We propose an experiment to search for a new gauge boson A in $e^+e^-$ annihilation by means of a positron beam incident on a gas hydrogen target internal to the bypass at the VEPP-3 storage ring. The search method is based on a missing mass spectra in the reaction $e^+e^-rightarrow gamma$ A. It allows observation of the A signal independently of its decay modes and life time. The projected result of this experiment corresponds to an upper limit on the square of the coupling constant $varepsilon^2=3cdot 10^{-8}$ with a signal-to-noise ratio of two to one at an A mass of 5-20 MeV.
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