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Several materials, such as ferromagnets, spinor Bose-Einstein condensates,and some topological insulators, are now believed to support knottedstructures. One of the most successful base-models having stable knots is theFaddeev-Skyrme model and it is expected to be contained in some of theseexperimentally relevant models. The taxonomy of knotted topological solitons(Hopfions) of this model is known. In this paper we describe some aspects ofthe dynamics of Hopfions and show that they do indeed behave like particles:during scattering the Hopf charge is conserved and bound states are formed whenthe dynamics allows it. We have also investigated the dynamical stability of apair of Hopfions in stacked or side-by-side configurations, whose theoreticalstability has been recently discussed by Ward.

Scattering of knotted vortices (Hopfions) in the Faddeev-Skyrme model