The dispersion relation of the fast neutrino oscillation wave
arXiv:1901.01546 · doi:10.1103/PhysRevD.99.063005
Abstract
A dense neutrino medium can support flavor oscillation waves which are coherent among different momentum modes of the neutrinos. The dispersion relation (DR) branches of such a wave with complex frequencies and/or wave numbers can lead to the exponential growth of the wave amplitude which in turn will engender a collective flavor transformation in the neutrino medium. In this work we propose that the complex DR branches of the neutrino oscillation wave should be bound by the critical points of the DR. We demonstrate how this theory can be applied to the neutrino medium with an (approximate) axial symmetry about the propagation direction of the neutrino oscillation wave. We also show how the flavor instabilities in this medium can be identified by tracing the critical points of the DR as the electron lepton number distribution of the neutrino medium is changed continuously.
11 pages, 4 figures. Small textual changes for clarification
References in corpus (6)
- Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach
- Coherent Development of Neutrino Flavor in the Supernova Environment
- Fast neutrino flavor conversions near the supernova core with realistic flavor-dependent angular distributions
- Fast flavor conversions of supernova neutrinos: Classifying instabilities via dispersion relations
- Flavor instabilities in the neutrino line model
- Damping the neutrino flavor pendulum by breaking homogeneity
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- Single-wave solutions of the neutrino fast flavor system. Part II. Weak instabilities and their resonant behavior
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