Abstract
The equations of motion of the Skyrme model with a mass term are studied, and a variety of new solutions found, including a string-like solution having cylindrical symmetry, and a slab-like solution. In addition, it is demonstrated that the hedgehog (skyrmion) solves the equations. The new solutions are classically unstable, having vanishing topological winding density. The string-like solutions may be relevant to nuclear physics since one may speculate that these solutions are related to the QCD string. The string tension of the cylindrical solution is found to be approximately 0.85 GeV/fm. Although the slab-like solutions appear less experimentally accessible, they might be relevant to high-energy nuclear collisions. The slab-like solution has a counterpart in 2 + 1 dimensional Skyrme models, where it appears as a string-like object. In this context, this solution may have applications in solid-state physics.
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