{
  "annotation_id": "b7e4880f-354a-41af-b42c-221026d17050",
  "date_created": "2026-03-02T18:00:10.826000Z",
  "date_modified": "2026-03-02T18:00:10.826000Z",
  "file_hash": "32633500f5149eb702d24bf80a4ffd76da502428fec09dfb91e94c56b3755c5a",
  "private": false,
  "record": {
    "abstract": "We calculate at two-loop order in chiral perturbation theory the\nelectromagnetic corrections to the two-pion exchange nucleon-nucleon\ninteraction that is generated by the isovector spin-flip $\\pi\\pi NN$\ncontact-vertex proportional to the large low-energy constant $c_4\\simeq 3.4\n$GeV$^{-1}$. We find that the respective $2\\pi\\gamma$-exchange potentials\ncontain sizeable isospin-breaking components which reach up to -4% of\ncorresponding isovector $2\\pi$-exchange potentials. The typical values of these\nnovel charge-independence breaking spin-spin and tensor potentials are $-0.11\n$MeV and $0.09 $MeV, at a nucleon distance of $r=m_\\pi^{-1}=1.4 $fm. The\ncharge-symmetry breaking spin-spin and tensor potentials come out a factor of\n2.4 smaller. Our analytical results for these presumably dominant\nisospin-violating spin-spin and tensor NN-forces are in a form such that they\ncan be easily implemented into phase-shift analyses and few-body calculations.",
    "arxiv_id": "nucl-th/0610089",
    "authors": [
      "N. Kaiser"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.74.067001",
    "journal_ref": "Phys.Rev. C74 (2006) 067001",
    "title": "Dominant $2\\pi\\gamma$-exchange nucleon-nucleon interaction: Spin-spin   and tensor potentials",
    "url": "https://arxiv.org/abs/nucl-th/0610089"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bec14170-135d-4517-9660-85df5a7d2d90",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}