Multi-Skyrmions with orientational moduli

TL;DR

This paper investigates how orientational moduli influence multi-Skyrmion configurations, revealing they reduce repulsion and are energetically favorable under finite volume conditions, adding isospin degrees of freedom.

Contribution

It introduces the condensation mechanism of orientational moduli on multi-Skyrmions and uncovers their effects on interactions and energetics in the Skyrme model.

Findings

Orientational moduli decrease Skyrmion repulsion.

Moduli condensation is energetically favorable with finite volume effects.

Solutions can be interpreted as Skyrmions with isospin degrees of freedom.

Abstract

We analyze the mechanism of condensation of orientational moduli (as introduced in [25]) on multi-Skyrmionic configurations of the four-dimensional Skyrme model. The present analysis reveals interesting novel features. First of all, the orientational moduli tend to decrease the repulsive interactions between Skyrmions, the effect decreasing with the increase of the Baryon number. Moreover, in the case of a single Skyrmion, the appearance of moduli is energetically favorable if finite volume effects are present. Otherwise, in the usual flat topologically trivial case, it is not. In the low energy theory these solutions can be interpreted as Skyrmions with additional isospin degrees of freedom.