AMiBA: scaling relations between the integrated Compton-y and X-ray derived temperature, mass, and luminosity
Chih-Wei Locutus Huang (1,2), Jiun-Huei Proty Wu (1,2), Paul T. P. Ho, (3,4), Patrick M. Koch (3), Yu-Wei Liao (1,2), Kai-Yang Lin (1,3), Guo-Chin, Liu (3,5), Sandor M. Molnar (3), Hiroaki Nishioka (3), Keiichi Umetsu (2,3),, Fu-Cheng Wang (1,2), Pablo Altamirano (3)

TL;DR
This study examines the relationship between the Sunyaev-Zel'dovich Effect and X-ray properties of galaxy clusters using AMiBA data, confirming self-similar models and enhancing understanding of cluster physics.
Contribution
It presents new scaling relations between SZE and X-ray properties of galaxy clusters based on AMiBA observations, supporting existing models and providing insights into cluster physics.
Findings
Consistent power-law indices with self-similar models
Confirmed the Y_{2500}-T_{e} and Y_{2500}-M_{2500} relations
Noted discrepancy in the Y_{2500}-L_X relation
Abstract
We investigate the scaling relations between the X-ray and the thermal Sunyaev-Zel'dovich Effect (SZE) 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 L_X 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}-L_X 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.
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