X-ray scaling relations from a complete sample of the richest maxBCG clusters

The galaxy cluster scaling relations are important for studying baryon physics, structure formation and cosmology. We use a complete sample of 38 richest maxBCG clusters to study the ICM-galaxy scaling relations based on X-ray and optical observations. The clusters are selected from the two largest bins of optical richness in the Planck stacking work with the maxBCG richness N200 > 78. We analyze their Chandra and XMM-Newton data to derive the X-ray properties of the ICM. While the expected cluster temperatures should be scattered around 5-10 keV from the optical richness, the observed range extends to temperatures as low as 1.5 keV. Meanwhile, they follow normal Lx-Tx and Lx-Yx relations, which suggests that they are normal X-ray clusters. Moreover, the observed average Yx is consistent with the expected Yx inferred from the Planck mean staking Ysz in the same two richest bins. However, the scatter of the Lx-N and Yx-N relations are also large and asymmetric with more outliers towards lower Lx or Yx. The mismatch between ICM-galaxy scaling relations can come from several factors, including miscentering, projection, contamination of low mass systems, mass bias and covariance bias. The mismatch is smaller when using a BCG-dominated subsample, with the outliers suffering from the projection problem. Our results suggest that results from blind stacking should be interpreted carefully. We also evaluate the fractions of relaxed and cool core (CC) clusters in our sample. Both are smaller than those from SZ or X-ray selected samples.