1 the Zero-Point of the Cluster-Cluster Correlation Function: A Key Test of Cosmological Power Spectra (original) (raw)

1993

We propose the zero-point of the cluster-cluster correlation function as a sensitive test for the shape of the power spectrum of initial fluctuations. With a wealth of new available redshifts for rich clusters the correlation function is measured to higher accuracy than has previously been done. In particular it is now possible to go beyond the power law description to measure the point at which the correlation function becomes zero. Four independent measurements of the zero-point of the rich galaxy cluster correlation function indicate that the zero point, r0, should be in the range (40-60)h−1Mpc. The large value of r0 at which the zero-point occurs rules out conventional CDM models independently of the assumed amplitude. The most severe constraints are imposed on the CDM models with the cosmological constant. Models with Ω < 0.25 should be rejected because they predict too large r0. If the age of the Universe is assumed to be larger than 15 Gyr, models with either Ω < 0.5 or...

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