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Mesons, baryons and waves in the baby Skyrmion model

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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 model has non-topological stationary solutions. We study their interactions with Skyrmions.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Durham, DH1 3LE, Durham, England

    A. Kudryavtsev, B. Piette & W. J. Zakrzewski

  2. ITEP, Moscow, Russia

    A. Kudryavtsev

Authors
  1. A. Kudryavtsev
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  2. B. Piette
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  3. W. J. Zakrzewski
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Kudryavtsev, A., Piette, B. & Zakrzewski, W.J. Mesons, baryons and waves in the baby Skyrmion model. Eur. Phys. J. C 1, 333–341 (1998). https://doi.org/10.1007/BF01245822

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  • DOI: https://doi.org/10.1007/BF01245822

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