{
  "abstract": "Radiative proton capture on ${}^{12}\\mathrm{C}$ to the ground state of ${}^{13}\\mathrm{N}$ is calculated in cluster effective field theory through next-to-leading order. At low energy the reaction is dominated by $s_{1/2}\\to p_{1/2}$ $E1$ capture, which we treat in the long-wavelength limit. Its amplitude is strongly hindered by destructive interference between the contribution fixed by gauge invariance and a counter-term $E1$ current, making the capture particularly sensitive to subleading terms. We fit the recent data below $0.95$~MeV, determining the $E1$ transition counter-term coefficients together with the ground-state asymptotic normalization coefficient and the $\\frac{1}{2}^+$ resonance and shape parameters. We obtain $S(0)=1.34\\pm0.07$~keV\\,b and $S(25~\\mathrm{keV})=1.43\\pm0.07$~keV\\,b, the latter in agreement with recent $R$-matrix extrapolations. We also estimate the effects of the omitted $p$-wave $M1$ capture and $\\frac{3}{2}^-$ resonance tail, and find that the fitted asymptotic normalization coefficient moves substantially while the $S$ factors remain almost unchanged.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.39881",
  "author_total": 3,
  "authors": [
    {
      "name": "Tae-Sun Park"
    },
    {
      "name": "Eunjin In"
    },
    {
      "name": "Young-Ho Song"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/acb06ex4eatbw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.39881",
  "fulltext_url": null,
  "id": "acb06ex4eatbw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.39881",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3106|Nuclear physics research studies"
    ]
  ],
  "openalex": "W7215111069",
  "pdf_url": "https://arxiv.org/pdf/2609.39881",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/acb06ex4eatbw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.39881",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.39881"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Radiative proton capture on ${}^{12}\\mathrm{C}$ in cluster effective field theory",
  "title_text": "Radiative proton capture on ^12C in cluster effective field theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/acb06ex4eatbw",
  "venue": "arXiv",
  "versions": []
}