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(a) Determine the muon-lepton number in the reaction $\mu^{-} \rightarrow \mathrm{e}^{-}+\overline{\nu}_{\mathrm{e}}+\nu_{\mu} \cdot(\mathrm{b})$ Determine the value of strangeness in the reaction $\pi^{-}+\mathrm{p} \rightarrow \Lambda^{0}+\mathrm{K}^{0}$ .

(a)

The nuclear reaction is given as follows:

$$

\mu^{-} \rightarrow \mathrm{e}^{-}+\overline{v}_{\mathrm{e}}+v_{\mu}

$$

Count on the left for muon-lepton number:

$L_{\mu}=(+1)$

$L_{\mu}=0+0+1$

$=1$

Therefore, the muon lepton number is $L_{\mu}=1$

(b)

The nuclear reaction is given as follows:

$\pi^{-}+p \rightarrow \Lambda^{0}+K^{0}$

Count on the left for strangeness:

$S=0+0$

$$

=0

$$

$$

\begin{array}{l}{S=(-1)+(+1)} \\ {=0}\end{array}

$$

Therefore, the strangeness is zero.

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University of Michigan - Ann Arbor

Numerade Educator

University of Washington

Hope College

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National University of Singapore