{
  "id": "nucl-th/0612003",
  "version": "v2",
  "published": "2006-12-02T07:05:58.000Z",
  "updated": "2007-03-13T02:47:02.000Z",
  "title": "Empirical formula for the excitation energies of the first $2^+$ and $3^-$ states in even-even nuclei",
  "authors": [
    "Eunja Ha",
    "Dongwoo Cha"
  ],
  "comment": "9 pages, 4 figures",
  "journal": "J. Korean Phys. Soc. 50 (2007) 1172-1175",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We report empirical findings that a simple formula in terms of the mass number $A$, the valence proton number $N_p$, and the valence neutron number $N_n$ can describe the essential trends of excitation energies $E_x$ of the first $2^+$ and $3^-$ states in even-even nuclei throughout the periodic table. The formula reads as $E_x = \\alpha A^{-\\beta} + \\exp (- \\lambda N_p) + \\exp (- \\lambda N_n)$. The parameter $\\beta$ in the first term is determined by the mass number $A$ dependence of the bottom contour line of the excitation energy systematics. The other two parameters $\\alpha$ and $\\lambda$ are fitted by minimizing the $\\chi^2$ value between the measured and calculated excitation energies. Our results suggest that the single large-$j$ shell simulation can be applied to the excitation energies of the first $2^+$ and $3^-$ states in even-even nuclei.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-03-13T02:47:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "23.20.Lv",
      "21.10.Re"
    ],
    "keywords": [
      "empirical formula",
      "mass number",
      "excitation energy systematics",
      "valence neutron number",
      "valence proton number"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.3938/jkps.50.1172",
      "journal": "Journal of Korean Physical Society",
      "year": 2007,
      "month": "Apr",
      "volume": 50,
      "number": 4,
      "pages": 1172
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 733387,
      "adsabs": "2007JKPS...50.1172H"
    }
  }
}