Three-quark static potential in perturbation theory
Abstract
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 color-singlet channel.
- Publication:
-
Physical Review D
- Pub Date:
- March 2010
- DOI:
- 10.1103/PhysRevD.81.054031
- arXiv:
- arXiv:0911.3541
- Bibcode:
- 2010PhRvD..81e4031B
- Keywords:
-
- 12.38.-t;
- 12.38.Bx;
- 14.20.-c;
- 14.40.Pq;
- Quantum chromodynamics;
- Perturbative calculations;
- Baryons;
- High Energy Physics - Phenomenology;
- High Energy Physics - Lattice;
- Nuclear Theory
- E-Print:
- 36 pages, 11 figures. v2: version published in Phys.Rev.D. v3: fixed numerical factor in Eq. (56) and following equations