On asymptotic stability of the Skyrmion

Details On asymptotic stability of the Skyrmion On asymptotic stability of the Skyrmion

2007-01-11

arxiv.org/abs/math-ph/0701037v3

Phys.Rev.D75:121702,2007

Physics

Mathematical Physics

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

Scientific paper

10.1103/PhysRevD.75.121702

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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