ar X iv : 0 90 6 . 55 83 v 1 [ he p - th ] 3 0 Ju n 20 09 Skyrmion – Anti - Skyrmion Chains

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 ±n are the winding numbers of the constituent Skyrmion and antiSkyrmion 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| ≥ 2. The similarity with monopole–anti-monopole pairs is highlighted.