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Mesons, baryons and waves in the baby Skyrmion model

1996/11/26 by A. E. Kudryavtsev, A. Kudryavtsev, Bernard Piette +2 · 27 citations
Physics and Astronomy · #Baryon #Black Holes and Theoretical Physics #Energy (signal processing) #Meson #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Quantum mechanics #Skyrmion #hep-th

paper · pdf · doi:10.1007/bf01245822

published in The European Physical Journal C 1(1-2), 333-341 (Springer Science+Business Media) · plain tex : 17 pages, 14 Postscript figures, uses epsf.tex

arxiv created 1996/11/26 · openalex publication_date 1998/03/01 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study various classical solutions of the baby-Skyrmion model in (2+1) dimensions. We point out the existence of higher energy states interpret them as resonances of Skyrmions and anti-Skyrmions and study their decays. Most of the discussion involves a highly exited Skyrmion-like state with winding number one which decays into an ordinary Skyrmion and a Skyrmion-anti-Skyrmion pair. We also study wave-like solutions of the model and show that some of such solutions can be constructed from the solutions of the sine-Gordon equation. We also show that the baby-Skyrmion has non-topological stationary solutions. We study their interactions with Skyrmions.

Citations