{
  "annotation_id": "0955c9a1-ed0f-4014-beae-34cea1c0494d",
  "date_created": "2026-03-02T18:00:03.924000Z",
  "date_modified": "2026-03-02T18:00:03.924000Z",
  "file_hash": "b0ac0b34130fe7631e098f582fc98f47f58162966533f4a53e9224f6a82114ce",
  "private": false,
  "record": {
    "abstract": "The energy spectrum of the $^{12}C$ nucleus with $(J^{\\pi}, T)=(0^+,0)$ and\n$(2^+,0)$ is investigated in the framework of the multicluster dynamical model\nby using a deep $\\alpha \\alpha$-potential with forbidden states in the S and D\nwaves. A very high sensitivity of the compact ground and first excited $2^+_1$\nstates energy levels to the description of the two-body forbidden states wave\nfunctions has been estabilished. It is shown also that the chosen method of\northogonalizing pseudopotentials yields convergent results for the energies of\nthe excited $(0^+_2,0)$ and $(0^+_3,0)$ states of the $^{12}C$ nucleus with a\nwell developed cluster like structure.",
    "arxiv_id": "nucl-th/0501057",
    "authors": [
      "E. M. Tursunov"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1088/0954-3899/27/7/301",
    "journal_ref": "J.Phys.G27:1381-1389,2001",
    "title": "Variational Calculations of the $^{12}C$ Nucleus Structure in a   3$\\alpha$ Model Using a Deep Potential with Forbidden States",
    "url": "https://arxiv.org/abs/nucl-th/0501057"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "de8c7ab5-5abf-41b7-bbd8-e6fec2b8bd61",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}