Towards a unique formula for neutrino oscillations in vacuum

Details Towards a unique formula for neutrino oscillations in vacuum Towards a unique formula for neutrino oscillations in vacuum

2002-02-07

arxiv.org/abs/hep-ph/0202068v2

Phys.Rev. D66 (2002) 013003

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, 1 figure; the proof that plane wave oscillations do no exist is extended to stationary models; the influence of disp

Scientific paper

10.1103/PhysRevD.66.013003

We show that all correct results obtained by applying quantum field theory to neutrino oscillations can be understood in terms of a single oscillation formula. In particular, the model proposed by Grimus and Stockinger is shown to be a subcase of the model proposed by Giunti, Kim and Lee, while the new oscillation formulas proposed by Ioannisian and Pilaftsis and by Shtanov are disproved. We derive an oscillation formula without making any relativistic assumption and taking into account the dispersion, so that the result is valid for both neutrinos and mesons. This unification gives a stronger phenomenological basis to the neutrino oscillation formula. We also prove that the coherence length can be increased without bound by more accurate energy measurements. Finally, we insist on the wave packet interpretation of the quantum field treatments of oscillations.

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