{
  "annotation_id": "e02846de-6c0e-47eb-89e6-6f9174e16678",
  "date_created": "2026-03-02T18:00:04.862000Z",
  "date_modified": "2026-03-02T18:00:04.862000Z",
  "file_hash": "cbca4d6e478976cc0ee4c4a1a84e66c5203d9709c68b4cd4a85ef3cdf4b452de",
  "private": false,
  "record": {
    "abstract": "In the single j-shell, the configuration of an even-even Ti isotope consists\nof 2 protons and n neutrons. The I=0 wave function can be written in terms of\nD(J,Jv)\u0027s, which are the probability amplitudes for the 2 protons to couple to\nJ and the n neutrons to couple to Jv (where J stands for the angular momentum\nand v for the seniority quantum number). There are several states with isospin\nTmin=|(N-Z)/2|, but only one with Tmax=Tmin+2. By demanding that the Tmax wave\nfunction be orthogonal to the Tmin ones, we obtain the following simple\nexpressions for the number of J=0 np pairs in these Ti isotopes:\n  For T=Tmin, number of pairs(J12=0)=2|D(00)|^2/n For T=Tmax, number of\npairs(J12=0)=2n|D(00)|^2=2n(2j+1-n)/(2j+1)(n+1)\n  For 44Ti we have also the results for even J12: number of nn pairs=number of\npp pairs=number of np pairs=|D(J12,J12)|^2.",
    "arxiv_id": "nucl-th/0501063",
    "authors": [
      "L. Zamick",
      "A. Escuderos",
      "A. Mekjian"
    ],
    "categories": [
      "nucl-th"
    ],
    "title": "The number of J=0 pairs in {44,46,48}Ti",
    "url": "https://arxiv.org/abs/nucl-th/0501063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "103f5868-b585-4efa-a0ff-0a9b8a397876",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}