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The Homestake experiment measured the incoming electron neutrino flux via

$$\nu_{e}+ Cl^{37} \rightarrow Ar^{37} +e^{-}$$

Why does this reaction not apply to the other neutrino flavours? i.e. what disallows

$$\nu_{\mu}+ Cl^{37} \rightarrow Ar^{37} +\mu^{-}$$

$$\nu_{\tau}+ Cl^{37} \rightarrow Ar^{37}+ \tau^{-}$$

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Solar neutrinos have energies under 10 MeV. There isn't enough energy to make heavy leptons.

That's really the whole story.

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