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Mentor  The rest-mass energy of the Z is about 91 GeV = 91000 MeV. If you can find a $\beta^{-}$ emitter and a $\beta^{+}$ emitter with decay energies that add to give 91000 MeV, I will be very surprised. Beta decay energies are generally only a few MeV. I don't know what the maximum is, but I'd be surprised if it's larger than 10 MeV.
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