Baby Skyrmion Strings

Abstract

We provide analytical and numerical evidence of the existence of classically stable, string-like configurations in a 2+1 dimensional analog of the Skyrme model. The model contains a conserved topological charge usually called the baryon number. Our strings are non-topological solitons which have a constant baryon number per unit length. The energy per length containing one baryon is, however, less than the energy of an isolated baryon (radially symmetric ``baby Skyrmion") in a region of the parameter space, which suggests a degree of stability for our configurations. In a limiting case, our configuration saturates a Bogomolnyi-type bound and is degenerate in energy per baryon with the baby Skyrmion. In another limiting case, the energies are still degenerate but do not saturate the corresponding Bogomolnyi-type bound. Nonetheless, we expect the string to be stable here. Both limiting cases are solvable analytically.

Latex, (revtex), with one figure in a separate postscript file, 12 pages

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• Multisolitons in a Two-dimensional Skyrme Model
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• Attractive Channel Skyrmions and the Deuteron
• Dynamics of Moving and Spinning Skyrmions
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Cited by in corpus (8)

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• Winding Hopfions on R^2 x S^1
• Walls and chains of planar skyrmions
• Self-dual solitons in a generalized Chern-Simons baby Skyrme model
• Skyrmion-string defects with arbitrary topological charges in spinor Bose-Einstein condensates
• A Unified Construction of Skyrme-type Non-linear sigma Models via The Higher Dimensional Landau Models
• Twisted Skyrmion String