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- W3110741594 abstract "The phenomenology of massive neutrinos -- flavour mixing in the lepton sector causing oscillations between different neutrino-types along their propagation over macroscopic distances in vacuum -- aims at relating observable quantities (oscillation frequency or, equivalently, oscillation length) to the neutrino properties: mixing angles $theta_{ij}$ and mass-squared differences $Delta m_{ij}^2$. Calculation of the probabilities for a given neutrino-type either to survive or to mutate into another type, as functions of $p$ and travelling distance $L$, are properly based on wave-packet models of varying complexity. Approximations neglecting subtle effects like decoherence result in the standard oscillation formulae with terms proportional to $sin^2(Delta m_{ij}^2 L / 4 p)$. The same result may also be derived by a simple plane-wave model as shown in most textbooks. However, those approaches rely on unphysical a-priory assumptions: either equal energy or equal velocity or equal momentum in the phases of different mass eigenstates -- which are refuted elsewhere. In addition, some assume tacitly that interference occurs at time $t = L$. This study re-examines the plane-wave model. No unphysical assumption is necessary for deriving the standard formulae: a heuristic approach relies only on carefully defining interference at time $t = L / beta$, and is justified by coherence arguments based in a qualitative way on wave-packets." @default.
- W3110741594 created "2020-12-21" @default.
- W3110741594 creator A5032346280 @default.
- W3110741594 date "2020-12-10" @default.
- W3110741594 modified "2023-09-27" @default.
- W3110741594 title "Plane-wave model of neutrino oscillations revisited" @default.
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- W3110741594 hasPublicationYear "2020" @default.
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