The kinematic properties of two-body decay near τ threshold are studied according to the special capacity of the BEPCⅡ accelerator and the BESⅢ detector. Explicitly presented are the transformations of energy and momentum of hadronic particles between different reference frames, and the corresponding distributions. A brand new method is proposed to obtain the energy spread of the accelerator by fitting the energy distribution of hadron from τ semi-leptonic decays.
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