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Asymptotic stability of the Skyrmion

Piotr Bizoń, Tadeusz Chmaj, and Andrzej Rostworowski
Phys. Rev. D 75, 121702(R) – Published 20 June 2007

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 nonlinear phenomenon.

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  • Received 11 January 2007

DOI:https://doi.org/10.1103/PhysRevD.75.121702

©2007 American Physical Society

Authors & Affiliations

Piotr Bizoń1, Tadeusz Chmaj2,3, and Andrzej Rostworowski1

  • 1M. Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland
  • 2H. Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, Kraków, Poland
  • 3Cracow University of Technology, Kraków, Poland

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Issue

Vol. 75, Iss. 12 — 15 June 2007

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