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Question
The primary decay mode for the negative pion is $$\pi^- \to \mu^- + \bar{\nu}_\mu$$. (a) What is the energy release in MeV in this decay? (b) Using conservation of momentum, how much energy does each of the decay products receive, given the $\pi^-$ is at rest when it decays? You may assume the muon antineutrino is massless and has momentum $p = \dfrac{E}{c}$, just like a photon.
1. $33.9 \textrm{ MeV}$
2. $KE_\mu = 4.1 \textrm{ MeV}$, $E_{\bar{\nu}_\mu} = 29.8 \textrm{ MeV}$
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