{
  "annotation_id": "8f4e0317-638c-4693-b60b-af808757769d",
  "date_created": "2026-03-02T18:00:50.448000Z",
  "date_modified": "2026-03-02T18:00:50.448000Z",
  "file_hash": "963680f9d5b5e2ed74672cd5d63b96f3b0d37fbd526d2dab23509e0e7237be19",
  "private": false,
  "record": {
    "abstract": "Atom-atom scattering of bosonic one-dimensional (1D) atoms has been modeled\nsuccessfully using a zero-range delta-function potential, while that of bosonic\n3D atoms has been modeled successfully using Fermi-Huang\u0027s regularized s-wave\npseudo-potential. Here, we derive the eigenenergies of two spin-polarized 1D\nfermions under external harmonic confinement interacting through a zero-range\npotential, which only acts on odd-parity wave functions, analytically. We also\npresent a divergent-free zero-range potential treatment of two spin-polarized\n3D fermions under harmonic confinement. Our pseudo-potential treatments are\nverified through numerical calculations for short-range model potentials.",
    "arxiv_id": "physics/0406022",
    "authors": [
      "K. Kanjilal",
      "D. Blume"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevA.70.042709",
    "title": "Non-divergent pseudo-potential treatment of spin-polarized fermions   under 1D and 3D harmonic confinement",
    "url": "https://arxiv.org/abs/physics/0406022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "45afd904-89e3-4ce4-98d9-6ec4ce1ab156",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}