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On asymptotic stability of the Skyrmion

Piotr Bizoń·Tadeusz Chmaj·Andrzej Rostworowski
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Abstract

We study the asymptotic behavior of spherically symmetric solutions in the Skyrme model. We show that the relaxation to the degree-one soliton (called the Skyrmion) has a universal form of a superposition of two effects: exponentially damped oscillations (the quasinormal ringing) and a power law decay (the tail). The quasinormal ringing, which dominates the dynamics for intermediate times, is a linear resonance effect. In contrast, the polynomial tail, which becomes uncovered at late times, is shown to be a \emph{nonlinear} phenomenon.

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Piotr Bizoń, Tadeusz Chmaj, Andrzej Rostworowski. 2007-05-21. On asymptotic stability of the Skyrmion. https://doi.org/10.1103/physrevd.75.121702

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