Correlation length of X-ray brightest Abell clusters

Abstract

We compute the cluster auto-correlation function ${\xi }_{cc}(r)$ of an X-ray flux limited sample of Abell clusters (XBACs, \cite{ebe}). For the total XBACs sample we find a power-law fit ${\xi }_{cc}=(r/r_0{)}^{\gamma }$ with $r_0=21.1$ Mpc h${}^{-1}$and $\gamma =-1.9$ consistent with the results of $R\ge 1$ Abell clusters. We also analyze ${\xi }_{cc}(r)$ 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.

Accepted for publication in Astrophysical Journal

References in corpus (1)

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