Journal Article

Mass function of rich galaxy clusters and its constraint on σ<sub>8</sub>

Z. L. Wen, J. L. Han and F. S. Liu

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 407, issue 1, pages 533-543
Published in print September 2010 | ISSN: 0035-8711
Published online August 2010 | e-ISSN: 1365-2966 | DOI:
Mass function of rich galaxy clusters and its constraint on σ8

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The mass function of galaxy clusters is a powerful tool to constrain cosmological parameters, e.g. the mass fluctuation on the scale of 8 h−1 Mpc, σ8, and the abundance of total matter, Ωm. We first determine the scaling relations between cluster mass and cluster richness, summed r-band luminosity and the global galaxy number within a cluster radius. These relations are then used to two complete volume-limited rich cluster samples which we obtained from the Sloan Digital Sky Survey (SDSS). We estimate the masses of these clusters and determine the cluster mass function. Fitting the data with a theoretical expression, we get the cosmological parameter constraints in the form of σ8m/0.3)α=β and find out the parameters of α= 0.40–0.50 and β= 0.8–0.9, so that σ8= 0.8–0.9 if Ωm= 0.3. Our σ8 value is slightly higher than recent estimates from the mass function of X-ray clusters and the Wilkinson Microwave Anisotropy Probe (WMAP) data, but consistent with the weak lensing statistics.

Keywords: galaxies: clusters: general; cosmological parameters

Journal Article.  5473 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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