Investigation of restricted baby Skyrme models
High Energy Physics - Theory
2010-04-14 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
A restriction of the baby Skyrme model consisting of the quartic and potential terms only is investigated in detail for a wide range of potentials. Further, its properties are compared with those of the corresponding full baby Skyrme models. We find that topological (charge) as well as geometrical (nucleus/shell shape) features of baby skyrmions are captured already by the soliton solutions of the restricted model. Further, we find a coincidence between the compact or non-compact nature of solitons in the restricted model, on the one hand, and the existence or non-existence of multi-skyrmions in the full baby Skyrme model, on the other hand.
Cite
@article{arxiv.1002.0851,
title = {Investigation of restricted baby Skyrme models},
author = {C. Adam and T. Romanczukiewicz and J. Sanchez-Guillen and A. Wereszczynski},
journal= {arXiv preprint arXiv:1002.0851},
year = {2010}
}
Comments
latex, 18 pages, 2 figures; some typos corrected