{
  "annotation_id": "e810ef86-3523-47ac-81cd-5eae204b2413",
  "date_created": "2026-03-02T18:00:22.305000Z",
  "date_modified": "2026-03-02T18:00:22.305000Z",
  "file_hash": "a7e1a9daea956d9a4d220a19151bf8e2c9be4c42379e4266c33305f9e964d9b2",
  "private": false,
  "record": {
    "abstract": "We show the necessity of two-nucleon axial currents and associated pion\nemission/ absorption operators for the partial conservation of the axial\ncurrent (PCAC) nuclear matrix elements with arbitrary nuclear dynamics\ndescribed by a nonrelativistic Schroedinger equation. As examples we construct\nsuch nonrelativistic axial two-body currents in the linear- and heterotic (g_A\n= 1.26) sigma models, with an optional isoscalar vector (omega) meson exchange.\nThe nuclear matrix elements obey PCAC only if the nuclear wave functions used\nin the calculation are solutions to the Schroedinger equation with the static\none-meson-exchange potential constructed in the respective (sigma) model. The\nsame holds true for the nucler pion production amplitude, since it is\nproportional to the divergence of the axial current matrix element, by virtue\nof PCAC. Thus we found a new consistency condition between the pion\ncreation/absorption operator and the nuclear Hamiltonian. We present examples\ndrawn from our models and discuss implications for one-pion-two-nucleon\nprocesses.",
    "arxiv_id": "nucl-th/9806103",
    "authors": [
      "V. Dmitrasinovic",
      "T. Sato"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.58.1937",
    "journal_ref": "Phys.Rev.C58:1937-1947,1998",
    "title": "Partially conserved axial current constraints on pion   production/absorption within nonrelativistic dynamics",
    "url": "https://arxiv.org/abs/nucl-th/9806103"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5c4baf36-7dff-4e5f-95ff-ede59fe9b5b1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}