{
  "id": "1904.04418",
  "version": "v1",
  "published": "2019-04-09T01:58:31.000Z",
  "updated": "2019-04-09T01:58:31.000Z",
  "title": "Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by similarity renormalization group",
  "authors": [
    "Yixin Guo",
    "Haozhao Liang"
  ],
  "comment": "10 pages, 3 figures, and 8 tables",
  "categories": [
    "nucl-th",
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "By following the conventional similarity renormalization group (SRG) expansion of the Dirac equation developed in [J.-Y. Guo, Phys. Rev. C \\textbf{85}, 021302 (2012)], we work out the analytic expression of the ${1}/{M^4}$ order and verify the convergence of this method. As a step further, the reconstituted SRG method is proposed by using the re-summation technique. The speed of convergence of the reconstituted SRG becomes much faster than the conventional one, and the single-particle densities with the reconstituted SRG are also almost identical to the exact values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-09T01:58:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirac equation",
      "vector potentials",
      "non-relativistic expansion",
      "spherical scalar",
      "reconstituted srg"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}