{
  "annotation_id": "f7284ad8-bf04-4f59-a192-2437b28e6e3a",
  "date_created": "2026-03-02T18:00:04.393000Z",
  "date_modified": "2026-03-02T18:00:04.393000Z",
  "file_hash": "add909245d5a3512b0caad3484bebfe8d5f75be86d8b171440859f6d4918f7a8",
  "private": false,
  "record": {
    "abstract": "An important input into reaction theory is the density of states or the level\ndensity. Spectral distribution theory (also known as nuclear statistical\nspectroscopy) characterizes the secular behavior of the density of states\nthrough moments of the Hamiltonian. One particular approach is to partition the\nmodel space into subspaces and find the moments in those subspaces; a\nconvenient choice of subspaces are spherical shell-model configurations. We\nrevisit these configuration moments and find, for complete $0\\hbar\\omega$\nmany-body spaces, the following behaviors: (a) the configuration width is\nnearly constant for all configurations; (b) the configuration asymmetry or\nthird moment is strongly correlated with the configuration centroid; (c) the\nconfiguration fourth moment, or excess is linearly related to the square to the\nconfiguration asymmetry. Such universal behavior may allow for more efficient\nmodeling of the density of states in a shell-model framework.",
    "arxiv_id": "nucl-th/0508040",
    "authors": [
      "Edgar Teran",
      "Calvin W. Johnson"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.73.024303",
    "journal_ref": "Phys.Rev. C73 (2006) 024303",
    "title": "Behavior of shell-model configuration moments",
    "url": "https://arxiv.org/abs/nucl-th/0508040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ec7b8915-3e26-462f-b69b-41c2a4f798a8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}