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arXiv · 1408.5577

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

Helios Sanchis-Alepuz·Christian S. Fischer
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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.

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Helios Sanchis-Alepuz, Christian S. Fischer. 2014-08-24. Octet and Decuplet masses: a covariant three-body Faddeev calculation. https://doi.org/10.1103/physrevd.90.096001

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