-exchange result for the Coulomb coefficients as . We investigate also the several fit analyses with the various ans\atze: the Y-ansatz with the Yukawa potential, the -ansatz and a more general ansatz including the Y and the ans\atze in some limits. All these fit analyses support the Y-ansatz on the confinement part in the 3Q potential , although seems to be approximated by the -ansatz with .- 12.38.Gc
- gauge field theory: SU(3)
- lattice field theory
- potential: (3quark)
- potential: static
- approximation: quenching
- Wilson loop
- string tension: universality
- numerical calculations: Monte Carlo
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