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Fast neutrino flavor instability and neutrino flavor lepton number crossings
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In this paper, we show the equivalency between the existence of fast neutrino flavor instability and that of neutrino flavor lepton number (NFLN) crossings, which indicates that an NFLN angular distribution takes both signs. The veracity of this proposition has been uncertain and sometimes controversial despite its indispensability in the flavor evolutions of dense neutrinos. This study clarifies that the occurrence of an NFLN crossing is both necessary and sufficient for fast instability.
Forward citations
Cited by 4 Pith papers
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Single-wave solutions of the neutrino fast flavor system. Part II. Weak instabilities and their resonant behavior
For shallow angular crossings, the nonlinear evolution of a single-wave fast flavor instability is a flavor pendulum whose amplitude and period are set by the linear growth rate.
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Single-wave solutions of the neutrino fast flavor system. Part I. Mechanical properties
Single-wave neutrino flavor solutions form a non-integrable spin system without Gaudin invariants, so an exact flavor pendulum exists only for two beams and does not extend to continuous angle distributions.
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Electron-neutrino lepton number crossings: Variations with the supernova core physics
In a suite of 12 supernova models, electron-neutrino lepton number crossings appear at larger radii when proto-neutron star convection is included and at smaller radii when muon production is included.
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Comparative Testing of Subgrid Models for Fast Neutrino Flavor Conversions in Core-collapse Supernova Simulations
A 1D supernova simulation with four-species BGK subgrid modeling shows that three-species assumptions overestimate flavor conversion and that semi-implicit time integration is the most reliable.
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