{
  "id": "1907.04560",
  "version": "v1",
  "published": "2019-07-10T08:06:52.000Z",
  "updated": "2019-07-10T08:06:52.000Z",
  "title": "Allowed $β$-decay spectrum with numerical electron wave functions",
  "authors": [
    "Dong-Liang Fang"
  ],
  "comment": "10 pages, 4 figures, comments and suggestions are welcome",
  "categories": [
    "nucl-th",
    "hep-ph"
  ],
  "abstract": "Using numerical electron wave functions and state-of-the-art nuclear many-body methods, I evaluate the $\\beta$-decay spectra for typical decay channels of spherical nuclei. I check errors brought by various approximations used for deriving the analytical shape factors (the so-called Fermi Function) of allowed decay. I estimate the errors brought by different electric charge distributions and give a way of estimation of $\\beta$-spectra with available decay data of specific nuclei. I found that the traditional ways of approximating the electron wave functions by Fermi Function could be a very severe source of error for spectra simulation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-10T08:06:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "numerical electron wave functions",
      "decay spectrum",
      "state-of-the-art nuclear many-body methods",
      "fermi function",
      "check errors brought"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}