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Aloof baby Skyrmions

Salmi, P.; Sutcliffe, P.M.

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P. Salmi


We show that a suitable choice for the potential term in the two-dimensional baby Skyrme model yields solitons that have a short-range repulsion and a long-range attraction. The solitons are therefore aloof, in the sense that static multi-soliton bound states have constituents that preserve their individual identities and are sufficiently far apart that tail interactions yield small binding energies. The static multi-soliton solutions are found to have a cluster structure that is reproduced by a simple binary species particle model. In the standard three-dimensional Skyrme model of nuclei, solitons are too tightly bound and are often too symmetric, due to symmetry enhancement as solitons coalesce to form bound states. The aloof baby Skyrmion results endorse a way to resolve these issues and provides motivation for a detailed study of the related three-dimensional version of the Skyrme model.


Salmi, P., & Sutcliffe, P. (2015). Aloof baby Skyrmions. Journal of Physics A: Mathematical and Theoretical, 48(3), Article 035401.

Journal Article Type Article
Publication Date Jan 23, 2015
Deposit Date Dec 18, 2014
Publicly Available Date Dec 18, 2014
Journal Journal of Physics A: Mathematical and Theoretical
Print ISSN 1751-8113
Electronic ISSN 1751-8121
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 48
Issue 3
Article Number 035401


Accepted Journal Article (1.9 Mb)

Copyright Statement
© 2015 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article accepted for publication in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at

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