The correlation function of rich clusters of galaxies in CDM-like models

We use ensembles of high-resolution CDM simulations to investigate the shape and amplitude of the two-point correlation function of rich clusters. The standard scale-invariant CDM model with Ω=1 provides a poor description of the clustering measured from the APM rich cluster redshift survey, which is better fitted by models with more power at large scales. The amplitudes of the rich cluster correlation functions measured from our models depend weakly on cluster richness. Analytic calculations of the clustering of peaks in a Gaussian density field overestimate the amplitude of the N-body cluster correlation functions, but reproduce qualitatively the weak trend with cluster richness