| Issue |
EPJ Web of Conferences
Volume 3, 2010
19th International IUPAP Conference on Few-Body Problems in Physics
|
|
|---|---|---|
| Article Number | 03028 | |
| Number of page(s) | 10 | |
| Section | Few-Hadron Systems | |
| DOI | https://doi.org/10.1051/epjconf/20100303028 | |
| Published online | 12 April 2010 | |
https://doi.org/10.1051/epjconf/20100303028
Covariant solution of the three-quark problem in quantum field theory: the nucleon
1
Institute for Nuclear Physics, Darmstadt University of Technology, 64289
Darmstadt,
Germany
2
Institut für Physik, Karl-Franzens-Universität
Graz, 8010
Graz,
Austria
a e-mail: gernot.eichmann@physik.tu-darmstadt.de
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
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