Q: is stimulated emission only relevant for electromagnetic interactions through photons, or is it also valid for beta-decay? Example: Imagine an amount of tritium decaying in a strong beam of anti-electron neutrinos, would the pattern of electron emission then be non-spherical? I realise any effect would be negligable, but is there an a-priori reason why the Standard Model would say "no"?
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For photons, stimulated emission arises as a result of their bosonic nature and an affinity for two photons to share the same quantum state (e.g. https://physics.stackexchange.com/a/65717/43351).
The anti-neutrinos are fermions, so if you "illuminated" the tritium with a strong enough beam you would have something like the opposite of stimulated emission. The Pauli Exclusion Principle would forbid the presence of two anti-neutrinos in the same quantum state.