Luminosity functions and the evolution of low-mass population I giants

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Giant Stars, Population Theory, Star Clusters, Stellar Evolution, Stellar Luminosity, Bolometers, Helium, Hertzsprung-Russell Diagram, Stellar Mass, Stellar Motions, White Dwarf Stars

Scientific paper

Luminosity functions in terms of bolometric magnitudes are constructed for M67 and for two samples of old-disk field giants. These are compared with theoretical rates of evolution on the giant branch. M67 has too few stars to give a useful comparison. The field giants show good agreement with theory, and the number of stars at the 'clump' suggests that core helium-burning is prolonged by overshoot with semiconvective mixing. The fuel consumption derived from the luminosity functions is consistent with core helium ignition at the theoretically predicted core mass, and with a final core mass in agreement with observed white dwarf masses. Data are needed for a larger complete sample of field giants for the luminosity function to be better determined. Further details, especially for the variable M giants at the top of the giant branch, are needed for population syntheses of elliptical galaxies.

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