F7.776> e e \Gamma scattering around 1 MeV neutrino energy we will determine the Weinberg angle with a precision of 5%, comparable to that achieved in high energy e \Gamma scattering. In contrast to previous experiments, we measure both the angle and the energy of the recoil electron. In the laboratory the electron is emitted into the forward hemisphere but the magnetic moment contribution increases with increasing recoil angle (and therefore with decreasing electron energy). Hence a low energy threshold for detecting the electron is essential. Our proposal assumed a threshold of 500 keV, determined by background. The background (isotropic and expected to be 4 events/day) can be measured with reactor on by looking at events with electrons emitted into the backward hemisphere - this is where the measurement of the recoil angle is particularly useful. Another advantage of measuring both the angle and the energy of th
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