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Problem 25 Easy Difficulty

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

Answer

(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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Top Physics 103 Educators
Andy C.

University of Michigan - Ann Arbor

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Liev B.

Numerade Educator

Marshall S.

University of Washington

Zachary M.

Hope College

Video Transcript

for this question. The first part area looking at the Mulan leapt on number 41st equation atop right. We have to find ways to you on that phone number. So you are left on number the You want itself? Hey, say lepton number off plus one and those that are not new One stay. Do not have any immune. Lepton number The neutrino for our leapt on number as he left a number off plus one right? The neutrino the only anti neutrinos or the anti me one has stepped on Mulan. Lepton number off, minus one. Right, so we can see that the number is conserved. That's good. My second part. Salty question. We're looking strangeness. So strangeness Ah would depend on whether there are any strange clock inside. D you quite like so far pie on here and put on they don't have any Strange Corp insights. So the strangeness is cereal. On the other hand, for the under the lumber portico actually has a strange court. One strange clock and this will give us a strange value off minus one de que on Has he and t strange my Auntie Strange cook and Andy Strange gives a strangeness. Very off plus one. I sort of total strange value is cereal. Right? So this is conserve from left inside to the right hand side.

National University of Singapore
Top Physics 103 Educators
Andy C.

University of Michigan - Ann Arbor

LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Zachary M.

Hope College