Baby Skyrmions on the two-sphere

Itay Hen and Marek Karliner
Phys. Rev. E 77, 036612 – Published 25 March 2008

Abstract

We find the static multisoliton solutions of the baby Skyrme model on the two-sphere for topological charges 1B14. Numerical full-field results show that the charge-one Skyrmion is spherical, the charge-two Skyrmion is toroidal, and Skyrmions with higher charge all have point symmetries which are subgroups of O(3). We find that a rational map ansatz yields very good approximations to the full-field solutions. We point out a strong connection between the discrete symmetries of our solutions and those of corresponding solutions of the three-dimensional Skyrme model.

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  • Received 4 December 2007

DOI:https://doi.org/10.1103/PhysRevE.77.036612

©2008 American Physical Society

Authors & Affiliations

Itay Hen* and Marek Karliner

  • Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv 69978, Israel

  • *itayhe@post.tau.ac.il
  • marek@proton.tau.ac.il

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Issue

Vol. 77, Iss. 3 — March 2008

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