Neutrino oscillations and the effect of the finite lifetime of the neutrino source
Walter Grimus, Subhendra Mohanty, Peter Stockinger
Abstract
We consider a neutrino source at rest and discuss a condition for the existence of neutrino oscillations which derives from the finite lifetime τS 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 τS. In the present accelerator experiments the effect of τS can be neglected. We discuss some experimental situations where the source lifetime becomes relevant in the oscillation formula.
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