Question
Give the $\pi^{+}$and $\mu^{+}$decay processes. List the possible decay modes of the $\tau^{-}$lepton (the $\tau$ is the third lepton in the sequence $e, \mu, \tau$ with a mass $m_{\tau}=1.8 \mathrm{GeV}$ ).
Step 1
First, let's consider the decay processes for the $\pi^{+}$ and $\mu^{+}$ particles. Show more…
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A charged pion can decay either into a muon or an elecThe two decay modes of a $\pi^{-}$ are: $\pi^{-} \rightarrow \mu^{-}+\bar{v}_{\mu}$ and $\pi^{-} \rightarrow \mathrm{e}^{-}+\bar{\nu}_{\mathrm{e}} .$ Write the two decay modes for the $\pi^{+}$ [ Hint: $\pi^{+}$ is the antiparticle of $\pi^{-} .$ Replace each particle in the decay reaction with its corresponding antiparticle.]
The decay mode of the positive tau is $\tau^{+} \rightarrow \mu^{+}+\nu_{\mu}+\overline{\nu}_{\tau}$ (a) What energy is released? (b) Verify that charge and lepton family numbers are conserved. decay products of the $\tau^{+}$ are the antiparticles of those in the decay of the $\tau^{-}$ given in the text.
A charged pion can decay either into a muon or an electron. The two decay modes of a $\pi^{-}$ are: $\pi^{-} \rightarrow \mu^{-}+\bar{v}_{\mu}$ and $\pi^{-} \rightarrow \mathrm{e}^{-}+\bar{v}_{\mathrm{e}} .$ Write the two decay modes for the $\pi^{+}$ [Hint: $\pi^{+}$ is the antiparticle of $\pi^{-} .$ Replace each particle in the decay reaction with its corresponding antiparticle.]
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