Abstract
A method for measuring the average longitudinal polarization of the electron beam at an electron-positron collider operating near the J/ψ resonance is proposed. The method utilizes the differential cross-section of J/psi to left[Lambda to p{pi}^{-}right]left[Lambda to overline{p}{pi}^{+}right] decay. It can be used to measure the average longitudinal polarization of electrons with the statistical precision better than 10−3 at a Super Charm-Tau factory operating at the luminosity of 1035 cm−2s−1. The method is discussed in the context of the weak mixing angle measurement in the same experiment.
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