dorsal/arxiv
View SchemaRelativistic Nuclear Matter with Self-Consistent Correlation Energy
| Authors | J. A. McNeil, C. E. Price, J. R. Shepard |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9212003 |
| URL | https://arxiv.org/abs/nucl-th/9212003 |
| DOI | 10.1103/PhysRevC.47.1534 |
| Journal | Phys.Rev.C47:1534-1538,1993 |
Abstract
We study relativistic nuclear matter in the $\sigma - \omega$ model including the ring-sum correlation energy. The model parameters are adjusted self-consistently to give the canonical saturation density and binding energy per nucleon with the ring energy included. Two models are considered, mean-field-theory where we neglect vacuum effects, and the relativistic Hartree approximation where such effects are included but in an approximate way. In both cases we find self-consistent solutions and present equations of state. In the mean-field case the ring energy completely dominates the attractive part of the energy density and the elegant saturation mechanism of the standard approach is lost, namely relativistic quenching of the scalar attraction. In the relativistic Hartree approach the vacuum effects are included in an approximate manner using vertex form factors with a cutoff of 1 - 2 GeV, the range expected from QCD. Due to the cutoff, the ring energy for this case is significantlysmaller, and we obtain self-consistent solutions which preserve the basic saturation mechanism of the standard relativistic approach.
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"abstract": "We study relativistic nuclear matter in the $\\sigma - \\omega$ model including\nthe ring-sum correlation energy. The model parameters are adjusted\nself-consistently to give the canonical saturation density and binding energy\nper nucleon with the ring energy included. Two models are considered,\nmean-field-theory where we neglect vacuum effects, and the relativistic Hartree\napproximation where such effects are included but in an approximate way. In\nboth cases we find self-consistent solutions and present equations of state. In\nthe mean-field case the ring energy completely dominates the attractive part of\nthe energy density and the elegant saturation mechanism of the standard\napproach is lost, namely relativistic quenching of the scalar attraction. In\nthe relativistic Hartree approach the vacuum effects are included in an\napproximate manner using vertex form factors with a cutoff of 1 - 2 GeV, the\nrange expected from QCD. Due to the cutoff, the ring energy for this case is\nsignificantlysmaller, and we obtain self-consistent solutions which preserve\nthe basic saturation mechanism of the standard relativistic approach.",
"arxiv_id": "nucl-th/9212003",
"authors": [
"J. A. McNeil",
"C. E. Price",
"J. R. Shepard"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.47.1534",
"journal_ref": "Phys.Rev.C47:1534-1538,1993",
"title": "Relativistic Nuclear Matter with Self-Consistent Correlation Energy",
"url": "https://arxiv.org/abs/nucl-th/9212003"
},
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