Skyrmions from SU(3) harmonic maps and their quantization

TL;DR

This paper estimates static properties of SU(3) multiskyrmions up to baryon number 6 using a generalized rational map approach, analyzing classical and quantum effects on their energies.

Contribution

It introduces a generalized SU(3) rational map ansatz for multiskyrmions and evaluates classical and quantum energies, highlighting quantum corrections' impact on stability.

Findings

Quantum corrections can reverse classical energy ordering.

Both SU(2) embedded and genuine SU(3) solutions are analyzed.

Quantum energy correction depends on the inverse inertia tensor and WZ-term.

Abstract

Static properties of SU(3) multiskyrmions with baryon number up to 6 (classical masses and momenta of inertia) are estimated. The calculations are based on the recently suggested generalization of the SU(2) rational map ansaetze applied to the SU(3) model. Both SU(2) embedded skyrmions and genuine SU(3) solutions are considered, and it is shown that although, at the classical level, the energy of embeddings is lower, the quantum corrections can alter this conclusion. This correction to the energy of lowest state, bilinear in the Wess-Zumino (WZ) term, is presented for the most general case as a convolution of the inverse tensor of inertia and the components of the WZ-term.