{
  "annotation_id": "64528340-12cf-49d2-9fc2-7a00fb47a32e",
  "date_created": "2026-03-02T18:00:01.031000Z",
  "date_modified": "2026-03-02T18:00:01.031000Z",
  "file_hash": "278f563735775b8e4c3a1c0711959a915dc759406d723203102fa82725c6ed37",
  "private": false,
  "record": {
    "abstract": "We derive expressions for cluster overlap integrals or channel cluster form\nfactors for ab initio no-core shell model (NCSM) wave functions. These are used\nto obtain the spectroscopic factors and can serve as a starting point for the\ndescription of low-energy nuclear reactions. We consider the composite system\nand the target nucleus to be described in the Slater determinant (SD) harmonic\noscillator (HO) basis while the projectile eigenstate to be expanded in the\nJacobi coordinate HO basis. This is the most practical case. The spurious\ncenter of mass components present in the SD bases are removed exactly. The\ncalculated cluster overlap integrals are translationally invariant. As an\nillustration, we present results of cluster form factor calculations for\n\u003c5He|4He+n\u003e, \u003c5He|3H+d\u003e, \u003c6Li|4He+d\u003e, \u003c6Be|3He+3He\u003e, \u003c7Li|4He+3H\u003e, \u003c7Li|6Li+n\u003e,\n\u003c8Be|6Li+d\u003e, \u003c8Be|7Li+p\u003e, \u003c9Li|8Li+n\u003e and \u003c13C|12C+n\u003e, with all the nuclei\ndescribed by multi-hbar Omega NCSM wave functions.",
    "arxiv_id": "nucl-th/0410052",
    "authors": [
      "Petr Navratil"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.70.054324",
    "journal_ref": "Phys.Rev. C70 (2004) 054324",
    "title": "Cluster form factor calculation in the ab initio no-core shell model",
    "url": "https://arxiv.org/abs/nucl-th/0410052"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "134c1b84-cb78-4d08-ae66-cfa8d2477191",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}