{
  "abstract": "We study radiation and nonlinear damping of a spherically symmetric localized mode of an $O(3)$ thermal critical bubble. The leading second-harmonic radiation amplitude is determined by the overlap between a nonlinear source and a continuum scattering wave. This overlap can vanish through destructive interference as the supercooling is varied, even when the second harmonic lies above the continuum threshold. A signed-overlap scan resolves five zeros in a finite parameter interval, including three on the thinner-wall side of the two representative roots studied in detail. For these representative roots, half-line Jost--Green calculations, threshold-preserving wall deformations, and constrained radial evolution verify the cancellation and its robustness. Near a selected root, fourth-order perturbation theory predicts an $A^2$ displacement of the finite-amplitude radiation minimum and an $A$-linear width of the third-harmonic-dominated region; radial evolution quantitatively tests both relations. At the selected zero, third-harmonic loss predicts $A\\simτ^{-1/4}$, instead of the generic $A\\simτ^{-1/2}$ law. Measured harmonic powers and a slow-envelope reconstruction support this hierarchy. Independent center-stable shooting recovers the unprojected third-harmonic coefficient, which differs from the fixed-projector value. The results connect a tunable radiation form factor to nonlinear relaxation of an internal mode on an unstable nucleation saddle.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15056",
  "author_total": 2,
  "authors": [
    {
      "name": "Tomohiro Inagaki"
    },
    {
      "name": "Yuko Murakami"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4gjzkawxagjas.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15056",
  "fulltext_url": null,
  "id": "4gjzkawxagjas",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15056",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3109|Nonlinear Waves and Solitons"
    ]
  ],
  "openalex": "W7213347626",
  "pdf_url": "https://arxiv.org/pdf/2609.15056",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4gjzkawxagjas.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.15056",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15056"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Open-channel radiation zeros and nonlinear damping of a critical-bubble internal mode",
  "title_text": "Open-channel radiation zeros and nonlinear damping of a critical-bubble internal mode",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:25Z",
  "url": "https://research.draconitic.com/paper/4gjzkawxagjas",
  "venue": "arXiv",
  "versions": []
}