The Caustic Mass - Optical Richness Relation For C4 Galaxy Clusters

Mathematics – Logic

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Scientific paper

Determining cluster mass through dynamical techniques can be difficult and very uncertain for small groups without large galaxy populations or even modest clusters with limited sampling. A workaround can be achieved by stacking clusters of similar richness, which is known to strongly correlate with cluster mass, to achieve larger samples to perform our analysis. This increases our signal-to-noise ratio and allows us to use the caustic technique to estimate total masses out to the turnaround radius of clusters. We present the caustic mass-optical richness relation for over 1700 clusters in the C4 sample using a kernal density estimator to identify the caustic surfaces in radius-redshift space. This differs from the method described in (Diaferio 99) which uses an adaptive kernal estimator; however, we calibrate to previous caustic mass results and find strong agreement in all final masses. In the future, our results will help provide cosmological constraints and assist in mass estimation of non-virialized high-z clusters where other techniques like weak lensing may struggle. This work is funded in part by the National Science Foundation Graduate Research Fellowship.

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