Abstract

We consider multisolitons with charges 1⩽ B⩽ 5 in the baby Skyrme model for the one-parametric family of potentials U= μ 2 (1− ϕ 3) s with 0< s⩽ 4. This class of potentials is a generalization of the'old'(s= 1) and'holomorphic'(s= 4) baby Skyrme models. We find that for charge one, stable solutions exist for every value of s and they are rotationally symmetric. For higher charges, stable solutions exist only below s≈ 2. In the charge-two sector the stable solutions are always rotationally symmetric and ring-like. For charge three and above, rotational symmetry is exhibited only in the small s region; above a certain critical value of s, this symmetry is broken and a strong repulsion between the constituent one-Skyrmions becomes apparent. We also compute the spatial energy distributions of these solutions.

Date

2008

Authors

Itay Hen, Marek Karliner

Journal

Nonlinearity

Volume

21

Issue

3

Pages

399

Publisher

IOP Publishing