HST Observations of the Stellar Population of the Globular Cluster W CEN

We present a luminosity function for ∼4000 stars ∼3-5 half-mass radii from the center of the globular cluster co Cen (NGC 5139), based on images obtained with the Rubble Space Telescope's Planetary Camera as part of the Medium Deep Survey Key Project. The luminosity function (corrected for incompleteness) has a plateau at 5 I<7, and flattens out at MI>8.5. This flattening contradicts results from ground based data at the same radii, which imply increasing numbers of stars at faint magnitudes. We illustrate the pitfalls involved in converting luminosity functions to mass functions. With our current lack of knowledge of the mass-luminosity. relation for low-mass, metal-poor stars, the shape of the mass function below m∼0.25 Msun remains uncertain, even with a luminosity function reliably determined to MI=10 (m∼0.20 Msun). We compare solar abundance, solar neighborhood luminosity functions with the ω Cen luminosity function, and find that they are indistinguishable over the range 5 I<10. If this is not just a coincidence, then it suggests that either the stellar initial mass function over the range 0.2 sun<0.8 is relatively independent of both environment and chemical abundance, or the derivative of the mass-luminosity relation in both V and I changes with metallicity in just such a way as to cancel any metallicity dependence in the luminosity function. We present a color-magnitude diagram for ∼800 stars, which shows a well-defined main-sequence extending to I≍26 and four white dwarfs with 24sun.