• Open Access

Spectral Walls in Soliton Collisions

C. Adam, K. Oles, T. Romanczukiewicz, and A. Wereszczynski
Phys. Rev. Lett. 122, 241601 – Published 17 June 2019

Abstract

During defect-antidefect scattering, bound modes frequently disappear into the continuous spectrum before the defects themselves collide. This leads to a structural, nonperturbative change in the spectrum of small excitations. Sometimes the effect can be seen as a hard wall from which the defect can bounce off. We show the existence of these spectral walls and study their properties in the ϕ4 model with Bogomol’nyi-Prasad-Sommerfield preserving impurity, where the spectral wall phenomenon can be isolated because the static force between the antikink and the impurity vanishes. We conclude that such spectral walls should surround all solitons possessing internal modes.

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  • Received 4 April 2019
  • Revised 10 May 2019

DOI:https://doi.org/10.1103/PhysRevLett.122.241601

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

C. Adam

  • Departamento de Física de Partículas, Universidad de Santiago de Compostela and Instituto Galego de Física de Altas Enerxias (IGFAE), E-15782 Santiago de Compostela, Spain

K. Oles, T. Romanczukiewicz, and A. Wereszczynski

  • Institute of Physics, Jagiellonian University, Lojasiewicza 11, Kraków 31-007, Poland

Article Text

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Issue

Vol. 122, Iss. 24 — 21 June 2019

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