We study the dynamical evolution of globular clusters using our Henon-type Monte Carlo code for stellar dynamics including all relevant physics such as two-body relaxation, single and binary stellar evolution, Galactic tidal stripping, and strong interactions such as physical collisions and binary mediated scattering. We compute a large database of several hundred models starting from broad ranges of initial conditions guided by observations of young and massive star clusters. We show that these initial conditions very naturally lead to present day clusters with properties including the central density, core radius, half-light radius, half-mass relaxation time, and cluster mass, that match well with those of the old Galactic globular clusters. In particular, we can naturally reproduce the bimodal distribution in observed core radii separating the core-collapsed vs the non core-collapsed clusters. We see that the core-collapsed clusters are those that have reached or are about to reach the equilibrium binary burning phase. The non core-collapsed clusters are still undergoing gravo-thermal contraction.
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