{
  "annotation_id": "63b70087-4a49-48ee-b7bb-a1b1a5879a4e",
  "date_created": "2026-03-02T17:59:57.652000Z",
  "date_modified": "2026-03-02T17:59:57.652000Z",
  "file_hash": "81f0b609675f635ebacccb49bea0f832a26e65dc697e2528bbaf070736f7f8bf",
  "private": false,
  "record": {
    "abstract": "Modern effective-theory techniques are applied to the nuclear many-body\nproblem. A novel approach is proposed for the renormalization of operators in a\nmanner consistent with the construction of the effective potential. To test\nthis approach, a one-dimensional, yet realistic, nucleon-nucleon potential is\nintroduced. An effective potential is then constructed by tuning its parameters\nto reproduce the exact effective-range expansion and a variety of bare\noperators are renormalized in a fashion compatible with this construction.\nPredictions for the expectation values of these effective operators in the\nground state reproduce the results of the exact theory with remarkable accuracy\n(at the 0.5% level). This represents a marked improvement over a widely\npracticed approach that uses effective interactions but retains bare operators.\nFurther, it is shown that this improvement is more impressive as the operator\nbecomes more sensitive to the short-range structure of the potential. We\nillustrate the main ideas of this work using the elastic form factor of the\ndeuteron as an example.",
    "arxiv_id": "nucl-th/0305007",
    "authors": [
      "N. P. Mehta",
      "C. Felline",
      "J. R. Shepard",
      "J. Piekarewicz"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.68.034003",
    "journal_ref": "Phys.Rev. C68 (2003) 034003",
    "title": "Low-energy operators in effective theories",
    "url": "https://arxiv.org/abs/nucl-th/0305007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "98079a29-f9ef-4170-b917-f69b982ec0b6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}