A Model Prediction of X-Ray Luminosity and Temperature Function of Galaxy Clusters Considering the Formation Epoch Distribution

Physics

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Scientific paper

We investigate statistical properties of galaxy clusters in the context of hierarchical clustering scenario. Using the formalism which discriminates between major merger and accretion, the epoch of a cluster formation is identified with that of the last major merger. Since tiny mass accretion after the formation does not much affect the core structure of clusters, the properties of X-ray emission from clusters are determined by the total mass and density at their formation time. Under these assumptions, we calculate X-ray luminosity and temperature functions of galaxy clusters. Since the simple scaling model in which the gas temperature is equal to the virial temperature fails to reproduce the observed luminosity-temperature relation, we also consider a model which takes the effects of preheating into account. The preheating model reproduces the observations much better.

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