Stability of the rotating SU(3) Skyrmion

TL;DR

This paper studies the stability of SU(3) Skyrmion solitons for various baryon multiplets using a mean field approach, revealing stability conditions and the impact of flavor symmetry breaking on soliton deformation and baryon masses.

Contribution

It provides a detailed analysis of the stability regions of SU(3) Skyrmions considering flavor symmetry breaking and rotation effects, which is a novel application of the mean field approach.

Findings

Stability of solitons depends on specific parameter regions.

Large flavor symmetry breaking narrows the stability region for antidecuplet.

Soliton deformation significantly influences baryon mass predictions.

Abstract

The profile functions of the SU(3) Skyrme soliton are investigated for the octet, decuplet, and antidecuplet baryons by the mean field approach. In this approach, the profile functions are affected by the spatial rotation, the flavor rotation, and the flavor symmetry breaking. The solitons are stable only in the restricted areas of the parameter space for each multiplet. When the flavor symmetry breaking is large, the area for the antidecuplet is narrow compared to those for the octet and decuplet. The parameters are determined by the baryon mass spectrum, and the deformation of the soliton has sizable effects on the masses.