The Real Space and Redshift Space Correlation Functions at Redshift z = 1/3
Abstract
We present the results of a study of the twopoint correlation function for a sample of field galaxies taken from the Canadian Network for Observational Cosmology cluster survey. The sample consists of 183 galaxies within a contiguous region of sky covering 216 square arcminutes. The objects have rband magnitudes 17.0 <= r <= 21.7 and redshifts 0.21 <= z <= 0.53. The median redshift of the sample is 0.37. We fit the real space correlation function to a power law ξ(r) = (r/r_{0})^{1.7}, finding r_{0}=1.9^{+0.4}_{0.4} h^{1} Mpc (Ω_{0} = 1), or r_{0}=2.2^{+0.5}_{0.4} h^{1} Mpc (Ω_{0} = 0.2); uncertainties are estimated using the biascorrected bootstrap resampling method, with 300 resamplings. This low correlation length implies strong evolution has occurred in the correlation function; if the observed correlation function is modeled as ξ(r, z) = ξ(r, 0)(1 + z)^{(3+ɛ)} with ξ(r, 0) = (r/5.1 h^{1} Mpc)^{1.7}, then ɛ ~ 1.5. Comparison of the redshift space and real space correlation functions indicates that the onedimensional pairwise peculiar velocity dispersion σ at z ~ 0.37 is weakly inconsistent with 720 km s^{1}, the value predicted by the cosmic virial theorem if Ω_{0} = 1. The observed correlation functions are, however, consistent with σ ~ 360 km s^{1}, the value expected if Ω_{0} = 0.2.
 Publication:

The Astrophysical Journal
 Pub Date:
 April 1997
 DOI:
 10.1086/303846
 Bibcode:
 1997ApJ...479...82S
 Keywords:

 Galaxies: Clusters: General;
 Galaxies: Distances and Redshifts;
 Galaxies: Evolution