{
  "id": "0805.4073",
  "version": "v4",
  "published": "2008-05-27T08:53:44.000Z",
  "updated": "2009-07-06T06:13:58.000Z",
  "title": "Nuclear deformation and neutrinoless double-$β$ decay of $^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd nuclei in mass mechanism",
  "authors": [
    "K. Chaturvedi",
    "R. Chandra",
    "P. K. Rath",
    "P. K. Raina",
    "J. G. Hirsch"
  ],
  "comment": "15 pages, 1 figure",
  "journal": "Phys. Rev. C 78, 054302 (2008)",
  "doi": "10.1103/PhysRevC.78.054302",
  "categories": [
    "nucl-th"
  ],
  "abstract": "The $(\\beta ^{-}\\beta ^{-})_{0\\nu}$ decay of $^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes for the $0^{+}\\to 0^{+}$ transition is studied in the Projected Hartree-Fock-Bogoliubov framework. In our earlier work, the reliability of HFB intrinsic wave functions participating in the $\\beta ^{-}\\beta ^{-}$ decay of the above mentioned nuclei has been established by obtaining an overall agreement between the theoretically calculated spectroscopic properties, namely yrast spectra, reduced $B(E2$:$0^{+}\\to 2^{+})$ transition probabilities, quadrupole moments $Q(2^{+})$, gyromagnetic factors $g(2^{+})$ as well as half-lives $T_{1/2}^{2\\nu}$ for the $0^{+}\\to 0^{+}$ transition and the available experimental data. In the present work, we study the $(\\beta ^{-}\\beta ^{-})_{0\\nu}$ decay for the $0^{+}\\to 0^{+}$ transition in the mass mechanism and extract limits on effective mass of light as well as heavy neutrinos from the observed half-lives $T_{1/2}^{0\\nu}(0^{+}\\to 0^{+})$ using nuclear transition matrix elements calculated with the same set of wave functions. Further, the effect of deformation on the nuclear transition matrix elements required to study the $(\\beta ^{-}\\beta ^{-})_{0\\nu}$ decay in the mass mechanism is investigated. It is noticed that the deformation effect on nuclear transition matrix elements is of approximately same magnitude in $(\\beta ^{-}\\beta ^{-})_{2\\nu}$ and $(\\beta ^{-}\\beta ^{-})_{0\\nu}$ decay.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2009-07-06T06:13:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "23.40.Bw",
      "23.40.Hc",
      "21.60.Jz",
      "27.60.+j"
    ],
    "keywords": [
      "nuclear transition matrix elements",
      "mass mechanism",
      "nd nuclei",
      "nuclear deformation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review C",
      "year": 2008,
      "month": "Nov",
      "volume": 78,
      "number": 5,
      "pages": "054302"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 786678,
      "adsabs": "2008PhRvC..78e4302C"
    }
  }
}