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A Simple General Treatment of Flavor Oscillations

Yuval Grossman·Harry J. Lipkin
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Abstract

A unique description avoiding confusion is presented for all flavor-oscillation experiments in which particles of a definite flavor are emitted from a localized source. The probability for finding a particle with the wrong flavor must vanish at the position of the source for all times. This condition requires flavor-time and flavor-energy factorizations which determine uniquely the flavor mixture observed at a detector in the oscillation region; i.e. where the overlaps between the wave packets for different mass eigenstates differ negligibly from 100\%. The translation of a ``gedanken'' experiments calculations (where measurement is perform in time) is done using the {\it group} velocity. Energy-momentum (frequency-wave number) and space-time descriptions are complementary, equally valid and give the same results. The two identical phase shifts obtained describe the same physics; adding them together to get a factor of two is double counting.

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Yuval Grossman, Harry J. Lipkin. 1996-06-13. A Simple General Treatment of Flavor Oscillations. https://arxiv.org/abs/hep-ph/9606315

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