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: 50

Answer

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Work Step by Step

The Q-value is the mass energy of the reactants on the left side, minus the mass energy of the products on the right side. The first reaction is $p+p\rightarrow p+p+\pi^0$. $$Q=2m_pc^2-(2m_pc^2+m_{\pi^0}c^2)=- m_{\pi^0}c^2=-135.0MeV$$ The second reaction is $p+p\rightarrow p+n+\pi^+$. $$Q=2m_pc^2-(m_pc^2+m_nc^2+m_{\pi^+}c^2)= m_pc^2-m_nc^2-m_{\pi^+}c^2$$ $$938.3MeV-939.6MeV-139.6MeV=-140.9MeV$$
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