dorsal/arxiv
View SchemaChiral Lagrangians and Quark Condensate in Nuclei
| Authors | J. Delorme, G. Chanfray, M. Ericson |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9603005 |
| URL | https://arxiv.org/abs/nucl-th/9603005 |
| DOI | 10.1016/0375-9474(96)80001-8 |
| Journal | Nucl.Phys. A603 (1996) 239-256 |
Abstract
We study the evolution with density of the quark condensate in the nuclear medium with interacting nucleons and including the short range correlations. We work with two chiral models, the linear sigma model and the non-linear one. For the last one we use two versions, one which does not satisfy PCAC, and another one which does. We show that the quark condensate, as other observables, is independent on the variant selected. The application to physical pions excludes the linear sigma model as a credible one. In the non-linear models our conclusions are: first there is no systematic reaction imposed by chiral symmetry against symmetry restoration, second, if one keeps only the s-wave pion-nucleon interaction, the quark condensate evolves essentially linearly with density, as if the nucleons were non interacting. The main correction arises from the p-wave pion-nucleon interaction. Last, in the s-wave optical potential, chiral symmetry tolerates but does not impose two body terms. On the other hand the effect of correlations linked to the isospin symmetric amplitude is negligible.
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"abstract": "We study the evolution with density of the quark condensate in the nuclear\nmedium with interacting nucleons and including the short range correlations. We\nwork with two chiral models, the linear sigma model and the non-linear one. For\nthe last one we use two versions, one which does not satisfy PCAC, and another\none which does. We show that the quark condensate, as other observables, is\nindependent on the variant selected. The application to physical pions excludes\nthe linear sigma model as a credible one. In the non-linear models our\nconclusions are: first there is no systematic reaction imposed by chiral\nsymmetry against symmetry restoration, second, if one keeps only the s-wave\npion-nucleon interaction, the quark condensate evolves essentially linearly\nwith density, as if the nucleons were non interacting. The main correction\narises from the p-wave pion-nucleon interaction. Last, in the s-wave optical\npotential, chiral symmetry tolerates but does not impose two body terms. On the\nother hand the effect of correlations linked to the isospin symmetric amplitude\nis negligible.",
"arxiv_id": "nucl-th/9603005",
"authors": [
"J. Delorme",
"G. Chanfray",
"M. Ericson"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/0375-9474(96)80001-8",
"journal_ref": "Nucl.Phys. A603 (1996) 239-256",
"title": "Chiral Lagrangians and Quark Condensate in Nuclei",
"url": "https://arxiv.org/abs/nucl-th/9603005"
},
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