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# A detection of Baryon Acoustic Oscillations from the distribution of galaxy clusters

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### Abstract

We calculate the correlation function of 79,091 galaxy clusters in the redshift region of $$0.05 \leq z \leq 0.5$$ selected from the WH15 cluster catalog. With a weight of cluster mass, a significant baryon acoustic oscillation (BAO) peak is detected on the correlation function with a significance of $$3.9 \sigma$$. By fitting the correlation function with a $$\Lambda$$CDM model curve, we find $$D_v(z = 0.331) r_d^{fid}/r_d = 1269.4 \pm 58$$ Mpc which is consistent with the Planck 2015 cosmology. We find that the correlation functions of the higher mass sub-samples show a higher amplitude at small scales of $$r < 80~h^{-1}{\rm Mpc}$$, which is consistent with our precious result. We find a clear signal of the `Finger-of-God' effect on the 2D correlation function of the whole sample, which indicates the random peculiar motion of central bright galaxies in the gravitation potential well of clusters.

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###### Journal
1511.00392

Cosmology & Extragalactic astrophysics