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Neutrino oscillations and the effect of the finite lifetime of the neutrino source
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Neutrino oscillations and the effect of the finite lifetime of the neutrino source
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We consider a neutrino source at rest and discuss a condition for the existence of neutrino oscillations which derives from the finite lifetime $\tau_S$ of the neutrino source particle. This condition is present if the neutrino source is a free particle such that its wave function is non-stationary. For a Gaussian wave function and with some simplifying assumptions, we study the modification of the usual oscillation probability stemming from $\tau_S$. In the present accelerator experiments the effect of $\tau_S$ can be neglected. We discuss some experimental situations where the source lifetime becomes relevant in the oscillation formula.
Forward citations
Cited by 2 Pith papers
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Real and Virtual Propagation in Neutrino Oscillations
In Gaussian wave-packet QFT, flavor oscillations switch on only after a propagation-time threshold set by the wave-packet energy uncertainty and the intermediate particle's decay width; below it the neutrino is purely...
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Real and Virtual Propagation in Neutrino Oscillations
Derives an extended flavor-changing amplitude showing oscillations require propagation time above a threshold set by energy uncertainty and decay width, distinguishing real from virtual propagation.
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