The Virial Mass Function of Nearby Galaxy Groups and Clusters

Mathematics – Logic

Scientific paper

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Scientific paper

We present a new determination of the cluster mass function in a volume 107 h70-3 Mpc3 using an X-ray-selected sample of systems from the ROSAT All-Sky Survey in the redshift range 0.01 < z < 0.06. We compile optical redshifts for galaxies in these systems from data in the literature and from new data collected with the FAST spectrograph on Mt. Hopkins. We remove foreground and background galaxies (interlopers) using a dynamical maximum-velocity criterion. To estimate the group and cluster masses, we apply the full virial theorem (including the surface pressure term). We verify these results using different interloper removal schemes and mass estimation techniques, including the projected mass estimator. We briefly investigate the σP-LX and M-LX scaling relations and find agreement with previous studies. We then compute the virial mass function of our sample and compare it with that of CIRS (the Cluster Infall Regions in SDSS sample; Rines et al. 2006) and that expected from the WMAP results (Spergel et al. 2007). We discuss the implications of our results, focusing on the low-luminosity systems best probed with this survey. Finally, by comparing our mass function to predictions from various cosmological models, we constrain two cosmological parameters: the density of matter in the universe, Ωm, and the rms amplitude of the density fluctuations on scales of 8 h-1 Mpc, σ8. We find fair agreement between our values for these parameters and the Three-Year WMAP values. This work was supported by a NSF REU grant through the Smithsonian Astrophysical Observatory.

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