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Found in: Page 1363

### Fundamentals Of Physics

Book edition 10th Edition
Author(s) David Halliday
Pages 1328 pages
ISBN 9781118230718

# A positively charged pion decays by Eq. 44-7 : ${{\mathbit{\pi }}}^{{\mathbf{+}}}{\mathbf{\to }}{{\mathbit{\mu }}}^{{\mathbf{+}}}{\mathbf{+}}{\mathbit{\nu }}$What must be the decay scheme of the negatively charged pion?(Hint: The ${\mathbit{\pi }}$ is the antiparticle of the ${{\mathbit{\pi }}}^{{\mathbf{+}}}$ )

The decay scheme of the negatively charged pion is.

${\pi }^{-}\to {\mu }^{-}+\nu$

See the step by step solution

## Step 1: Conservation of charge

Conservation of Charge

According to the conservation of charge, the net electric charge or total charge of any isolated system is always conserved.

## Step 2: Finding which conservation law would be violated.

The decay scheme of pion is given as.

${\pi }^{+}\to {\mu }^{+}+\nu$

From the conservation of charge, we know that by reversing the sign of the pion means we must reverse the sign of the muon.

Since we are replacing the charged particles with their antiparticles so the decay scheme of the negatively charged pion is

${\pi }^{-}\to {\mu }^{-}+\nu$