dorsal/arxiv
View SchemaSelf-consistent description of vector-mesons in matter
| Authors | F. Riek, J. Knoll |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0402090 |
| URL | https://arxiv.org/abs/nucl-th/0402090 |
| DOI | 10.1016/j.nuclphysa.2004.05.010 |
| Journal | Nucl.Phys. A740 (2004) 287-308 |
Abstract
We study the influence of the virtual pion cloud in nuclear matter at finite densities and temperatures on the structure of the rho- and omega-mesons. The in-matter spectral function of the pion is obtained within a selfconsistent scheme of coupled Dyson equations where the coupling to the nucleon and the Delta(1232)-isobar resonance is taken into account. The selfenergies are determined using a two-particle irreducible (2PI) truncation scheme (Phi-derivable approximation) supplemented by Migdal's short range correlations for the particle-hole excitations. The so obtained spectral function of the pion is then used to calculate the in-medium changes of the vector-meson spectral functions. With increasing density and temperature a strong interplay of both vector-meson modes is observed. The four-transversality of the polarisation tensors of the vector-mesons is achieved by a projector technique. The resulting spectral functions of both vector-mesons and, through vector dominance, the implications of our results on the dilepton spectra are studied in their dependence on density and temperature.
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"abstract": "We study the influence of the virtual pion cloud in nuclear matter at finite\ndensities and temperatures on the structure of the rho- and omega-mesons. The\nin-matter spectral function of the pion is obtained within a selfconsistent\nscheme of coupled Dyson equations where the coupling to the nucleon and the\nDelta(1232)-isobar resonance is taken into account. The selfenergies are\ndetermined using a two-particle irreducible (2PI) truncation scheme\n(Phi-derivable approximation) supplemented by Migdal\u0027s short range correlations\nfor the particle-hole excitations. The so obtained spectral function of the\npion is then used to calculate the in-medium changes of the vector-meson\nspectral functions. With increasing density and temperature a strong interplay\nof both vector-meson modes is observed. The four-transversality of the\npolarisation tensors of the vector-mesons is achieved by a projector technique.\nThe resulting spectral functions of both vector-mesons and, through vector\ndominance, the implications of our results on the dilepton spectra are studied\nin their dependence on density and temperature.",
"arxiv_id": "nucl-th/0402090",
"authors": [
"F. Riek",
"J. Knoll"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2004.05.010",
"journal_ref": "Nucl.Phys. A740 (2004) 287-308",
"title": "Self-consistent description of vector-mesons in matter",
"url": "https://arxiv.org/abs/nucl-th/0402090"
},
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