dorsal/arxiv
View SchemaA Chiral Effective Lagrangian for Nuclei
| Authors | R. J. Furnstahl, Brian D. Serot, Hua-Bin Tang |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9608035 |
| URL | https://arxiv.org/abs/nucl-th/9608035 |
| DOI | 10.1016/S0375-9474(96)00472-1 |
| Journal | Nucl.Phys. A615 (1997) 441-482; Erratum-ibid. A640 (1998) 505 |
Abstract
An effective hadronic lagrangian consistent with the symmetries of quantum chromodynamics and intended for applications to finite-density systems is constructed. The degrees of freedom are (valence) nucleons, pions, and the low-lying non-Goldstone bosons, which account for the intermediate-range nucleon-nucleon interactions and conveniently describe the nonvanishing expectation values of nucleon bilinears. Chiral symmetry is realized nonlinearly, with a light scalar meson included as a chiral singlet to describe the mid-range nucleon-nucleon attraction. The low-energy electromagnetic structure of the nucleon is described within the theory using vector-meson dominance, so that external form factors are not needed. The effective lagrangian is expanded in powers of the fields and their derivatives, with the terms organized using Georgi's ``naive dimensional analysis''. Results are presented for finite nuclei and nuclear matter at one-baryon-loop order, using the single-nucleon structure determined within the model. Parameters obtained from fits to nuclear properties show that naive dimensional analysis is a useful principle and that a truncation of the effective lagrangian at the first few powers of the fields and their derivatives is justified.
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"abstract": "An effective hadronic lagrangian consistent with the symmetries of quantum\nchromodynamics and intended for applications to finite-density systems is\nconstructed. The degrees of freedom are (valence) nucleons, pions, and the\nlow-lying non-Goldstone bosons, which account for the intermediate-range\nnucleon-nucleon interactions and conveniently describe the nonvanishing\nexpectation values of nucleon bilinears. Chiral symmetry is realized\nnonlinearly, with a light scalar meson included as a chiral singlet to describe\nthe mid-range nucleon-nucleon attraction. The low-energy electromagnetic\nstructure of the nucleon is described within the theory using vector-meson\ndominance, so that external form factors are not needed. The effective\nlagrangian is expanded in powers of the fields and their derivatives, with the\nterms organized using Georgi\u0027s ``naive dimensional analysis\u0027\u0027. Results are\npresented for finite nuclei and nuclear matter at one-baryon-loop order, using\nthe single-nucleon structure determined within the model. Parameters obtained\nfrom fits to nuclear properties show that naive dimensional analysis is a\nuseful principle and that a truncation of the effective lagrangian at the first\nfew powers of the fields and their derivatives is justified.",
"arxiv_id": "nucl-th/9608035",
"authors": [
"R. J. Furnstahl",
"Brian D. Serot",
"Hua-Bin Tang"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/S0375-9474(96)00472-1",
"journal_ref": "Nucl.Phys. A615 (1997) 441-482; Erratum-ibid. A640 (1998) 505",
"title": "A Chiral Effective Lagrangian for Nuclei",
"url": "https://arxiv.org/abs/nucl-th/9608035"
},
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