Correlation Length of X-ray Brightest Abell Clusters

Astronomy and Astrophysics – Astrophysics

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Scientific paper

We compute the cluster auto-correlation function xicc(r) of an X-ray flux limited sample of Abell clusters (XBACs, {ebe}). For the total XBACs sample we find a power-law fit xicc = (r/r_0)gamma with r_0 = 21.1 Mpc h^{-1}and gamma = -1.9 consistent with the results of R >= 1 Abell clusters. We also analyze xicc(r) for subsamples defined by different X-ray luminosity thresholds where we find a weak tendency of larger values of r_0 with increasing X-ray luminosity although with a low statistical significance. In the different subsamples analyzed we find 21 < r_0 < 35 Mpc h^{-1} and -1.9 < gamma < -1.6. Our analysis suggests that cluster X-ray luminosities may be used for a reliable confrontation of cluster spatial distribution properties in models and observations.

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