TY - JOUR
T1 - Three-quark static potential in perturbation theory
AU - Brambilla, Nora
AU - Ghiglieri, Jacopo
AU - Vairo, Antonio
PY - 2010/3/30
Y1 - 2010/3/30
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=77950562858&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.81.054031
DO - 10.1103/PhysRevD.81.054031
M3 - Article
AN - SCOPUS:77950562858
SN - 1550-7998
VL - 81
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 5
M1 - 054031
ER -