A Possible Explanation for the Size Difference of Red and Blue Globular Clusters

Most observations of the projected half-light radii of metal-rich globular clusters in a variety of galaxies have shown them to be ~20% smaller than those of their metal-poor counterparts. We show using multi-mass isotropic Michie-King models that the combined effects of mass segregation and the dependence of main sequence lifetimes on metallicity can account for this difference, under the assumption that clusters with similar central potentials have the same distribution of half mass radii. If confirmed, this would represent a new constraint on theories of globular cluster formation and evolution.