{
  "annotation_id": "81b9ee35-a7b6-4afd-bee4-a1e3216aeeb5",
  "date_created": "2026-03-02T18:00:04.217000Z",
  "date_modified": "2026-03-02T18:00:04.217000Z",
  "file_hash": "17016289136e05433be4b2fc42f0c610cc8bf2d780db92dce28986e791b3d7be",
  "private": false,
  "record": {
    "abstract": "The Bloch-Horowitz (BH) equation has been successfully applied to calculating\nthe binding energies of the deuteron and 3H/3He systems. For the three-body\nsystems, BH was found to be perturbative for certain choices of the harmonic\noscillator (HO) parameter b. We extend upon this work by applying this\nformalism to the alpha particle and certain five-, six-, and seven-body nuclei\nin the p-shell. Furthermore, we use only the leading order BH term and work in\nthe smallest allowed included-spaces for each few-body system (0hw and 2hw). We\nshow how to calculate A-body matrix elements within this formalism. Stationary\nsolutions are found for all nuclei investigated within this work. The\ncalculated binding energy of the alpha particle differs by ~1 MeV from\nFaddeev-Yakubovsky calculations. However, calculated energies of p-shell nuclei\nare underbound, leaving p-shell nuclei that are susceptible to cluster breakup.\nFurthermore, convergence is suspect when the size of the included-space is\nincreased. We attribute this undesirable behavior to lack of a sufficiently\nbinding mean-field.",
    "arxiv_id": "nucl-th/0412109",
    "authors": [
      "T. C. Luu P. Navratil A. Nogga"
    ],
    "categories": [
      "nucl-th"
    ],
    "title": "Applying the Bloch-Horowitz equation to s- and p-shell nuclei",
    "url": "https://arxiv.org/abs/nucl-th/0412109"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c99f314d-e057-4766-a133-84bf9bebd639",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}