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 virtual.
On the Treatment of Neutrino Oscillations Without Resort to Weak Eigenstates
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abstract
We discuss neutrino oscillations in the framework of the quantum field theory without introducing the concept of neutrino weak eigenstates. The external particles are described by wave packets and the different mass eigenstate neutrinos propagate between the production and detection interactions, which are macroscopically localized in space-time. The time-averaged cross section, which is the measurable quantity in the usual experimental setting, is calculated. It is shown that only in the extremely relativistic limit the usual quantum mechanical oscillation probability can be factored out of the cross section.
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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 virtual.