{
  "annotation_id": "c0b30305-8e03-445d-b403-f0539f1a00c8",
  "date_created": "2026-03-02T18:00:22.304000Z",
  "date_modified": "2026-03-02T18:00:22.304000Z",
  "file_hash": "3ff8ccfc1031a9a7a0cec08bb60150270d1e1a99d28c00a60e962a26f7e079fb",
  "private": false,
  "record": {
    "abstract": "We generalize the sum rules for the nucleon electric plus magnetic\npolarizability $\\Sigma=\\alpha+\\beta$ and for the nucleon spin-polarizability\n$\\gamma$, to virtual photons with $Q^2\u003e0$. The dominant low energy cross\nsections are represented in our calculation by one-pion-loop graphs of\nrelativistic baryon chiral perturbation theory and the $\\Delta(1232)$-resonance\nexcitation. For the proton we find good agreement of the calculated\n$\\Sigma_p(Q^2)$ with empirical values obtained from integrating up\nelectroproduction data for $Q^2\u003c0.4 GeV^2$. The proton spin-polarizability\n$\\gamma_p(Q^2)$ switches sign around $Q^2= 0.4 GeV^2$ and it joins smoothly the\n\"partonic\" curve, extracted from polarized deep-inelastic scattering, around\n$Q^2=0.7 GeV^2$. For the neutron our predictions of $\\Sigma_n(Q^2)$ and\n$\\gamma_n(Q^2)$ agree reasonably well at $Q^2=0$ with existing determinations.\nUpcoming (polarized) electroproduction experiments will be able to test the\ngeneralized polarizability sum rules investigated here.",
    "arxiv_id": "nucl-th/9806096",
    "authors": [
      "J. Edelmann",
      "N. Kaiser",
      "G. Piller",
      "W. Weise"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1016/S0375-9474(98)00467-9",
    "journal_ref": "Nucl.Phys. A641 (1998) 119-130",
    "title": "Nucleon Polarizibilities for Virtual Photons",
    "url": "https://arxiv.org/abs/nucl-th/9806096"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cc0fd659-fa9a-470b-9d10-b658c27e7be5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}