I Possibilty of flavor oscillation of an electron

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Neutrinos exhibit flavor oscillation due to their mass, allowing them to change between different states as they propagate. In contrast, electrons, being mass eigenstates of the free Hamiltonian, do not oscillate between flavors like neutrinos do. The discussion highlights the complexities of neutrino production and detection, emphasizing that neutrinos are created in flavor eigenstates and detected in a probabilistic manner. The conversation also touches on the theoretical possibility of electron-muon oscillation, though experimental evidence suggests that such behavior does not occur. Overall, the nuances of flavor oscillation and particle interactions are framed within the context of quantum field theory.
  • #51
And on page one of that paper it says: "Do e±, μ± and ± oscillate into each other? The answer to this question is the immediate ‘no’, the reason being that these charged leptons are mass eigenstates, i.e. states of definite mass. "
 
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  • #52
hilbert2 said:
ut how do you justify this claim?

Because it's not a claim, it's a definition. There are 3 leptonic mass eigenstates. We call the lightest one "electron", the middle one "muon", and the heavy one "tau".
 
  • #53
We could go the opposite way: Give the neutrino mass eigenstates flavor names and see the charged leptons as mixtures of these flavors. It would be really impractical, that's why we don't do it.
 

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