Toroidal Solitons in Nicole-type Models

Abstract

A family of modified Nicole models is introduced. We show that for particular members of the family a topological soliton with a non-trivial value of the Hopf index exists. The form of the solitons as well as their energy and topological charge is explicitly found. They appear to be identical as the so-called eikonal knots. The relation between energy and topological charge of the solution is also presented. Quite interesting it seems to differ drastically from the standard Vakulenko-Kapitansky formula.

9 pages, to be published in Eur. Phys. J. C

References in corpus (2)

• Skyrmions and Faddeev-Hopf Solitons
• Symmetries of generalized soliton models and submodels on target space $S^2$

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• Investigation of the Nicole model
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• Generalized Eikonal Knots and New Integrable Dynamical Systems
• Hopf solitons and Hopf Q-balls on S^3
• Pullback of the Volume Form, Integrable Models in Higher Dimensions and Exotic Textures
• Conservation laws in Skyrme-type models
• New Integrable Sectors in Skyrme and 4-dimensional CP^n Model
• Soliton stability in some knot soliton models
• Integrability and Diffeomorphisms on Target Space