{
  "annotation_id": "a5cd592a-fd43-487e-ac15-7e1cc91f59b9",
  "date_created": "2026-03-02T18:00:11.599000Z",
  "date_modified": "2026-03-02T18:00:11.599000Z",
  "file_hash": "022301380db8ca15ff7ffe5aeb1c97dcf6987cb09246bf0146d94fb774d8c0ec",
  "private": false,
  "record": {
    "abstract": "The exact solution of proton-neutron isoscalar-isovector (T=0,1) pairing\nHamiltonian with non-degenerate single-particle orbits and equal pairing\nstrengths (g_{T=1}= g_{T=0}) is presented for the first time. The Hamiltonian\nis a particular case of a family of integrable SO(8) Richardson-Gaudin (RG)\nmodels. The exact solution of the T=0,1 pairing Hamiltonian is reduced to a\nproblem of 4 sets of coupled non linear equations that determine the spectral\nparameters of the complete set of eigenstates. The microscopic structure of\nindividual eigenstates is analyzed in terms of evolution of the spectral\nparameters in the complex plane for system of A=80 nucleons. The spectroscopic\ntrends of the exact solutions are discussed in terms of generalized rotations\nin isospace.",
    "arxiv_id": "nucl-th/0703061",
    "authors": [
      "S. Lerma H.",
      "B. Errea",
      "J. Dukelsky",
      "W. Satula"
    ],
    "categories": [
      "nucl-th",
      "cond-mat.supr-con",
      "nlin.SI"
    ],
    "doi": "10.1103/PhysRevLett.99.032501",
    "journal_ref": "Phys. Rev. Lett. 99, 032501 (2007)",
    "title": "Exact solution of the spin-isospin proton-neutron pairing Hamiltonian",
    "url": "https://arxiv.org/abs/nucl-th/0703061"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "57df2607-4e58-4b11-92b6-dfd000f0960e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}