{
  "annotation_id": "78cec2b1-fce0-49b8-bc7a-3e5a8879ffac",
  "date_created": "2026-03-02T18:00:01.418000Z",
  "date_modified": "2026-03-02T18:00:01.418000Z",
  "file_hash": "b72f6a255dd3400347c91664acab6d4b1ca0e2f972be8ea0ae62ffac7f650ba2",
  "private": false,
  "record": {
    "abstract": "The three-body energy-dependent effective interaction given by the\nBloch-Horowitz (BH) equation is evaluated for various shell-model oscillator\nspaces. The results are applied to the test case of the three-body problem\n(triton and He3), where it is shown that the interaction reproduces the exact\nbinding energy, regardless of the parameterization (number of oscillator quanta\nor value of the oscillator parameter b) of the low-energy included space. We\ndemonstrate a non-perturbative technique for summing the excluded-space\nthree-body ladder diagrams, but also show that accurate results can be obtained\nperturbatively by iterating the two-body ladders. We examine the evolution of\nthe effective two-body and induced three-body terms as b and the size of the\nincluded space Lambda are varied, including the case of a single included\nshell, Lambda hw=0 hw. For typical ranges of b, the induced effective\nthree-body interaction, essential for giving the exact three-body binding, is\nfound to contribute ~10% to the binding energy.",
    "arxiv_id": "nucl-th/0404028",
    "authors": [
      "T. C. Luu",
      "S. Bogner",
      "W. C. Haxton",
      "P. Navratil"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.70.014316",
    "journal_ref": "Phys.Rev. C70 (2004) 014316",
    "title": "Effective Interactions for the Three-Body Problem",
    "url": "https://arxiv.org/abs/nucl-th/0404028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9fceb52e-c896-4942-8efa-625bdbb9d967",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}