{
  "annotation_id": "ab9a4527-115b-454d-96c4-2f89d9d16102",
  "date_created": "2026-03-02T18:00:25.760000Z",
  "date_modified": "2026-03-02T18:00:25.760000Z",
  "file_hash": "da8d312b9abb7de6e4e7eed8d54d846c8d777da1a46e7796e3fa32702de8a619",
  "private": false,
  "record": {
    "abstract": "The shell model is the standard tool for addressing the canonical nuclear\nmany-body problem of nonrelativistic nucleons interacting through a static\npotential. We discuss several of the uncontrolled approximations that are made\nin this model to motivate a different approach, one based on an exact solution\nof the Bloch-Horowitz equation. We argue that the necessary self-consistent\nsolutions of this equation can be obtained efficiently by a Green\u0027s function\nexpansion based on the Lanczos algorithm. The resulting effective theory is\ncarried out for the simplest nuclei, d and 3He, using realistic NN interactions\nsuch as the Argonne v18 and Reid93 potentials, in order to contrast the results\nwith the shell model. We discuss the wave function normalization, the evolution\nof the wave function as the \"shell model\" space is varied, and the magnetic\nelastic effective operator. The numerical results show a simple renormalization\ngroup behavior that differs from effective field theory treatments of the two-\nand three-body problems. The likely origin of this scaling is discussed.",
    "arxiv_id": "nucl-th/9906082",
    "authors": [
      "W. C. Haxton",
      "C. -L. Song"
    ],
    "categories": [
      "nucl-th",
      "hep-ph"
    ],
    "title": "The Canonical Nuclear Many-Body Problem as a Rigorous Effective Theory",
    "url": "https://arxiv.org/abs/nucl-th/9906082"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "86220cbc-a338-4389-aed4-f9492c059dd0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}