{
  "annotation_id": "255c404e-947d-43ca-a84b-712e10513a85",
  "date_created": "2026-03-02T18:00:04.574000Z",
  "date_modified": "2026-03-02T18:00:04.574000Z",
  "file_hash": "a327b799a7dafcc24c01e9819ad033545e3dc9ac4f0f8d1e98e41e04a33e2a56",
  "private": false,
  "record": {
    "abstract": "We count the number of pairs in the single j-shell model of {44}Ti for\nvarious interactions. For a state of total angular momentum I, the wave\nfunction can be written in terms of the probability amplitude D(Jp Jn) that the\nprotons couple to Jp and the neutrons to Jn. For I=0 there are three states\nwith (I=0,T=0) and one with (I=0,T=2). The latter is the double analog of\n{44}Ca. In that case (T=2), the magnitude of D(JJ) is the same as that of a\ncorresponding two-particle fractional parentage coefficient. In counting the\nnumber of pairs with an even angular momentum J, we find a new relationship\nobtained by diagonalizing a unitary nine-j symbol. We are also able to get\nresults for the `no-interaction\u0027 case for T=0 states, for which it is found,\ne.g., that there are less (J=1,T=0) pairs than on the average. Relative to this\n`no-interaction case\u0027, we find for the most realistic interaction used that\nthere is an enhancement of pairs with angular momentum J=0,2,1 and 7, and a\ndepletion for the others. Also considered are interactions in which only the\n(J=0,T=1) pair state is at lower energy, only the (J=1,T=0) pair state is\nlowered and where both are equally lowered, as well as the QQ interaction. We\nare also able to obtain simplified formulae for the number of J=0 pairs for the\nI=0 states in {46}Ti and {48}Ti by noting that the unique state with isospin\n|Tz|+2 is orthogonal to all the states with isospin |Tz|.",
    "arxiv_id": "nucl-th/0501069",
    "authors": [
      "L. Zamick",
      "A. Escuderos",
      "S. J. Lee",
      "A. Z. Mekjian",
      "E. Moya de Guerra",
      "A. A. Raduta",
      "P. Sarriguren"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.71.034317",
    "journal_ref": "Phys.Rev. C71 (2005) 034317",
    "title": "Expressions for the number of J=0 pairs in even-even Ti isotopes",
    "url": "https://arxiv.org/abs/nucl-th/0501069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "897c1a7b-b6c7-44a6-9a9a-56f9cec7c8ba",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}