{
  "annotation_id": "73693b3d-a980-42e0-b95d-588af46579af",
  "date_created": "2026-03-02T18:00:52.821000Z",
  "date_modified": "2026-03-02T18:00:52.821000Z",
  "file_hash": "260d01038aa046e5592ad24862327e2438e9250d9ae83d13d7425acbc703f3a2",
  "private": false,
  "record": {
    "abstract": "We investigate the resonant motion of neutral spin-1/2-fermions in a magnetic\nguide. A wealth of unitary and anti-unitary symmetries is revealed in\nparticular giving rise to a two-fold degeneracy of the energy levels. To\ncompute the energies and decay widths of a large number of resonances the\ncomplex scaling method is employed. We discuss the dependence of the lifetimes\non the angular momentum of the resonance states. In this context the existence\nof so-called quasi-bound states is shown. In order to approximately calculate\nthe resonance energies of such states a radial Schr\\\"odinger equation is\nderived which improves the well-known adiabatic approximation. The effects of\nan additionally applied homogeneous Ioffe field on the resonance energies and\ndecay widths are also considered. The results are applied to the case of the\n$^6\\text{Li}$ atom in the $F=1/2$ hyperfine ground state.",
    "arxiv_id": "physics/0411079",
    "authors": [
      "Igor Lesanovsky",
      "Peter Schmelcher"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevA.70.063604",
    "journal_ref": "Physical Review A 70, 063604 (2004)",
    "title": "Spectral Properties and Lifetimes of Neutral Spin-1/2-Fermions in a   Magnetic Guide",
    "url": "https://arxiv.org/abs/physics/0411079"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "62e72707-e919-4783-91b0-dbdf73572681",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}