Remarks upon the mass oscillation formulas

Abstract

The standard formula for mass oscillations is often based upon the approximation $t\approx L$ and the hypotheses that neutrinos have been produced with a definite momentum $p$ or, alternatively, with definite energy $E$. This represents an inconsistent scenario and gives an unjustified reduction by a factor of two in the mass oscillation formulas. Such an ambiguity has been a matter of speculations and mistakes in discussing flavour oscillations. We present a series of results and show how the problem of the factor two in the oscillation length is not a consequence of gedanken experiments, i.e. oscillations in time. The common velocity scenario yields the maximum simplicity.

9 pages, AMS-TeX

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• Neutrino physics
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• CP-violation in oscillations of three neutrino generations: the case of degenerate masses
• REPLY TO HEP-PH/0211241 "On the extra factor of two in the phase of neutrino oscillations"