Lattice calculations of the spectroscopy of baryons with broken flavor SU(3) symmetry and 3, 5, or 7 colors

TL;DR

This paper uses lattice Monte Carlo methods to study baryon spectra across different SU(N) gauge groups, revealing regularities consistent with 1/N expansions, and extending understanding beyond the standard SU(3) case.

Contribution

It provides the first systematic lattice calculations of baryon spectroscopy for SU(3), SU(5), and SU(7), highlighting regularities and their description via 1/N expansions.

Findings

Higher angular momentum states are heavier.

Sigma-like states are heavier than Lambda-like states.

Regularities are well described by 1/N expansions.

Abstract

Lattice Monte Carlo calculations of baryon spectroscopy in gauge groups SU(N), N=3, 5, 7, are presented. The quenched valence fermions come in three flavors, two degenerate mass ones and a third heavier flavor. The data shows striking regularities reminiscent of the real-world case of N=3: higher angular momentum states lie higher in mass, and Sigma-like states lie higher than Lambda-like ones. These simple regularities are reasonably well described by 1/N expansions.