Toroidal solitons in Nicoletype models
Abstract
A family of modified Nicole models is introduced. We show that for particular members of the family a topological soliton with a nontrivial 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 to the socalled eikonal knots. The relation between energy and topological charge of the solution is also presented. Quite interestingly it seems to differ drastically from the standard VakulenkoKapitansky formula.
 Publication:

European Physical Journal C
 Pub Date:
 May 2005
 DOI:
 10.1140/epjc/s2005021833
 arXiv:
 arXiv:mathph/0504008
 Bibcode:
 2005EPJC...41..265W
 Keywords:

 Soliton;
 Field Theory;
 Elementary Particle;
 Quantum Field Theory;
 Particle Acceleration;
 Mathematical Physics
 EPrint:
 9 pages, to be published in Eur. Phys. J. C