Covariant solution of the three-quark problem in quantum field theory: the nucleon

Details Covariant solution of the three-quark problem in quantum field theory: the nucleon Covariant solution of the three-quark problem in quantum field theory: the nucleon

2009-12-15

arxiv.org/abs/0912.2876v1

EPJ Web Conf. 3:03028,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 4 figures, 4 tables; Contributed to the 19th International IUPAP Conference on Few-Body Problems in Physics, Bonn, G

Scientific paper

10.1051/epjconf/20100303028

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.

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