{
  "annotation_id": "25c785f7-3a4d-4dba-974a-117eeee21212",
  "date_created": "2026-03-02T18:01:03.800000Z",
  "date_modified": "2026-03-02T18:01:03.800000Z",
  "file_hash": "8fa76ad4a544bab53979b77ecf5eb04c783d719cc4730a4bbec926d2e54eb59a",
  "private": false,
  "record": {
    "abstract": "The connections between the Random Phase Approximation (RPA) and Many-Body\nPerturbation Theory (MBPT) and its all order generalisation, the Coupled-\nCluster Theory (CCT) have been explored. Explicit expressions have been derived\nfor the electric dipole amplitudes for allowed and forbidden transitions\ninduced by the parity non-conserving neutral weak interaction. The Goldstone\ndiagrams associated with the RPA terms in both cases are shown to arise in MBPT\nand CCT and the numerical verification of this relationship is made for the\nallowed electric dipole transitions.",
    "arxiv_id": "physics/0511205",
    "authors": [
      "Geetha Gopakumar",
      "Chiranjib Sur",
      "Bhanu Pratap Das",
      "Rajat K. Chaudhuri",
      "D. Mukherjee",
      "Kimihiko Hirao"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "title": "Random Phase Approximation For allowed and Parity Non-conserving   Electric Dipole Transition Amplitudes and its connection with Many-Body   Perturbation Theory and Coupled Cluster Theory",
    "url": "https://arxiv.org/abs/physics/0511205"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cb715a60-3eea-4bae-b49b-d78ff7408d84",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}