Covariant solution of the three-quark problem in quantum field theory: the nucleon
arXiv:0912.2876 · doi:10.1051/epjconf/20100303028
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.
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
References in corpus (2)
Cited by in corpus (15)
- Nucleon electromagnetic form factors from the covariant Faddeev equation
- Nucleon axial and pseudoscalar form factors from the covariant Faddeev equation
- Pion cloud effects on baryon masses
- Delta and Omega masses in a three-quark covariant Faddeev approach
- Nucleon to Delta electromagnetic transition in the Dyson-Schwinger approach
- Octet and Decuplet masses: a covariant three-body Faddeev calculation
- Nucleon Compton scattering in the Dyson-Schwinger approach
- Matrix algorithms for solving (in)homogeneous bound state equations
- Hadronic Observables from Dyson-Schwinger and Bethe-Salpeter equations
- Electromagnetic transition form factors of baryons in the space-like momentum region
- Hyperon elastic electromagnetic form factors in the space-like momentum region
- Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe-Salpeter-equation approach
- Theory introduction to baryon spectroscopy
- Delta properties in the rainbow-ladder truncation of Dyson-Schwinger equations
- S- and D-wave vector charmonia