The Luminosity Functions of Old and Intermediate-Age Globular Clusters in NGC 3610

Abstract

The WFPC2 Camera on board HST has been used to obtain high-resolution images of NGC 3610, a dynamically young elliptical galaxy. These observations supersede shorter, undithered HST observations where an intermediate-age population of globular clusters was first discovered. The new observations show the bimodal color distribution of globular clusters more clearly, with peaks at (V-I)o = 0.95 and 1.17. The luminosity function (LF) of the blue, metal-poor population of clusters in NGC 3610 turns over, consistent with a Gaussian distribution with a peak Mv ~= -7.0, similar to old globular-cluster populations in ellipticals. The red, metal-rich population of clusters has a LF that is more extended toward both the bright and faint ends, as expected for a cluster population of inter-mediate age. It is well fit by a power law with an exponent of alpha = -1.78 +-0.05, or -1.90+-0.07 when corrected for observational scatter. A Kolmogorov-Smirnov test confirms the significant difference between the LFs of the red and blue clusters, with a probability of less than 0.1% that they come from the same population. A comparison with the Fall & Zhang cluster disruption models shows marginal agreement with the observed LF, although there are differences in detail. In particular, there is no clear evidence of the predicted turnover at the faint end. A by-product of the analysis is the demonstration that, at any given metallicity, the peak of the LF should remain nearly constant from 1.5 Gyr to 12 Gyr, since the effect of the disruption of faint clusters is almost perfectly balanced by the fading of the clusters. This may help explain the apparent universality of the peak of the globular cluster luminosity function. (Abridged)