SCALING OF HADRON PROPERTIES AT FINITE-DENSITY IN A CHIRAL QUARK-MODEL WITH A GLUEBALL

We investigate the density dependence of quark and gluon condensates i n a chiral quark model with inclusion of a dilatation field. We consid er a class of chiral quark models with an arbitrary local interaction between quark bilinears and the dilaton. Imposing chiral symmetry and an appropriate scale-transformation property we extract the leading fi nite-density corrections to some hadron properties (the pion mass and decay constant and other hadronic masses). We find that the low-densit y behavior of hadron properties is insensitive to the specific form of the interaction. Conditions for universal scaling of hadron propertie s at finite density are elaborated. We point out that universal scalin g occurs only if the glueball mass is small compared to the mass of th e chiral scalar meson. This condition is probably of a more general na ture than the models studied here.