{
  "annotation_id": "6bb2b5a8-41bb-4a2a-94ce-8de880ee0ae9",
  "date_created": "2026-03-02T18:00:08.548000Z",
  "date_modified": "2026-03-02T18:00:08.548000Z",
  "file_hash": "4bcd0ca98c0a3c8f6ae112ef9aeb786f138e6d76def076601aa981ad86a5dc4f",
  "private": false,
  "record": {
    "abstract": "The consistency condition is tested within the particle-particle random-phase\napproximation (RPA), renormalized RPA (RRPA) and the self-consistent RPA\n(SCRPA) making use of the Richardson model of pairing. The two-particle\nseparation energy is calculated in two ways, namely as the energy of the first\naddition mode, which adds two particles to a core with N particles, and as the\nenergy of the first removal mode, which removes two particles from the (N+2) -\nparticle system to get back to the same N-particle core. The corresponding\ntransitions generated by the pairing operators are also calculated. It is found\nthat the results obtained in these two ways of calculations are close to each\nother only at large values of particle number N and/or small interaction\nstrength. At N below 10 for a given value of the interaction strength, the\ndiscrepancy between the results obtained in two ways of calculations within the\nSCRPA is much smaller than those given by the RPA and RRPA.",
    "arxiv_id": "nucl-th/0607043",
    "authors": [
      "Nguyen Dinh Dang"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.74.024318",
    "journal_ref": "Phys.Rev. C74 (2006) 024318",
    "title": "Consistency of particle-particle random-phase approximation and its   renormalizations",
    "url": "https://arxiv.org/abs/nucl-th/0607043"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "47e5d4a4-17a4-4205-ad70-9058b79b898b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}