From chiral Lagrangians to Landau-Fermi liquid theory of nuclear matter

A simple relation between the effective parameters of chiral Lagrangians in medium as predicted by BR scaling and Landau-Fermi liquid parameters is derived. This provides a link between an effective theory of QCD at mean-field level and many-body theory of nuclear matter. It connects in particular the scaling vector-meson mass probed by dileptons produced in heavy-ion collisions (e.g., CERES of CERN-SPS) to the scaling nucleon-mass relevant for low-energy spectroscopic properties, e.g., the nuclear gyromagnetic ratios δg₁ and the effective axial-vector constant g _A^∗.