By cross-correlating the results of two recent large-scale surveys, the
general properties of a well defined sample of semi-regular variable stars have
been determined. ISOGAL mid-infrared photometry and MACHO lightcurves are
assembled for approximately 300 stars in the Baade's Windows of low extinction
towards the Galactic bulge. These stars are mainly giants of late M spectral
type, evolving along the asymptotic giant branch (AGB). They are found to
possess a wide and continuous distribution of pulsation periods and to obey an
approximate log~period -- bolometric magnitude relation or set of such
relations.
Approximate mass-loss rates in the range of 1e-8 to 5e-7 M_sun per year are
derived from ISOGAL mid-infrared photometry and models of stellar spectra
adjusted for the presence of optically-thin circumstellar silicate dust.
Mass-loss rates depend on luminosity and pulsation period. Some stars lose mass
as rapidly as short-period Miras but do not show Mira-like amplitudes. A period
of 70 days or longer is a necessary but not a sufficient condition for mass
loss to occur.
For AGB stars in the mass-loss ranges that we observe, the functional
dependence of mass-loss rate on temperature and luminosity is found to be in
agreement with recent theoretical predictions. If we include our mass-loss
rates with a sample of extreme mass-losing AGB stars in the Large Magellanic
Cloud, we get the general result for AGB stars that mass-loss rate is
proportional to luminosity^{2.7}, valid for AGB stars with 10^{-8} to 10^{-4}
M_sun per year (Abridged).Comment: to appear in The Astrophysical Journal, 51 pages, 9 figures, 3
tables; table 1 will be available in machine-readable format at the
electronic Ap