{
  "annotation_id": "364c7c26-e9ea-4c72-9e89-9a3c86710325",
  "date_created": "2026-03-02T18:00:04.613000Z",
  "date_modified": "2026-03-02T18:00:04.613000Z",
  "file_hash": "333bf4c44fb130ea4601889f7f37b1c1395d4c5625ce6ecf4778484eece0f556",
  "private": false,
  "record": {
    "abstract": "Isoscalar (T=0) plus isovector (T=1) pairing hamiltonian in LS-coupling,\nwhich is important for heavy N=Z nuclei, is solvable in terms of a O(8) algebra\nfor some special values of the mixing parameter that measures the competition\nbetween T=0 and T=1 pairing. The O(8) algebra is generated, amongst others, by\nthe $S=1,T=0$ and $S=0,T=1$ pair creation and annihilation operators . Shell\nmodel algebras, with only number conserving operators, that are complementary\nto the $O(8) \\supset O_{ST}(6) \\supset O_S(3) \\otimes O_T(3)$, $O(8) \\supset [\nO_S(5) \\supset O_S(3) ] \\otimes O_T(3)$ and $O(8) \\supset [ O_T(5) \\supset\nO_T(3)] \\otimes O_S(3)$ sub-algebras are identified. The problem of\nclassification of states for a given number of nucleons (called `plethysm\u0027\nproblem in group theory), for these group chains is solved explicitly for\nstates with O(8) seniority $v=0, 1, 2, 3$ and 4. Using them, band structures in\nisospin space are identified for states with $v=0, 1, 2$ and 3.",
    "arxiv_id": "nucl-th/0503010",
    "authors": [
      "V. K. B. Kota",
      "Castilho Alcaras"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1016/j.nuclphysa.2005.09.011",
    "journal_ref": "Nucl.Phys. A764 (2006) 181-204",
    "title": "Classification of States in O(8) Proton-Neutron Pairing Model",
    "url": "https://arxiv.org/abs/nucl-th/0503010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "af215675-4527-456e-aea5-c3cac723bb13",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}