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Resonance in elastic kink-meson scattering

Bilguun Bayarsaikhan* and Jarah Evslin†

  • *Contact author: ph.bilguun@gmail.com
  • †Contact author: jarah@impcas.ac.cn
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Phys. Rev. D 114, 045003 – Published 7 August, 2026

DOI: https://doi.org/10.1103/ncms-nl62

Abstract

We analytically sum the leading bubble diagrams that contribute to the elastic scattering amplitude of a kink and a meson in the ϕ4 double-well model. We find a single peak, corresponding to the unstable kink state in which the shape mode is excited twice. The peak has the usual Breit-Wigner form, and its imaginary part agrees with the shape mode decay rate found by Manton and Merabet.

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Phys. Rev. D 114, 045003– Published 7 August, 2026
  • Received 1 April 2026
  • Accepted 25 June 2026
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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.

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