{
  "id": "2108.02386",
  "version": "v1",
  "published": "2021-08-05T05:36:12.000Z",
  "updated": "2021-08-05T05:36:12.000Z",
  "title": "Elastic $α$-$^{12}$C scattering at low energies with the resonant $2_2^+$ and $2_3^+$ states of $^{16}$O",
  "authors": [
    "Shung-Ichi Ando"
  ],
  "comment": "17 pages, 5 figures",
  "categories": [
    "nucl-th",
    "nucl-ex"
  ],
  "abstract": "The elastic $\\alpha$-$^{12}$C scattering for $l=2$ at low energies is studied in effective Lagrangian approach. We explicitly include two resonant $2_2^+$ and $2_3^+$ states of $^{16}$O in the scattering amplitude and fit the parameters to the phase shift data. We also study three contributions from higher order, the resonant $2_1^+$ state of $^{12}$C, the resonant $2_4^+$ state of $^{16}$O, and a vertex correction of the initial and final state interactions of the amplitude for the $2_3^+$ state of $^{16}$O, by imposing three conditions at the very low energies where the phase shift data are not available, and calculate the asymptotic normalization coefficient (ANC) for the sub-threshold $2_1^+$ state of $^{16}$O. We find that the previously reported small and large values of the ANC can be reproduced depending on the imposed conditions, but we obtain a large error bar to the large ANC value reported from the $\\alpha$ transfer reactions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-05T05:36:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "low energies",
      "phase shift data",
      "scattering",
      "final state interactions",
      "asymptotic normalization coefficient"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}