Three-body relativistic flux tube model from QCD Wilson-loop approach

Abstract

First we review the derivation of the relativistic flux tube model for a quark-antiquark system from Wilson area law as we have given in a preceding paper. Then we extend the method to the three-quark case and obtain a Lagrangian corresponding to a star flux tube configuration. A Hamiltonian can be explicitly constructed as an expansion in $1/m^2$ or in the string tension $\sigma$. In the first case it reproduces the Wilson loop three-quark semirelativistic potential; in the second one, very complicated in general, but it reproduces known string models for slowly rotating quarks.

14 pages, latex, uses elsart.sty, 2 figures available upon request

References in corpus (3)

• A consistent derivation of the quark--antiquark and three quark potentials in a Wilson loop context
• Bethe--Salpeter equation in QCD
• Confining Bethe--Salpeter equation from scalar QCD

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• Heavy Quarkonia: Wilson Area Law, Stochastic Vacuum Model and Dual QCD
• The three-quark static potential in perturbation theory
• Detailed analysis of the gluonic excitation in the three-quark system in lattice QCD
• Bottomonium spectrum in the relativistic flux tube model
• The gluonic excitation of the three-quark system in SU(3) lattice QCD
• Identification of newly observed singly charmed baryons using relativistic flux tube model
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• The Y-stringlike behavior of a static hadron at finite T
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• Quark motional effects on the interquark potential in baryons
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• Gluodynamics in external field in dual superconductor approach
• Confining potential of Y-string on the lattice at finite T
• Strings of diquark-quark (QQ)Q baryon before phase transition