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Static three-quark SU(3) and four-quark SU(4) potentials
Author(s) -
Constantia Alexandrou,
Ph. de Forcrand,
A. Tsapalis
Publication year - 2002
Publication title -
physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields
Language(s) - English
Resource type - Journals
eISSN - 1089-4918
pISSN - 0556-2821
DOI - 10.1103/physrevd.65.054503
Subject(s) - physics , ansatz , baryon , quark , particle physics , lattice qcd , quantum chromodynamics , quark model , lattice (music) , mathematical physics , quarkonium , acoustics
We present results on the static three- and four-quark potentials in SU(3)and SU(4) respectively within quenched lattice QCD. We use an analyticmulti-hit procedure for the time links and a variational approach to determinethe ground state. The three- and four-quark potentials extracted are consistentwith a sum of two-body potentials, possibly with a weak many-body component.The results give support to the $\Delta$ ansatz for the baryonic area law.Comment: improved formatting of figures, typo correcte

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