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 1364: 16a

Answer

To examine conservation laws associated with proposed reaction $$\mathrm{p}+\overline{\mathrm{p}} \rightarrow \Lambda^{0}+\Sigma^{+}+e^{-},$$ we make use of particle properties found in Tables $44-3$ and $44-4 $ with $$q(\mathrm{p})=+1, q(\overline{\mathrm{p}})=-1,$$ $$ q\left(\Lambda^{0}\right)=0, \quad q\left(\Sigma^{+}\right)=+1,$$ $$ \text { and } q\left(e^{-}\right)=-1,$$ we have $1+(-1)=0+1+(-1) . $ $$\text { Thus, the process conserves charge. } $$

Work Step by Step

To examine conservation laws associated with proposed reaction $$\mathrm{p}+\overline{\mathrm{p}} \rightarrow \Lambda^{0}+\Sigma^{+}+e^{-},$$ we make use of particle properties found in Tables $44-3$ and $44-4 $ with $$q(\mathrm{p})=+1, q(\overline{\mathrm{p}})=-1,$$ $$ q\left(\Lambda^{0}\right)=0, \quad q\left(\Sigma^{+}\right)=+1,$$ $$ \text { and } q\left(e^{-}\right)=-1,$$ we have $1+(-1)=0+1+(-1) . $ $$\text { Thus, the process conserves charge. } $$
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