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Problem 40 Medium Difficulty

Occasionally, high-energy muons collide with electrons and produce two neutrinos according to the reaction $\mu^{+}+\mathrm{e}^{-} \rightarrow$ 2$\nu .$ What kind of neutrinos are they?

Answer

$\overline{\nu}_{\mu}$ and $\nu_{e}$

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Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Andy C.

University of Michigan - Ann Arbor

Aspen F.

University of Sheffield

Meghan M.

McMaster University

Video Transcript

for this question. We're looking at the collision between and team U one and an electron producing some neutrinos. All right, we are not told. What kind of neutrinos stay are? No. And you know what? A two final. What I the neutrinos. We need to look at the conservation off, leapt on numbers. So there are two kinds off that time. Nonetheless, there must be conserve. In this case, that is the new one lepton number and the electron left on number. So there s first considered the your laptop number right on the left hand side. Immune leapt on number ISS minus one due to d and t you on right over here, which gives us a You are left on number off minus one. On the other hand, on the right hand side, we must also have a union lepton number off minus one. And this must come from an anti Mulan neutrino. And so one of it on one off the neutrinos being produced must be and anti u one neutrino. Now looking at the other conservation number, which is the conservation off the election left on number, the electron gives an election that kept on number off plus one On the right hand side, we must get an actual left on the both last one s will. And that must come from electron neutrino which gives us last one spell so it will be conserved. And so the other left on. I mean sorry. The other neutrino testing produce must be an electron neutrino.

National University of Singapore
Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Andy C.

University of Michigan - Ann Arbor

Aspen F.

University of Sheffield

Meghan M.

McMaster University