Neutrino oscillations and the effect of the finite lifetime of the neutrino source

Details Neutrino oscillations and the effect of the finite lifetime of the neutrino source Neutrino oscillations and the effect of the finite lifetime of the neutrino source

1999-04-09

arxiv.org/abs/hep-ph/9904285v1

Phys.Rev. D61 (2000) 033001

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages latex file with 2 figures

Scientific paper

10.1103/PhysRevD.61.033001

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.

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