Classically Isospinning Hopf Solitons

Abstract

We perform full three-dimensional numerical relaxations of isospinning Hopf solitons with Hopf charge up to 8 in the Skyrme-Faddeev model with mass terms included. We explicitly allow the soliton solution to deform and to break the symmetries of the static configuration. It turns out that the model with its rich spectrum of soliton solutions, often of similar energy, allows for transmutations, formation of new solution types and the rearrangement of the spectrum of minimal-energy solitons in a given topological sector when isospin is added. We observe that the shape of isospinning Hopf solitons can differ qualitatively from that of the static solution. In particular the solution type of the lowest energy soliton can change. Our numerical results are of relevance for the quantization of the classical soliton solutions.

19 pages, 11 figures, v2. Published version

References in corpus (5)

• Knots in the Skyrme-Faddeev model
• Light Nuclei as Quantized Skyrmions
• Massive Hopfions
• Glueball mass from quantized knot solitons and gauge-invariant gluon mass
• Investigation of the stability of Hopfions in the two-component Ginzburg-Landau model

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• Oscillons in a perturbed signum-Gordon model
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• Hopfions interaction from the viewpoint of the product ansatz
• Magnetic Hopfions in the Faddeev-Skyrme-Maxwell model
• Exact knot solutions in a generalized Skyrme-Faddeev model
• Nontrivial Causal Structures Engendered by Knotted Solitons
• Isospinning Skyrmions