RELATIONS OF CORE MASS-STELLAR LUMINOSITY AND CORE MASS-STELLAR RADIUS FOR AGB AND FGB STARS

The relations between core mass and stellar luminosity and radius for AGB and FGB stars are systematically investigated with the latest stel lar models. A single unique relation between the core mass and giant's luminosity is obtained. The core mass-giant's radius relations are gi ven for both Pop I and Pop II stars. The core mass-giant's luminosity relation is almost independent of the stellar parameters, such as stel lar metallicity, mixing length parameter alpha, and stellar winds. The core mass-giant's radius relation is somewhat affected by the paramet ers. The giant's radius at an M-c(core mass) for Pop II is smaller tha n that for Pop I (by a factor of similar to 1.5). A larger mixing leng th parameter alpha also tends to reduce the giant's radius.