3.15 A pion traveling at speed v decays into a muon and a neutrino, ௠−→ µ¯ + V. If the neutrino emerges at 90° to the original pion direction, at what angle does the μ come off? [Answer: tane m²/m²)/(28y²).] = (1

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**Problem 3.15**

A pion traveling at speed \( v \) decays into a muon and a neutrino, \( \pi^- \rightarrow \mu^- + \overline{\nu}_\mu \). If the neutrino emerges at 90° to the original pion direction, at what angle does the muon come off? 

**Answer:** 
\[
\tan \theta = \frac{(1 - m_\mu^2 / m_\pi^2)}{(2 \beta \gamma^2)}
\]
Transcribed Image Text:**Problem 3.15** A pion traveling at speed \( v \) decays into a muon and a neutrino, \( \pi^- \rightarrow \mu^- + \overline{\nu}_\mu \). If the neutrino emerges at 90° to the original pion direction, at what angle does the muon come off? **Answer:** \[ \tan \theta = \frac{(1 - m_\mu^2 / m_\pi^2)}{(2 \beta \gamma^2)} \]
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