Skyrmion--Anti-Skyrmion Chains

Details Skyrmion--Anti-Skyrmion Chains Skyrmion--Anti-Skyrmion Chains

2009-06-30

arxiv.org/abs/0906.5583v2

J.Phys.A43:025401,2010

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 4 figures, typos corrected, Table 2 added

Scientific paper

10.1088/1751-8113/43/2/025401

Static axially symmetric sphaleron-type solutions describing chains of interpolating Skyrmion--anti-Skyrmions have been constructed numerically. The configurations are characterized by two integers n and m, where $\pm n$ are the winding numbers of the constituent Skyrmion and anti-Skyrmion and the second integer m defines type of the solution, it has zero topological charge for even m and for odd values of m the Skyrmion--anti-Skyrmion chain has topological charge n. For the vanishing mass term we confirm the existence of such chain solutions for winding number $|n| \ge 2$. The similarity with monopole--anti-monopole pairs is highlighted.

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