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

TL;DR

This paper calculates baryon octet and decuplet masses using a covariant three-body Faddeev approach, incorporating two-body interactions with flavor dependence, achieving reasonable agreement with experimental data.

Contribution

It introduces a covariant three-body Faddeev calculation of baryon masses including flavor-dependent meson-exchange effects, improving upon previous models.

Findings

Agreement with experimental spectrum within 5-10% without flavor forces

Flavor-dependent terms produce correct Sigma/Lambda splitting sign

Magnitude of splitting remains too small

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.