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ApJ, submitted Preprint typeset using L ATEX style emulateapj v. 25/04/01 THE MASS–TO–LIGHT FUNCTION OF VIRIALIZED SYSTEMS AND THE RELATIONSHIP BETWEEN THEIR OPTICAL AND X-RAY PROPERTIES

By Christian Marinoni, Michael J. Hudson and Apj Submitted

Abstract

We compare the B-band luminosity function of virialized halos with the mass function predicted by the Press-Schechter theory in cold dark matter cosmogonies. We find that all cosmological models fail to match our results if a constant mass–to–light ratio is assumed. In order for these models to match the faint end of the luminosity function, a mass–to–light ratio decreasing with luminosity as L−0.5±0.06 is required. For a ΛCDM model, the mass–to–light function has a minimum of ∼ 100h −1 in solar units in 75 the B-band, corresponding to ∼ 25 % of the baryons in the form of stars, and this minimum occurs close to the luminosity of an L ∗ galaxy. At the high-mass end, the ΛCDM model requires a mass–to–light ratio increasing with luminosity as L +0.5±0.26. This scaling behavior of the mass–to–light ratio appears to be in qualitative agreement with the predictions of semi-analytical models of galaxy formation. In contrast, for the τCDM model, a constant mass–to–light ratio suffices to match the high-mass end. hosted in We also derive the halo occupation number, i.e. the number of galaxies brighter than L ∗ ga

Year: 2001
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