dorsal/arxiv
View SchemaDensity Dependent Hadron Field Theory
| Authors | C. Fuchs, H. Lenske |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9507044 |
| URL | https://arxiv.org/abs/nucl-th/9507044 |
| DOI | 10.1103/PhysRevC.52.3043 |
| Journal | Phys.Rev.C52:3043-3060,1995 |
Abstract
A fully covariant approach to a density dependent hadron field theory is presented. The relation between in--medium NN interactions and field--theoretical meson--nucleon vertices is discussed. The medium dependence of nuclear interactions is described by a functional dependence of the meson--nucleon vertices on the baryon field operators. As a consequence, the Euler--Lagrange equations lead to baryon rearrangement self--energies which are not obtained when only a parametric dependence of the vertices on the density is assumed. It is shown that the approach is energy--momentum conserving and thermodynamically consistent. Solutions of the field equations are studied in the mean--field approximation. Descriptions of the medium dependence in terms of the baryon scalar and vector density are investigated. Applications to infinite nuclear matter and finite nuclei are discussed. Density dependent coupling constants obtained from Dirac--Brueckner calculations with the Bonn NN-potentials are used. Results from Hartree calculations for energy spectra, binding energies and charge density distributions of $^{16}O$, $^{40,48}Ca$ and $^{208}Pb$ are presented. Comparisons to data strongly support the importance of rearrangement in a relativistic density dependent field theory. Most striking is the simultanuous improvement of charge radii, charge densities and binding energies. The results indicate the appearance of a new "Coester line" in the nuclear matter equation of state.
{
"annotation_id": "e81cab02-dc71-4bab-8e2b-dd4e87ab293f",
"date_created": "2026-03-02T18:00:15.247000Z",
"date_modified": "2026-03-02T18:00:15.247000Z",
"file_hash": "3419c32bb4f3fa85b5d55faa478afd6f9103a58ae48a3991960b4c829ff1837c",
"private": false,
"record": {
"abstract": "A fully covariant approach to a density dependent hadron field theory is\npresented. The relation between in--medium NN interactions and\nfield--theoretical meson--nucleon vertices is discussed. The medium dependence\nof nuclear interactions is described by a functional dependence of the\nmeson--nucleon vertices on the baryon field operators. As a consequence, the\nEuler--Lagrange equations lead to baryon rearrangement self--energies which are\nnot obtained when only a parametric dependence of the vertices on the density\nis assumed. It is shown that the approach is energy--momentum conserving and\nthermodynamically consistent. Solutions of the field equations are studied in\nthe mean--field approximation. Descriptions of the medium dependence in terms\nof the baryon scalar and vector density are investigated. Applications to\ninfinite nuclear matter and finite nuclei are discussed. Density dependent\ncoupling constants obtained from Dirac--Brueckner calculations with the Bonn\nNN-potentials are used. Results from Hartree calculations for energy spectra,\nbinding energies and charge density distributions of $^{16}O$, $^{40,48}Ca$ and\n$^{208}Pb$ are presented. Comparisons to data strongly support the importance\nof rearrangement in a relativistic density dependent field theory. Most\nstriking is the simultanuous improvement of charge radii, charge densities and\nbinding energies. The results indicate the appearance of a new \"Coester line\"\nin the nuclear matter equation of state.",
"arxiv_id": "nucl-th/9507044",
"authors": [
"C. Fuchs",
"H. Lenske"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.52.3043",
"journal_ref": "Phys.Rev.C52:3043-3060,1995",
"title": "Density Dependent Hadron Field Theory",
"url": "https://arxiv.org/abs/nucl-th/9507044"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "014a5285-2763-4cda-9350-d428008c5998",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}