{
  "id": "nucl-th/0612022",
  "version": "v1",
  "published": "2006-12-05T22:32:59.000Z",
  "updated": "2006-12-05T22:32:59.000Z",
  "title": "No-Core shell model for A = 47 and A = 49",
  "authors": [
    "J. P. Vary",
    "A. G. Negoita",
    "S. Stoica"
  ],
  "comment": "17 pages including 14 figures",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We apply an {\\it ab-initio} approach to the nuclear structure of odd-mass nuclei straddling $^{48}Ca$. Starting with the NN interaction, that fits two-body scattering and bound state data we evaluate the nuclear properties of $A = 47$ and $A = 49$ nuclei in a no-core approach. Due to model space limitations and the absence of 3-body interactions, we incorporate phenomenological terms determined by fits to $A = 48$ nuclei in a previous effort. Our modified Hamiltonian produces reasonable spectra for these odd mass nuclei. In addition to the differences in single-particle basis states, the absence of a single-particle Hamiltonian in our no-core approach obscures direct comparisons with valence effective NN interactions. Nevertheless, we compare the fp-shell matrix elements of our initial and modified Hamiltonians in the harmonic oscillator basis with a recent model fp-shell interaction, the GXPF1 interaction of Honma, Otsuka, Brown and Mizusaki. Notable differences emerge from these comparisons. In particular, our diagonal two-body $T = 0$ matrix elements are, on average, about 800-900keV more attractive. Furthermore, while our initial and modified NN Hamiltonian fp-shell matrix elements are strongly correlated, there is much less correlation with the GXPF1 matrix elements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-05T22:32:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "no-core shell model",
      "hamiltonian produces reasonable spectra",
      "no-core approach obscures direct comparisons",
      "interaction",
      "nn hamiltonian fp-shell matrix elements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 733653,
      "adsabs": "2006nucl.th..12022V"
    }
  }
}