A Chiral Effective Lagrangian for Nuclei

Details A Chiral Effective Lagrangian for Nuclei A Chiral Effective Lagrangian for Nuclei

1996-08-15

arxiv.org/abs/nucl-th/9608035v1

Nucl.Phys. A615 (1997) 441-482; Erratum-ibid. A640 (1998) 505

Physics

Nuclear Physics

Nuclear Theory

43 pages, REVTeX 3.0 with epsf.sty, plus 12 figures

Scientific paper

10.1016/S0375-9474(96)00472-1

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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