The three-quark static potential in perturbation theory

Details The three-quark static potential in perturbation theory The three-quark static potential in perturbation theory

2009-11-18

arxiv.org/abs/0911.3541v2

Phys.Rev.D81:054031,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

36 pages, 11 figures, version published in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.81.054031

We study the three-quark static potential in perturbation theory in QCD. A complete next-to-leading order calculation is performed in the singlet, octets and decuplet channels and the potential exponentiation is demonstrated. The mixing of the octet representations is calculated. At next-to-next-to-leading order, the subset of diagrams producing three-body forces is identified in Coulomb gauge and its contribution to the potential calculated. Combining it with the contribution of the two-body forces, which may be extracted from the quark-antiquark static potential, we obtain the complete next-to-next-to-leading order three-quark static potential in the colour-singlet channel.

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