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Investigation of restricted baby Skyrme models

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.

preprint2010arXivOpen access
C. AdamT. RomanczukiewiczJ. Sanchez-GuillenA. Wereszczynski
math-phmath.MPnlin.SIhep-th
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C. AdamT. RomanczukiewiczJ. Sanchez-GuillenA. Wereszczynski

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