Covariant solution of the three-quark problem in quantum ﬁeld theory: the nucleon
Institute for Nuclear Physics, Darmstadt University of Technology, 64289
2 Institut für Physik, Karl-Franzens-Universität Graz, 8010 Graz, Austria
a e-mail: email@example.com
We provide details on a recent solution of the nucleon’s covariant Faddeev equation in an explicit three-quark approach. The full Poincaré-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.
© Owned by the authors, published by EDP Sciences, 2010