On asymptotic stability of the Skyrmion

Bizoń, Piotr; Chmaj, Tadeusz; Rostworowski, Andrzej

On asymptotic stability of the Skyrmion

Authors

Bizoń, Piotr

Chmaj, Tadeusz

Rostworowski, Andrzej

Description

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.
4 pages, 4 figures, minor changes to match the PRD version