{
  "annotation_id": "cd910096-a98d-466a-986c-1845d8824fc7",
  "date_created": "2026-03-02T18:00:25.663000Z",
  "date_modified": "2026-03-02T18:00:25.663000Z",
  "file_hash": "b9d82cd0681d8e37e741cca4996e08dae658b6ce030a429fa171547f51cef03e",
  "private": false,
  "record": {
    "abstract": "The 3S1-3D1 mixing angle for nucleon-nucleon scattering, epsilon_1, is\ncalculated to next-to-next-to-leading order in an effective field theory with\nperturbative pions. Without pions, the low energy theory fits the observed\nepsilon_1 well for momenta less than $\\sim 50$ MeV. Including pions\nperturbatively significantly improves the agreement with data for momenta up to\n$\\sim 150$ MeV with one less parameter. Furthermore, for these momenta the\naccuracy of our calculation is similar to an effective field theory calculation\nin which the pion is treated non-perturbatively. This gives phenomenological\nsupport for a perturbative treatment of pions in low energy two-nucleon\nprocesses. We explain why it is necessary to perform spin and isospin traces in\nd dimensions when regulating divergences with dimensional regularization in\nhigher partial wave amplitudes.",
    "arxiv_id": "nucl-th/9906056",
    "authors": [
      "Sean Fleming",
      "Thomas Mehen",
      "Iain W. Stewart"
    ],
    "categories": [
      "nucl-th",
      "hep-ph"
    ],
    "doi": "10.1103/PhysRevC.61.044005",
    "journal_ref": "Phys.Rev. C61 (2000) 044005",
    "title": "The NN scattering 3S1-3D1 mixing angle at NNLO",
    "url": "https://arxiv.org/abs/nucl-th/9906056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c46069bc-c68c-41d1-b5c5-a40148f45ae0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}