dorsal/arxiv
View SchemaScalar and vector decomposition of the nucleon self-energy in the relativistic Brueckner approach
| Authors | C. Fuchs, T. Waindzoch, Amand Faessler, D. S. Kosov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9709072 |
| URL | https://arxiv.org/abs/nucl-th/9709072 |
| DOI | 10.1103/PhysRevC.58.2022 |
| Journal | Phys. Rev. C 58 (1998) 2022 |
Abstract
We investigate the momentum dependence of the nucleon self-energy in nuclear matter. We apply the relativistic Brueckner-Hartree-Fock approach and adopt the Bonn A potential. A strong momentum dependence of the scalar and vector self-energy components can be observed when a commonly used pseudo-vector choice for the covariant representation of the T-matrix is applied. This momentum dependence is dominated by the pion exchange. We discuss the problems of this choice and its relations to on-shell ambiguities of the T-matrix representation. Starting from a complete pseudo-vector representation of the T-matrix, which reproduces correctly the pseudo-vector pion-exchange contributions at the Hartree-Fock level, we observe a much weaker momentum dependence of the self-energy. This fixes the range of the inherent uncertainty in the determination of the scalar and vector self-energy components. Comparing to other work, we find that extracting the self-energy components by a fit to the single particle potential leads to even more ambiguous results.
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"abstract": "We investigate the momentum dependence of the nucleon self-energy in nuclear\nmatter. We apply the relativistic Brueckner-Hartree-Fock approach and adopt the\nBonn A potential. A strong momentum dependence of the scalar and vector\nself-energy components can be observed when a commonly used pseudo-vector\nchoice for the covariant representation of the T-matrix is applied. This\nmomentum dependence is dominated by the pion exchange. We discuss the problems\nof this choice and its relations to on-shell ambiguities of the T-matrix\nrepresentation. Starting from a complete pseudo-vector representation of the\nT-matrix, which reproduces correctly the pseudo-vector pion-exchange\ncontributions at the Hartree-Fock level, we observe a much weaker momentum\ndependence of the self-energy. This fixes the range of the inherent uncertainty\nin the determination of the scalar and vector self-energy components. Comparing\nto other work, we find that extracting the self-energy components by a fit to\nthe single particle potential leads to even more ambiguous results.",
"arxiv_id": "nucl-th/9709072",
"authors": [
"C. Fuchs",
"T. Waindzoch",
"Amand Faessler",
"D. S. Kosov"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.58.2022",
"journal_ref": "Phys. Rev. C 58 (1998) 2022",
"title": "Scalar and vector decomposition of the nucleon self-energy in the relativistic Brueckner approach",
"url": "https://arxiv.org/abs/nucl-th/9709072"
},
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