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20082022
most citedWeaving knotted vector fields with tunable helicity

55 citations · 339 across the 16 of their papers we have counts for

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hep-th2017★ 10 cited

The BPS sectors of the Skyrme model and their non-BPS extensions

C. Adam, D. Foster, S. Krusch +1

Two recently found coupled BPS submodels of the Skyrme model are further analyzed. Firstly, we provide a geometrical formulation of the submodels in terms of the eigenvalues of the…

hep-th2016★ 5 cited

The decay of Hopf solitons in the Skyrme model

David Foster

It is understood that the Skyrme model has a topologically interesting baryonic excitation which can model nuclei. So far no stable knotted solutions, of the Skyrme model, have bee…

hep-th2014★ 22 cited

Scattering of Skyrmions

David Foster, Steffen Krusch

In this paper, we present a detailed study of Skyrmion-Skyrmion scattering for two Skyrmions in the attractive channel where we observe two different scattering regimes. For…

hep-th2013★ 9 cited

Negative Baryon density and the Folding structure of the B=3 Skyrmion

David Foster, Steffen Krusch

The Skyrme model is a non-linear field theory whose solitonic solutions, once quantised, describe atomic nuclei. The classical static soliton solutions, so-called Skyrmions, have i…

hep-th2012★ 2 cited

Static Hopfion solutions of the extended Skyrme-Faddeev model

David Foster

We construct non-axially symmetric static soliton solutions, with non-zero topological charges, of an extension of the Skyrme-Faddeev model. The model has an extra quartic-derivati…

hep-th2012★ 6 cited

Helical buckling of Skyrme-Faddeev solitons

David Foster, Derek Harland

Solitons in the Skyrme-Faddeev model on R^2xS^1 are shown to undergo buckling transitions as the circumference of the S^1 is varied. These results support a recent conjecture that…