{
  "annotation_id": "0cfce65c-6330-4c15-a431-3c0f98e3e7ab",
  "date_created": "2026-03-02T18:00:12.076000Z",
  "date_modified": "2026-03-02T18:00:12.076000Z",
  "file_hash": "9a8768751b72cea6e0e1876426c0298f29deeb7a07611ca86ed6358a5957e903",
  "private": false,
  "record": {
    "abstract": "Within the unified model of Bohr and Mottelson we derive the following linear\nenergy weighted sum rule for low energy orbital 1$^+$ excitations in even-even\ndeformed nuclei $$S_{\\rm LE}^{\\rm lew} (M_1^{\\rm orb}) \\cong (6/5) \\epsilon\n(B(E2; 0^+_1 \\rightarrow 2_1^+ K=0)/Z e^2\u003cr^2\u003e^2) \\mu^2_N$$ with B(E2) the E2\nstrength for the transition from the ground state to the first excited state in\nthe ground state rotational band, $\u003cr^2\u003e$ the charge r.m.s. radius squared and\n$\\epsilon$ the binding energy per nucleon in the nuclear ground state. It is\nshown that this energy weighted sum rule is in good agreement with available\nexperimental data. The sum rule is derived using a simple ansatz for the\nintrinsic ground state wave function that predicts also high energy 1$^+$\nstrength at 2$\\hbar \\omega$ carrying 50\\% of the total $m_1$ moment of the\norbital M1 operator.",
    "arxiv_id": "nucl-th/9303011",
    "authors": [
      "E. Moya de Guerra",
      "L. Zamick"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.47.2604",
    "journal_ref": "Phys.Rev.C47:2604-2609,1993",
    "title": "Orbital M1 versus E2 strength in deformed nuclei: A new energy weighted   sum rule",
    "url": "https://arxiv.org/abs/nucl-th/9303011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "267f25ba-cd7a-4f03-9258-b73a2ba9b893",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}