Octet and Decuplet masses: a covariant three-body Faddeev calculation

Abstract

We determine the baryon octet and decuplet masses as well as their wave functions in a covariant three-body Faddeev approach. We work in an approximation where irreducible three-body forces are neglected. In the two-body interactions we take into account a well explored rainbow-ladder kernel as well as flavor dependent meson-exchange terms motivated from the underlying quark-gluon interaction. Without flavor dependent forces we find agreement with the experimental spectrum on the 5-10 percent level. Including the flavor dependent terms on an exploratory level delivers a Sigma/Lambda splitting with the correct sign although the magnitude is still too small.

11 pages, 2 figures

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• On light baryons and their excitations
• Light Baryon Spectroscopy
• Electromagnetic Transition Form Factors of Baryon Resonances
• Nucleon axial-vector and pseudoscalar form factors, and PCAC relations
• Spectroscopy of light $N^{\ast }$ baryons
• Spectroscopy of Light Baryons: $\Delta$ Resonances
• Spectroscopic properties of $\Delta$ Baryons
• Theory introduction to baryon spectroscopy
• Perturbative method to estimate meson masses in the framework of Bethe-Salpeter equation beyond its dominant interaction
• Baryons with functional methods