The oscillating cluster correlation function

Abstract

We investigate the distribution of clusters of galaxies and determine the cluster correlation function and power spectrum. Clusters of galaxies located in rich superclusters with at least 8 members form a quasiregular network of superclusters and voids. The correlation function of clusters in rich superclusters is oscillating with a period of 120 Mpc (for Hubble constant h=1), the power spectrum for the whole cluster sample has a peak at the corresponding wavelength. The power index on small wavelengths is n=-1.8, on large wavelengths the power index is within observational errors compatible with the Harrison-Zeldovich index n=1. The observed spectrum is compared with the spectrum of the standard CDM model, the probability that the observed spectrum is a random realisation of the CDM-type model is estimated to be not larger than one in million.