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On ultra-relativistic approximations, unobservable phases and other hand-waving in the derivation of the neutrino oscillation length

2009/01/05 by Jean-Michel Levy, Levy, Jean-Michel · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.0901.0408

11 pages, no figure

arxiv created 2009/01/05 · arxiv updated 2009/12/01

Abstract

A wrong derivation of the phase of a propagating massive particle which has repeatedly appeared during the last years has the advantage of leading once more to the important question of the phase difference between the mass eigenstates constitutive of an oscillating neutrino described in the plane wave formalism. Serious errors of principle are pointed at in a number of simple calculations and the oscillation length is derived in a way which allows to show that the standard result can suffer but minute variations in the ultrarelativistic case.

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