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We have constructed the mass function of globular star clusters in theSombrero galaxy in bins of different internal half-mass density rho_h andprojected galactocentric distance R. This is based on the publishedmeasurements of the magnitudes and effective radii of the clusters by Spitleret al. (2006) in BVR images taken with the ACS on HST. We find that the peak ofthe mass function M_p increases with rho_h by a factor of about 4 but remainsnearly constant with R. Our results are almost identical to those presentedrecently by McLaughlin & Fall (2007) for globular clusters in the Milky Way.The mass functions in both galaxies agree with a simple, approximate model inwhich the clusters form with a Schechter initial mass function and evolvesubsequently by stellar escape driven by internal two-body relaxation. Thesefindings therefore undermine recent claims that the present peak of the massfunction of globular clusters must have been built into the initial conditions.

Density Dependence of the Mass Function of Globular Star Clusters in the Sombrero Galaxy and its Dynamical Implications