A Detection of Baryon Acoustic Oscillations from the Distribution of Galaxy Clusters

We calculate the correlation function of 79,091 galaxy clusters in the redshift region of z≤slant 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 3.7σ . By fitting the correlation function with a ΛCDM model curve, we find {D}_v(z=0.331){r}_d^{fid}/{r}_d=1261.5+/- 48 Mpc, which is consistent with the Planck 2015 cosmology. We find that the correlation function of the higher mass sub-sample shows a higher amplitude at small scales of r\lt 80 {h}^-1 {{Mpc}}, which is consistent with our previous result. The two-dimensional correlation function of this large sample of galaxy clusters shows a faint BAO ring with a significance of 1.8σ , from which we find that the distance scale parameters on directions across and along the line of sight are {α }_σ =1.02+/- 0.06 and {α }_π =0.94+/- 0.10, respectively.