TL;DR
This paper investigates the properties of Q-balls in the baby Skyrme model, revealing the intrinsic nature of peakons and analyzing the existence and characteristics of compact non-spinning Q-balls.
Contribution
It demonstrates that peakons are inherent to the baby Skyrme model regardless of potential form and examines the limitations of small parameter expansions for Q-balls.
Findings
Peakons are intrinsic to the baby Skyrme model.
Small parameter expansion fails for compact non-spinning Q-balls.
Q-ball solutions depend on model parameters.
Abstract
In this paper we investigate the Q-ball Ansatz in the baby Skyrme model. First, the appearance of peakons, i.e. solutions with extremely large absolute values of the second derivative at maxima, is analyzed. It is argued that such solutions are intrinsic to the baby Skyrme model and do not depend on the detailed form of a potential used in calculations. Next, we concentrate on compact non spinning Q-balls. We show the failure of a small parameter expansion in this case. Finally, we explore the existence and parameter dependence of Q-ball solutions.
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