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Problem 38 Hard Difficulty

Name at least one conservation law that prevents each of the following reactions from occurring.
$$
\begin{array}{l}{\text { (a) } \pi^{-}+\mathrm{p} \rightarrow \Sigma^{+}+\pi^{0}} \\ {\text { (b) } \mu^{-} \quad \rightarrow \quad \pi^{-}+\nu_{\mathrm{c}}} \\ {\text { (c) } \mathrm{p} \rightarrow \pi^{+}+\pi^{+}+\pi^{-}}\end{array}
$$

Answer

(a) Charge is not conserved.
(b) $L_{\mu}$ and $L_{e} $
are not conserved
(c) Baryon number is not conserved.

Discussion

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Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Andy C.

University of Michigan - Ann Arbor

LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Video Transcript

this guy should be given the tree following infections do not occur. So he must actually fight some off the conservation goals. And so we're gonna take a look at what about the conservation? Lost it the fight. And we're gonna go through the list off. Conservation laws for sleep is church. Next one, it'll get burial number. And then lastly, maybe left or number, right? If it involves left taunts. Right. And so first off, the first equation, I'm gonna look. A charge on the 11 side is minus from deep I he's on and plus plus one from the proton. So total off charged. Zero money, right. Every single plant spare on which is plus one and Amy's on which is neutral until the church is not conserved right from left inside to Brian site. And so it violates TV conservation charge. And that's why it doesn't cook. What do you have a equation moving on? Look at the church first. So they charged us minus one on both sites. So it's called deserved for the burial number, right? There is no Barents involved. So zero on both sides. However, for the elect on number, give you one on the left as everyone. That phone number off, plus one? No, the right. You have no me once or new New one new Geno's. So the captain number is zero on the right hand side. And so in your left on number, it's not concept, right? This Mulan is in electron. You want so electron neutrino Sorry, if you know and so it only has an electron electron leapt on number and not you on that number. All right, so that it's not conserved as well in this case. So the left on numbers are not conserved and that is why destruction doesn't proceed. What you lost in creation. Look at church that it's plus one left and this gives us pass one as well. When he right for the barrel number, However, it is plus one for the proton, but only right inside this all me zones. And so they all have charitable off. So we see that the bear a number is not conserved and hence the direction cannot proceed because off you violation off the burial on conservation law

National University of Singapore
Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Andy C.

University of Michigan - Ann Arbor

LB
Liev B.

Numerade Educator

Marshall S.

University of Washington