The Real Space and Redshift Space Correlation Functions at Redshift Z = 1/3

Astronomy and Astrophysics – Astronomy

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Galaxies: Clusters: General, Galaxies: Distances And Redshifts, Galaxies: Evolution

Scientific paper

We present the results of a study of the two-point 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 r-band 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 xi (r) = (r/r0)-1.7, finding r0=1.9^{+0.4}_{-0.4} h-1 Mpc ( Omega 0 = 1), or r0=2.2^{+0.5}_{-0.4} h^{-1} {Mpc} ( Omega 0 = 0.2); uncertainties are estimated using the bias-corrected 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 xi (r, z) = xi (r, 0)(1 + z)-(3+ varepsilon ) with xi (r, 0) = (r/5.1 h-1 Mpc)-1.7, then varepsilon ~ 1.5. Comparison of the redshift space and real space correlation functions indicates that the one-dimensional pairwise peculiar velocity dispersion sigma at z ~ 0.37 is weakly inconsistent with 720 km s-1, the value predicted by the cosmic virial theorem if Omega 0 = 1. The observed correlation functions are, however, consistent with sigma ~ 360 km s-1, the value expected if Omega 0 = 0.2.

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