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arXiv · 0912.2876

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

G. Eichmann·R. Alkofer·A. Krassnigg·D. Nicmorus
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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.

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G. Eichmann, R. Alkofer, A. Krassnigg, D. Nicmorus. 2009-12-15. Covariant solution of the three-quark problem in quantum field theory: the nucleon. https://doi.org/10.1051/epjconf%2F20100303028

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