Semiclassical quantization of SU(3) skyrmions

TL;DR

This paper performs semiclassical quantization of SU(3) skyrmions using collective coordinates, generalizing known conditions for SU(2) solitons, and estimates spectra and mass splittings for configurations with strangeness.

Contribution

It extends the collective coordinate quantization method to SU(3) skyrmions with non-zero strangeness, providing new estimates for spectra and static energies.

Findings

Quantization condition generalized for SU(3) skyrmions with strangeness.

Spectrum and mass splitting estimated for a dipole-type configuration.

Lower boundary for the static energy of SU(3) skyrmions derived.

Abstract

Semiclassical quantization of the SU(3)-skyrmions is performed by means of the collective coordinate method. The quantization condition known for the SU(2)-solitons quantized with SU(3) collective coordinates is generalized for the SU(3) skyrmions with strangeness content different from zero. Quantization of the dipole-type configuration with large strangeness content found recently is considered as an example, the spectrum and the mass splitting of the quantized states are estimated. The energy and baryon number density of SU(3) skyrmions are presented in the form emphasizing their symmetry in different SU(2) subgroups of SU(3), and the lower boundary for the static energy of SU(3) skyrmions is derived.