{
  "annotation_id": "8e0de5b5-6078-46cd-948c-37f61b292671",
  "date_created": "2026-03-02T18:00:01.419000Z",
  "date_modified": "2026-03-02T18:00:01.419000Z",
  "file_hash": "1747c3b46f3ab07756009af57560cad4d1d3d01423a7ff13e3842ef0c196eceb",
  "private": false,
  "record": {
    "abstract": "The $0^{+}$ states of $^{12}\\mathrm{C}$ are considered within the framework\nof the microscopic three-$\\alpha$-cluster model. The main attention is paid to\naccurate calculation of the width of the extremely narrow near-threshold\n$0^+_2$ state which plays a key role in stellar nucleosynthesis. It is shown\nthat the $0^{+}_2$-state decays by means of the sequential mechanism\n${^{12}\\mathrm{C}} \\to \\alpha+{^8\\mathrm{Be}} \\to 3\\alpha$. Calculations are\nperformed for a number of effective $\\alpha - \\alpha$ potentials which are\nchosen to reproduce both energy and width of $^8\\mathrm{Be}$. The parameters of\nthe additional three-body potential are chosen to fix both the ground and\nexcited state energies at the experimental values. The dependence of the width\non the parameters of the effective $\\alpha - \\alpha$ potential is studied in\norder to impose restrictions on the potentials.",
    "arxiv_id": "nucl-th/0404016",
    "authors": [
      "S. I. Fedotov",
      "O. I. Kartavtsev",
      "V. I. Kochkin",
      "A. V. Malykh"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.70.014006",
    "journal_ref": "Phys.Rev. C70 (2004) 014006",
    "title": "Three-alpha-cluster structure of the 0^+ states in ^{12}C and the   effective alpha-alpha interactions",
    "url": "https://arxiv.org/abs/nucl-th/0404016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1db4abb0-e5f5-4316-a40e-7c57fe050a8f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}