{
  "id": "1003.3428",
  "version": "v1",
  "published": "2010-03-17T18:47:00.000Z",
  "updated": "2010-03-17T18:47:00.000Z",
  "title": "No-core shell model for A = 47 and A = 49",
  "authors": [
    "A. G. Negoita",
    "J. P. Vary",
    "S. Stoica"
  ],
  "comment": "19 pages, 11 figures, to be published in J. Phys. G",
  "journal": "J. Phys. G: Nucl. Part. Phys. 37 (2010) 055109",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We apply the no-core shell model 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 while preserving all the underlying symmetries. Due to model space limitations and the absence of 3-body interactions, we incorporate phenomenological interaction 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 complicates comparisons with valence effective NN interactions. We focus on purely off-diagonal two-body matrix elements since they are not affected by ambiguities in the different roles for one-body potentials and we compare selected sets of $fp$-shell matrix elements of our initial and modified Hamiltonians in the harmonic oscillator basis with those of a recent model $fp$-shell interaction, the GXPF1 interaction of Honma, Otsuka, Brown and Mizusaki. While some significant differences emerge from these comparisons, there is an overall reasonably good correlation between our off-diagonal matrix elements and those of GXPF1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-17T18:47:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "no-core shell model",
      "hamiltonian produces reasonable spectra",
      "phenomenological interaction terms",
      "purely off-diagonal two-body matrix elements",
      "no-core approach complicates comparisons"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0954-3899/37/5/055109",
      "journal": "Journal of Physics G Nuclear Physics",
      "year": 2010,
      "month": "May",
      "volume": 37,
      "number": 5,
      "pages": "055109"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 849139,
      "adsabs": "2010JPhG...37e5109N"
    }
  }
}