dorsal/arxiv
View SchemaCovariant representations of the relativistic Brueckner T-matrix and the nuclear matter problem
| Authors | T. Gross-Boelting, C. Fuchs, Amand Faessler |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9810071 |
| URL | https://arxiv.org/abs/nucl-th/9810071 |
| DOI | 10.1016/S0375-9474(99)00022-6 |
| Journal | Nucl.Phys.A648:105-137,1999 |
Abstract
We investigate nuclear matter properties in the relativistic Brueckner approach. The in-medium on-shell T-matrix is represented covariantly by five Lorentz invariant amplitudes from which we deduce directly the nucleon self-energy. We discuss the ambiguities of this approach and the failure of previously used covariant representations in reproducing the nucleon self-energies on the Hartree-Fock level. To enforce correct Hartree-Fock results we develop a subtraction scheme which treats the bare nucleon-nucleon potential exactly in accordance to the different types of meson exchanges. For the remaining ladder kernel, which contains the higher order correlations, we employ then two different covariant representations in order to study the uncertainty inherent in the approach. The nuclear matter bulk properties are only slightly sensitive on the explicit representation used for the kernel. However, we obtain new Coester lines for the various Bonn potentials which are shifted towards the empirical region of saturation. In addition the nuclear equation-of-state turns out to be significantly softer in the new approach.
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"abstract": "We investigate nuclear matter properties in the relativistic Brueckner\napproach. The in-medium on-shell T-matrix is represented covariantly by five\nLorentz invariant amplitudes from which we deduce directly the nucleon\nself-energy. We discuss the ambiguities of this approach and the failure of\npreviously used covariant representations in reproducing the nucleon\nself-energies on the Hartree-Fock level. To enforce correct Hartree-Fock\nresults we develop a subtraction scheme which treats the bare nucleon-nucleon\npotential exactly in accordance to the different types of meson exchanges. For\nthe remaining ladder kernel, which contains the higher order correlations, we\nemploy then two different covariant representations in order to study the\nuncertainty inherent in the approach. The nuclear matter bulk properties are\nonly slightly sensitive on the explicit representation used for the kernel.\nHowever, we obtain new Coester lines for the various Bonn potentials which are\nshifted towards the empirical region of saturation. In addition the nuclear\nequation-of-state turns out to be significantly softer in the new approach.",
"arxiv_id": "nucl-th/9810071",
"authors": [
"T. Gross-Boelting",
"C. Fuchs",
"Amand Faessler"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(99)00022-6",
"journal_ref": "Nucl.Phys.A648:105-137,1999",
"title": "Covariant representations of the relativistic Brueckner T-matrix and the nuclear matter problem",
"url": "https://arxiv.org/abs/nucl-th/9810071"
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