Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 44 - Quarks, Leptons, and the Big Bang - Problems - Page 1363: 11c

Answer

The $L_\mu$ conservation law is violated. The energy conservation law is violated.

Work Step by Step

The $\mu^+$ has $L_{\mu} = -1$ The $\pi^+$ has $L_{\mu} = 0$ The $\nu_\mu$ has $L_{\mu} = +1$ Therefore, the $L_\mu$ conservation law is violated. The $\mu^+$ has energy $105.7~MeV$ The $\pi^+$ has energy $139.6~MeV$ The $\nu_\mu$ has energy $1\times 10^{-7}~MeV$ Therefore, the energy conservation law is violated.
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