Precise and absolute beam polarization measurements are critical for the RHIC spin physics program. Because all experimental spin-dependent results are normalized by beam polarization, the normalization uncertainty contributes directly to final physics uncertainties. We aimed to perform the beam polarization measurement to an accuracy of . The absolute polarimeter consists of Polarized Atomic Hydrogen Gas Jet Target and left-right pairs of silicon strip detectors and was installed in the RHIC-ring in 2004. This system features elastic scattering in the Coulomb nuclear interference (CNI) region. Precise measurements of the analyzing power of this process has allowed us to achieve in 2005 for the first long spin-physics run. In this report, we describe the entire set up and performance of the system. The procedure of beam polarization measurement and analysis results from 2004-2005 are described. Physics topics of in the CNI region (four-momentum transfer squared ) are also discussed. We point out the current issues and expected optimum accuracy in 2006 and the future.

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