,Robustness of the Sunyaev-Zel'dovich Effect as a Measure of the Hubble Constant

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After inversing the x-ray surface brightness of the cooling flow cluster Abell 1689 through the isothermal β model,the isothermal double β model and the x-ray surface brightness distribution model derived from the universaldark matter density profile, we calculate the electron distribution and the Sunyaev-Zeldovich (SZ) effect of the cluster. The resulting temperature decrements, which are inversely proportional to the square root of Ho, arevery different for the three models, with an uncertainty of 15%. Thus, the SZ/x-ray route cannot be taken as aprecise measurement of H0 until further observations (e.g. From the satellite AXAF) constrain well the amount and distribution of cluster gas.
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