SU(3) systematization of baryons

TL;DR

This paper reviews baryon spectra below 2200 MeV using SU(3) symmetry, catalogues known baryons, predicts new strange particles, and explores antidecuplet mixing to explain decay patterns.

Contribution

It systematically applies SU(3) symmetry and mass formulas to classify baryons, predicts new strange hyperons, and analyzes antidecuplet mixing effects on decays.

Findings

Catalogued almost all known baryons in SU(3) multiplets.

Predicted existence of a /2^- lavor hyperon around 1850 MeV.

Proposed a mixing scenario for antidecuplet and octet to explain decay patterns.

Abstract

We review the spectrum of all baryons with the mass less than approximately 2000-2200 MeV using methods based on the approximate flavor SU(3) symmetry of the strong interaction. The application of the Gell-Mann--Okubo mass formulas and SU(3)-symmetric predictions for two-body hadronic decays allows us to successfully catalogue almost all known baryons in twenty-one SU(3) multiplets. In order to have complete multiplets, we predict the existence of several strange particles, most notably the \Lambda hyperon with J^P=3/2^-, the mass around 1850 MeV, the total width approximately 130 MeV, significant branching into the \Sigma \pi and \Sigma(1385) \pi states and a very small coupling to the N \bar{K} state. Assuming that the antidecuplet exists, we show how a simple scenario, in which the antidecuplet mixes with an octet, allows to understand the pattern of the antidecuplet decays and make predictions for the unmeasured decays.