Covariant solution of the three-quark problem in quantum field theory: the nucleon
Abstract
We provide details on a recent solution of the nucleon's covariant Faddeev equation in an explicit three-quark approach. The full Poincare-covariant structure of the three-quark amplitude is implemented through an orthogonal basis obtained from a partial-wave decomposition. We employ a rainbow-ladder gluon exchange kernel which allows for a comparison with meson Bethe-Salpeter and baryon quark-diquark studies. We describe the construction of the three-quark amplitude in full detail and compare it to a notation widespread in recent publications. Finally, we discuss first numerical results for the nucleon's amplitude.
Keywords
Cite
@article{arxiv.0912.2876,
title = {Covariant solution of the three-quark problem in quantum field theory: the nucleon},
author = {G. Eichmann and R. Alkofer and A. Krassnigg and D. Nicmorus},
journal= {arXiv preprint arXiv:0912.2876},
year = {2010}
}
Comments
10 pages, 4 figures, 4 tables; Contributed to the 19th International IUPAP Conference on Few-Body Problems in Physics, Bonn, Germany, August 31 - September 5, 2009