Correlation Between the Halo Concentration (c) and the Virial Mass (Mvir) Determined from X-ray Clusters
Abstract
Numerical simulations of structure formation have suggested that there exists a good correlation between the halo concentration c (or the characteristic density deltac) and the virial mass Mvir for any virialized dark halo described by the Navarro, Frenk & White (1995) density profile. In this Letter, we present an observational determination of the c-Mvir (or deltac-Mvir) relation in the mass range of 1014< Mvir <1016 (solar mass) using a sample of 63 X-ray luminous clusters. The best-fit power law relation, which is roughly independent of the values of OmegaM and Lambda, is c propto Mvir(-0.5) or deltac propto Mvir(-1.2), indicating n=-0.7 for a scale-free power spectrum of the primordial density fluctuations. We discuss the possible reasons for the conflict with the predictions by typical CDM models such as SCDM, LCDM and OCDM.
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