{
  "abstract": "Reaction cross sections $σ_{\\rm R}$ are widely used to infer matter radii, yet their sensitivity to nuclear structure beyond radial one-body distributions is less well understood. We combine complete $A$-body nucleon configurations sampled from \\textit{ab initio} nuclear lattice effective field theory (NLEFT) with event-by-event Monte Carlo Glauber calculations, thereby retaining the many-body correlations encoded in NLEFT. Using a fixed binary-collision prescription determined by the measured energy- and isospin-dependent total nucleon-nucleon cross sections, the calculations capture the overall magnitudes and energy dependence simultaneously for the available data on $^{12}$C and $^{9}$Be projectiles on carbon and hydrogen. Controlled randomization of angular correlations at fixed matter root-mean-square radius and spherically averaged one-body radial density produces only a weak change in $σ_{\\rm R}$ for $^{12}$C but approximately a $10\\%$ increase for $^{9}\\mathrm{Be}+{}^{1}\\mathrm{H}$. The calculations also capture the measured rise--plateau--sharp-rise--reduction trend across $^{7,9\\text{--}12}$Be, a distinctive pattern reflecting the evolution of cluster and halo structures along the isotopic chain. These results show that $σ_{\\rm R}$ retains sensitivity to intrinsic many-body geometry beyond a single inferred matter radius, opening a route to studies of exotic $α$-cluster geometries and spatial nucleon correlations through reaction cross sections.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.18538",
  "author_total": 4,
  "authors": [
    {
      "name": "Tianyu Wu"
    },
    {
      "name": "Baohua Sun"
    },
    {
      "name": "Ulf-G. Meißner"
    },
    {
      "name": "Shihang Shen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0ar6mgbynqx1e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.18538",
  "fulltext_url": null,
  "id": "0ar6mgbynqx1e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.18538",
  "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": "W7203918211",
  "pdf_url": "https://arxiv.org/pdf/2608.18538",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0ar6mgbynqx1e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:52Z",
      "native_id": "2608.18538",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.18538"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Reaction Cross Sections and $α$-Cluster Geometry in $^{12}$C and Be Isotopes",
  "title_text": "Reaction Cross Sections and α-Cluster Geometry in ^12C and Be Isotopes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:52Z",
  "url": "https://research.draconitic.com/paper/0ar6mgbynqx1e",
  "venue": "arXiv",
  "versions": []
}