{
  "id": "2105.11091",
  "version": "v1",
  "published": "2021-05-24T04:43:34.000Z",
  "updated": "2021-05-24T04:43:34.000Z",
  "title": "Astrophysical S factor and rate of $^{7}{\\rm Be}(p, γ)^{8}{\\rm B}$ direct capture reaction in a potential model",
  "authors": [
    "E. M. Tursunov",
    "S. A. Turakulov",
    "A. S. Kadyrov",
    "L. D. Blokhintsev"
  ],
  "comment": "16 pages, 5 figures, 2 tables",
  "categories": [
    "nucl-th",
    "astro-ph.SR"
  ],
  "abstract": "The astrophysical $^7{\\rm Be}(p, \\gamma)^8{\\rm B}$ direct capture process is studied in the framework of a two-body single-channel model with potentials of the Gaussian form. A modified potential is constructed to reproduce the new experimental value of the $S$-wave scattering length and the known astrophysical $S$ factor at the Gamow energy, extracted from the solar neutrino flux. The resulting potential is consistent with the theory developed by Baye [Phys. Rev. C {\\bf 62} (2000) 065803] according to which the $S$-wave scattering length and the astrophysical $S$ factor at zero energy divided by the square of ANC are related. The obtained results for the astrophysical $S$ factor at intermediate energies are in good agreement with the two data sets of Hammache {\\it et al.} [Phys. Rev. Lett. {\\bf 86}, 3985 (2001); {\\it ibid.} {\\bf 80}, 928 (1998)]. Linear extrapolation to zero energy yields $ S_{17}(0) \\approx (20.5 \\pm 0.5) \\, \\rm eV \\, b $, consistent with the Solar Fusion II estimate. The calculated reaction rates are substantially lower than the results of the NACRE II collaboration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-24T04:43:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "direct capture reaction",
      "potential model",
      "astrophysical",
      "wave scattering length",
      "zero energy yields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}