{
  "id": "2004.13575",
  "version": "v1",
  "published": "2020-04-28T15:03:40.000Z",
  "updated": "2020-04-28T15:03:40.000Z",
  "title": "Ab initio calculations of low-energy nuclear scattering using a generalized Lüscher method",
  "authors": [
    "Xilin Zhang",
    "S. R. Stroberg",
    "P. Navrátil",
    "Chan Gwak",
    "J. A. Melendez",
    "R. J. Furnstahl",
    "J. D. Holt"
  ],
  "comment": "13 pages, 10 figures, and 6 tables, with ancillary files included",
  "categories": [
    "nucl-th",
    "hep-lat"
  ],
  "abstract": "The L\\\"uscher method in Lattice QCD was recently generalized to enable low-energy nuclear scattering results to be extracted from the discrete energy levels of the target-projectile clusters confined by harmonic potential traps. Here we report encouraging results for neutron--$\\alpha$ and neutron--$^{24}\\mathrm{O}$ elastic scattering from analyzing the trapped levels computed using two different ab initio nuclear structure methods. The $n$--$\\alpha$ results have also been checked against a direct ab initio reaction calculation. The $n$--$^{24}\\mathrm{O}$ results demonstrate the approach's applicability for a large range of systems provided their spectra in traps can be computed by ab initio methods. A key ingredient is a rigorous understanding of the errors in the calculated energy levels caused by inevitable Hilbert-space truncations in the ab initio methods.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-28T15:03:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ab initio calculations",
      "generalized lüscher method",
      "ab initio reaction calculation",
      "initio nuclear structure methods",
      "low-energy nuclear scattering results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}