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25 April 2024
 
  » arxiv » astro-ph/9407076

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The Two-Point Correlation Function of Rich Clusters of Galaxies: Results from an Extended APM Cluster Redshift Survey
G.B. Dalton ; R.A.C. Croft ; G. Efstathiou ; W.J. Sutherland ; S.J. Maddox ; & M. Davis ;
Date 25 Jul 1994
Subject astro-ph
AbstractWe present new estimates of the spatial two-point correlation function of rich clusters of galaxies selected from the APM Galaxy Survey. We have measured redshifts for a sample of $364$ clusters out to a depth of $sim 450hmpc$. The clusters have a mean space density of $ar{n} = 3.4 imes 10^{-5}hmpccc$. The two-point correlation function, $xi_{cc}$, for this sample is equal to unity at a pair-separation of $r_0 = 14.3pm1.75hmpc$ (2$sigma$ errors), consistent with our earlier results from a smaller sample. The new observations provide an accurate determination of the shape of $xi_{cc}$ to pair-separations of about $50hmpc$. Our results show that $xi_{cc}$ has a higher amplitude than expected according to the standard $Omega=1$ cold dark matter (CDM) model on spatial scales $2simlt s simlt 50hmpc$, but are in good agreement with scale-invariant fluctuations in either a low density CDM model or a critical density universe made up of a mixture of hot and cold dark matter. Our results provide strong constraints on so called `co-operative’ models of galaxy formation in which the galaxy formation process introduces large-scale structure in the galaxy distribution.
Source arXiv, astro-ph/9407076
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