{
  "annotation_id": "8987a61f-d531-42f8-b9aa-aa807f3b8a4a",
  "date_created": "2026-03-02T18:00:04.432000Z",
  "date_modified": "2026-03-02T18:00:04.432000Z",
  "file_hash": "52318e7fb4129f0ba6470ed89cf9b1cb7e4d94a7de4d07a9107fc498fd303e50",
  "private": false,
  "record": {
    "abstract": "Symmetry energy terms from macroscopic mass formulae are investigated as\ngeneralized polarizabilities of nuclear matter. Besides the neutron-proton\n(n-p) symmetry energy the spin dependent symmetry energies and a scalar one are\nalso defined. They depend on the nuclear densities ($\\rho$), neutron-proton\nasymmetry ($b$), temperature ($T$) and exchanged energy and momentum ($q$).\nBased on a standard expression for the generalized polarizabilities, a\ndifferential equation is proposed to constrain the dependence of the symmetry\nenergy on the n-p asymmetry and on the density. Some solutions are discussed.\nThe q-dependence (zero frequence) of the symmetry energy coefficients with\nSkyrme-type forces is investigated in the four channels of the particle-hole\ninteraction. Spin dependent symmetry energies are also investigated indicating\nmuch stronger differences in behavior with $q$ for each Skyrme force than the\nresults for the neutron-proton one.",
    "arxiv_id": "nucl-th/0412088",
    "authors": [
      "Fabio L. Braghin"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.71.064303 10.1103/PhysRevC.79.069902",
    "journal_ref": "Phys.Rev.C71:064303,2005; Erratum-ibid.C79:069902,2009",
    "title": "Nuclear matter symmetry energy from generalized polarizabilities:   dependences on momentum, isospin, density and temperature",
    "url": "https://arxiv.org/abs/nucl-th/0412088"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "26260aa5-e4fa-4729-abc1-8711290aeb5a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}