The lightest flavor--singlet qqq baryons as witnesses to color

TL;DR

This paper models the excitations of flavor singlet qqq baryons in Coulomb gauge QCD, providing insights into their spectrum and decay properties, highlighting the role of color degrees of freedom.

Contribution

It introduces a novel field-theoretical computation of flavor singlet baryon excitations and analyzes their decay patterns within a Coulomb gauge QCD framework.

Findings

Computed radial and angular excitations of flavor singlet baryons.

Tested the model with known decuplet baryons Delta and Omega.

Analyzed decay branching fractions for various baryon masses.

Abstract

We present a new computation in a field-theoretical model of Coulomb gauge QCD of the first radial and angular excitations of a qqq system in a SU(3) flavor singlet state, Lambda_S. The traditional motivation for the study is that the absence of flavor singlets in the lowest-lying spectrum is a direct consequence of the color degree of freedom. (The calculation is tested with decuplet baryons Delta(1232) and Omega(1672).) We also analyze decay branching fractions of the flavor singlet baryon for various masses with the simplest effective Lagrangians.