{
  "abstract": "We present a theoretical study of the three isospin channels of the isovector giant monopole resonance (IVGMR) within self-consistent Skyrme Hartree-Fock plus Random-Phase Approximation. A modified charge-exchange monopole operator is introduced to remove the dominant isobaric-analog-state contribution, thereby isolating the genuine radial isovector response. We derive the associated non-energy- and energy-weighted sum rules and establish approximate relations between the charge-exchange and non-charge-exchange strengths. The relative locations of the three IVGMR centroids are interpreted in terms of Coulomb displacement energies, the neutron-proton mass difference, and the finite-nucleus symmetry potential. Calculations for \\(^{48}\\)Ca, \\(^{90}\\)Zr, and \\(^{208}\\)Pb show that the non-charge-exchange centroid is accurately approximated by the average of the two charge-exchange centroids in medium-heavy and heavy nuclei. Using a broad set of Skyrme energy-density functionals, we find that the centroid energies of the three channels display a weak model dependence for a fixed nucleus, whereas the non-charge-exchange monopole polarizability exhibits a clear sensitivity to the density dependence of the symmetry energy. These results clarify the isospin structure of the IVGMR and support its use as a complementary probe of isovector nuclear properties.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23211",
  "author_total": 2,
  "authors": [
    {
      "name": "Xavier Roca Maza"
    },
    {
      "name": "Gianluca Colò"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a998dw40a6c8t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23211",
  "fulltext_url": null,
  "id": "a998dw40a6c8t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23211",
  "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-ex"
    ],
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3106|Nuclear physics research studies"
    ]
  ],
  "openalex": "W7222979202",
  "pdf_url": "https://arxiv.org/pdf/2610.23211",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a998dw40a6c8t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2610.23211",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23211"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nucl-ex",
      "subfield": "nuclear"
    }
  ],
  "title": "Isovector Monopole Resonance",
  "title_text": "Isovector Monopole Resonance",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:28Z",
  "url": "https://research.draconitic.com/paper/a998dw40a6c8t",
  "venue": "arXiv",
  "versions": []
}