{
  "abstract": "The structure of the ground $(2^+)$ and excited $(1^+)$ bound states of the $^8$B and $^8$Li nuclei is studied within the framework of the $α+^3$He($^3$H)+$p(n)$ three-body potential cluster model based on the hyperspherical Lagrange-mesh method. The two-body realistic potentials have been applied from the literature. Convergent theoretical estimates for the three-body binding energy and matter radius have been obtained with the maximal hypermomentum $K_{max}=22$ and 28 for the ground and excited $1^+$ states, respectively. The ANC value of the virtual transition of the $^8$B nucleus is estimated self-consistently by matching the overlap integral of the $^8$B three-body and the $^7$Be two-body wave functions with it's asymptotics. The obtained values are $0.211$~fm$^{-1/2}$ and $0.739$~fm$^{-1/2}$ in the spin 1 and spin 2 channels, respectively. For the ANC values of the $^8$Li nucleus the estimates $0.220$~fm$^{-1/2}$ and $0.774$~fm$^{-1/2}$ are extracted. The ratio $C^2(^8 {\\rm B})/C^2(^8 {\\rm Li})=0.912$ implies a breaking of the mirror symmetry of the strong nuclear forces of order 27\\% due to the Coulomb interaction and the dynamical three-body effects. For the $S_{17}(0)$ -factor an estimate $22.492\\pm0.014$ eV b was obtained based on the asymptotic theory developed by D. Baye [Phys. Rev. C {\\bf 62},065803 (2000)]. The spin 2 channel contributes with $S^{(2)}_{17}(0)=20.838 \\pm 0.014$ eV b, while the spin 1 channel yields $S^{(1)}_{17}(0)=1.654 \\pm 0.003$ eV b. These results for $S_{17}(0)$ are in a good agreement with the estimate $20.8\\pm0.7{\\rm(th)}\\pm1.4{\\rm(exp)}$ eV b of the SF II, but larger than the recommended value $20.5\\pm0.70$ eV b of the SF III. At the same time, our estimate is very close to the value 22.4 eV b used in the most successful Solar Model BAR2M [W.~Yang and Z.~Tian, AJ {\\bf 970} (2024), 38].",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.02826",
  "author_total": 3,
  "authors": [
    {
      "name": "E. M. Tursunov"
    },
    {
      "name": "D. S. Toshova"
    },
    {
      "name": "S. A. Turakulov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fceefnj4a98z6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.02826",
  "fulltext_url": null,
  "id": "fceefnj4a98z6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.02826",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "astro-ph.SR"
    ],
    [
      "arxiv",
      "nucl-ex"
    ],
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3106|Nuclear physics research studies"
    ]
  ],
  "openalex": "W7160233846",
  "pdf_url": "https://arxiv.org/pdf/2605.02826",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fceefnj4a98z6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2605.02826",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.02826"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.SR",
      "subfield": "stellar"
    },
    {
      "field": "physics",
      "origin": "arxiv:nucl-ex",
      "subfield": "nuclear"
    }
  ],
  "title": "Structure of the $^8$B and $^8$Li nuclei and the astrophysical $S_{17}(0)$-factor of the $^7$Be($p,γ$)$^8$B direct capture process within a three-body model",
  "title_text": "Structure of the ^8B and ^8Li nuclei and the astrophysical S_17(0)-factor of the ^7Be(p,γ)^8B direct capture process within a three-body model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:41Z",
  "url": "https://research.draconitic.com/paper/fceefnj4a98z6",
  "venue": "arXiv",
  "versions": []
}