The angular three-point function of galaxy clusters

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Catalogs, Fine Structure, Galactic Clusters, Method Of Moments, Error Analysis, Poisson Density Functions

Scientific paper

We estimate the three-point correlation function for samples of galaxy clusters identified from the Lick galaxy catalog at different density thresholds in order to test the ability of the biasing prescription to account for the different correlation properties of different hierarchy cosmic structures. We use two methods: the moment method and the direct counting of triplets. We find that the two methods give consistent estimates of the Q-values, while the associated uncertainties are rather different. In particular, larger errors are always obtained from the moment method. For clusters identified at the higher threshold levels of the underlying galaxy field we obtain Q about 0.5-0.8. A general trend is found for the Q-values to take smaller values as the height of the threshold decreases. This agrees with the expectation of biasing models, where non-Gaussianity arises as a threshold effect.

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