AMiBA: SCALING RELATIONS BETWEEN THE INTEGRATED COMPTON-y AND X-RAY-DERIVED TEMPERATURE, MASS, AND LUMINOSITY

We investigate the scaling relations between the X-ray and the thermal Sunyaev-Zel'dovich effect properties of clusters of galaxies, using data taken during 2007 by the Y. T. Lee Array for Microwave Background Anisotropy (AMiBA) at 94 GHz for the six clusters A1689, A1995, A2142, A2163, A2261, and A2390. The scaling relations relate the integrated Compton-y parameter Y 2500 to the X-ray-derived gas temperature T e, total mass M 2500, and bolometric luminosity LX within r 2500. Our results for the power-law index and normalization are both consistent with the self-similar model and other studies in the literature except for the Y 2500-LX relation, for which a physical explanation is given though further investigation may be still needed. Our results not only provide confidence for the AMiBA project but also support our understanding of galaxy clusters.