Topological and nontopological self-dual Chern-Simons solitons in a gauged O(3) {sigma} model
- School of Mathematical Sciences, Dublin City University, Glasnevin, Dublin 9 (Ireland)
- Department of Mathematical Physics, St Patrick`s College Maynooth, Maynooth, Irel
- Department of Applied Mathematics and Physics, Polytechnic University, Brooklyn, New York 11201 (United States)
We present topological and nontopological self-dual soliton solutions in an O(2) gauged O(3) {sigma} model on R{sub 2} with Chern-Simons rather than Maxwell dynamics. These solutions are not vortices in the usual sense in that the {ital magnetic} {ital flux} is irrelevant to the stability of the topological solitons, which are stabilized by the degree {ital N}, but it plays a crucial role in the stabilization of the nontopological solitons. It turns out that {ital topological} and {ital nontopological} solitons of arbitrary vorticity {ital N} exist. We have studied both types of vortices with {ital N}=1 and {ital N}=2, and the nontopological soliton with {ital N}=0 numerically. We present analytic proofs for the existence of these topological and nontopological solitons. The qualitative features of the gauged O(3) solitons are contrasted with those of the gauged CP{sup 1} solitons. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 385872
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 8 Vol. 54; ISSN 0556-2821; ISSN PRVDAQ
- Country of Publication:
- United States
- Language:
- English
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