Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 32 - Elementary Particles - General Problems - Page 946: 48

Answer

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Work Step by Step

From Table 32-2, we see that the $\pi^-$ is the antiparticle for the $\pi^+$. The equivalent decay is $\pi^- \rightarrow \mu^- + \overline{\nu}_{\mu}$. Since we just performed an "anti" on a valid reaction, we expect that all conservation laws will be satisfied, but we check them here for the sake of completeness. Conservation of charge: $-1 = (-1)+0$. Conservation of strangeness: $0= 0 + 0$. Conservation of baryon number: $0=0+0$. Conservation of lepton number: $0=1-1$. Conservation of spin: $0=\frac{1}{2} -\frac{1}{2}$.
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