Interaction of hopfions of charge 1 and 2 from product ansatz

Abstract

We continue the discussion on the interaction energy of the axially symmetric Hopfions evaluated directly from the product anzsatz. The Hopfions are given by the projection of Skyrme model solutions onto the coset space SU(2)/U(1). Our results show that if the separation between the constituents is not small, the product ansatz can be considered as a good approximation to the general pattern of Hopfions interaction both in repulsive and attractive channel.

arXiv comment7 pages, 10 figures, submitted to EPL. arXiv admin note: text overlap with arXiv:1401.6355

References in corpus (13)

• Knots and Particles
• Partially Dual variables in SU(2) Yang-Mills Theory
• Rational Maps, Monopoles and Skyrmions
• To be or knot to be?
• Hidden symmetry and knot solitons in a charged two-condensate Bose system
• Static solitons with non-zero Hopf number
• Knots in the Skyrme-Faddeev model
• Multi-soliton dynamics in the Skyrme model
• Non-Meissner electrodynamics and knotted solitons in two-component superconductors
• The Interaction of Two Hopf Solitons
• Investigation of the stability of Hopfions in the two-component Ginzburg-Landau model
• Scattering of knotted vortices (Hopfions) in the Faddeev-Skyrme model
• Hopfions interaction from the viewpoint of the product ansatz