The 1-soliton in the SO(3) gauged Skyrme model with mass term

TL;DR

This paper investigates how adding a pion-mass potential affects solitons in the SO(3) gauged Skyrme model, revealing significant differences from the ungauged case, especially in energy dependence on the coupling constant.

Contribution

It introduces the effects of a pion-mass potential into the SO(3) gauged Skyrme model, highlighting its decisive impact on soliton properties unlike in the ungauged model.

Findings

Mass term significantly alters soliton energy dependence.

Contrasts with marginal effects in the ungauged Skyrme model.

Results show new soliton behaviors due to the potential.

Abstract

The solitons of the SO(3) gauged Skyrme model with no pion-mass potential were studied in Refs. {nl,jmp}. Here, the effects of the inclusion of this potential are studied. In contrast with the (ungauged) Skyrme model, where the effect of this potential on the solitons is marginal, here it turns out to be decisive, resulting in very different dependence of the energy as a function of the Skyrme coupling constant.