{
  "abstract": "Unitarity imposes coupled constraints on elastic and inelastic amplitudes. Satisfying them requires resummation of the self-energy contributions from both elastic and inelastic channels. Inelastic channels generate anti-Hermitian contributions that can be consistently deduced from the unitarity relation underlying the optical theorem, leading to non-local separable potentials and a compact unitarization scheme in the non-relativistic regime. We present two alternative derivations of the anti-Hermitian kernel, from the continuity equation and by integrating out inelastic channels. We further extend this framework to treat non-analytic and non-convergent behavior of inelastic amplitudes in the complex momentum plane and to incorporate bound states. For non-convergent amplitudes, we demonstrate a simple renormalization procedure in which anti-Hermitian separable potentials necessarily induce Hermitian separable counterterms, yielding finite cross sections consistent with unitarity. These results provide a general tool for non-relativistic scattering problems, with clear applications to dark-matter phenomenology.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2512.02097",
  "author_total": 2,
  "authors": [
    {
      "name": "Marcos M Flores"
    },
    {
      "name": "Kalliopi Petraki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7bm25jd5xj5mj.bib",
  "cited_by": 1,
  "doi": "10.1007/jhep06(2026)148",
  "fulltext_url": null,
  "id": "7bm25jd5xj5mj",
  "issns": [
    "1126-6708",
    "1029-8479"
  ],
  "landing_url": "https://hal.science/hal-05419497v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.phys"
    ],
    [
      "hal",
      "1.phys.hphe"
    ],
    [
      "hal",
      "1.phys.hthe"
    ],
    [
      "openalex",
      "3106|Particle physics theoretical and experimental studies"
    ]
  ],
  "openalex": "W4417000440",
  "pdf_url": "https://hal.science/hal-05419497/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-12",
  "publisher": "Springer",
  "ris": "https://research.draconitic.com/paper/7bm25jd5xj5mj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:36Z",
      "native_id": "hal-05419497",
      "source": "hal",
      "url": "https://hal.science/hal-05419497v1"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "hal:1.phys.hphe",
      "subfield": "high-energy"
    }
  ],
  "title": "Unitarizing non-relativistic scattering",
  "title_text": "Unitarizing non-relativistic scattering",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:36Z",
  "url": "https://research.draconitic.com/paper/7bm25jd5xj5mj",
  "venue": "Journal of High Energy Physics",
  "versions": []
}