{
  "abstract": "The symmetry-conserving density functional theory (DFT)-based no-core configuration-interaction (DFT-NCCI) framework is applied for the first time to investigate the impact of configuration interaction (CI) on the Coulomb (isospin) impurity, $α_{\\rm C}$, in the ground and excited states of $^{10}$C, $^{10}$B, and $^{14}$N, as well as on the isospin-symmetry-breaking (ISB) correction to the superallowed $0^+ \\rightarrow 0^+$ $β$ decay of $^{10}$C. We demonstrate, among other findings, that within the DFT-NCCI framework CI has a negligible effect on the ground-state isospin impurities, which are dominated by a single doorway state. In contrast, CI significantly modifies the impurities in excited states, including the isobaric analogue $I=0^+,\\,T=1$ state in $^{10}$B. Hence, it also has a non-negligible impact on the ISB correction to the superallowed $β$ decay of $^{10}$C. Our calculations yield $\\barδ_{\\rm C}=0.45(4)\\%$ when the Coulomb interaction is taken as the sole source of ISB, and $\\barδ_{\\rm ISB}=0.46(6)\\%$ when short-range charge-symmetry-breaking (CSB) terms are included in addition. Hence, no statistically significant dependence of the ISB correction on the short-range CSB interaction is observed for this decay. Comparison with our previous results reveals a strong sensitivity to the nuclear symmetry energy, which governs the strength of the isospin-restoring force and whose value in finite nuclei remains difficult to constrain because of its intricate dependence on the momentum-dependent terms of the effective interaction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03545",
  "author_total": 4,
  "authors": [
    {
      "name": "Jakub Wysocki"
    },
    {
      "name": "Jan Miśkiewicz"
    },
    {
      "name": "Jagjit Singh"
    },
    {
      "name": "Wojciech Satuła"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6fhnj081gbhkq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03545",
  "fulltext_url": null,
  "id": "6fhnj081gbhkq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03545",
  "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",
      "nucl-th"
    ],
    [
      "openalex",
      "3106|Nuclear physics research studies"
    ]
  ],
  "openalex": "W7208782518",
  "pdf_url": "https://arxiv.org/pdf/2609.03545",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6fhnj081gbhkq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:31Z",
      "native_id": "2609.03545",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03545"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Influence of configuration-interaction on isospin impurities and isospin symmetry breaking corrections to superallowed $0^+\\rightarrow 0^+$ beta decays",
  "title_text": "Influence of configuration-interaction on isospin impurities and isospin symmetry breaking corrections to superallowed 0^+→ 0^+ beta decays",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:31Z",
  "url": "https://research.draconitic.com/paper/6fhnj081gbhkq",
  "venue": "arXiv",
  "versions": []
}