{
  "annotation_id": "791a3f39-11a8-419e-a1a8-d5572b21d4af",
  "date_created": "2026-03-02T18:00:01.480000Z",
  "date_modified": "2026-03-02T18:00:01.480000Z",
  "file_hash": "d5fbe8826b15aec70f91605c895a2106c43d0adcad2e96156336fa5fde386e4e",
  "private": false,
  "record": {
    "abstract": "It is noted that the simple interaction in isospin variables $a (1/4 -\nt(i)\\cdot t(j))$, in a single $j$ shell calculation, can also be written with\nangular momentum variables. For the configuration $(j^2) J_A$ for even $J_A$\nthe isospin is one; for odd $J_A$ it is zero. Hence the above interaction can\nalso be written as $a (1 - (-1)^{J_A})/2$. For the I=0 state of an even-even Ti\nisotope with $n$ neutrons, the hamiltonian matrix element of this interaction\nis $\\bra [J\u0027J\u0027]_0 |H| [JJ]_0\\ket/a = (n+1) \\delta_{JJ\u0027}\n  - (n+1) (j^n Jj|\\} j^{n+1} j)\n  (j^n J\u0027j|\\} j^{n+1} j)$. The eigenvalues of this interaction can be found by\nusing the isospin form of the interaction. They are $(n+1)a$ for $T = |N-Z|/2$\nand zero for $T = |N-Z|/2 + 2$. One can apply this to some extent to obtain the\nnumber of pairs of nucleons with given total angular momentum $J_A$ in a given\nTi isotope.",
    "arxiv_id": "nucl-th/0402089",
    "authors": [
      "L. Zamick",
      "A. Z. Mekjian",
      "S. J. Lee"
    ],
    "categories": [
      "nucl-th"
    ],
    "journal_ref": "J.Korean Phys.Soc. 47 (2005) 18-22",
    "title": "Interrelationship of Isospin and Angular Momentum",
    "url": "https://arxiv.org/abs/nucl-th/0402089"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3ec9b942-88dc-434f-8819-a27c8294817b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}