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Neutrino oscillations in supernovae: angular moments and fast instabilities

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arxiv 1910.05682 v2 pith:6BAG4AJI submitted 2019-10-13 hep-ph astro-ph.HE

Lucas Johns , Hiroki Nagakura , George M. Fuller , Adam Burrows This is my paper · ORCID
classification hep-phastro-ph.HE
keywords instabilitiesneutrinooscillationsangularcollectivefastsupernovaeaccounts
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abstract

Recent theoretical work indicates that the neutrino radiation in core-collapse supernovae may be susceptible to flavor instabilities that set in far behind the shock, grow extremely rapidly, and have the potential to profoundly affect supernova dynamics and composition. Here we analyze the nonlinear collective oscillations that are prefigured by these instabilities. We demonstrate that a zero-crossing in $n_{\nu_e} - n_{\bar{\nu}_e}$ as a function of propagation angle is not sufficient to generate instability. Our analysis accounts for this fact and allows us to formulate complementary criteria. Using Fornax simulation data, we show that fast collective oscillations qualitatively depend on how forward-peaked the neutrino angular distributions are.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Collective flavor conversions are interactions of neutrinos with quantized flavor waves

    hep-ph 2025-02 conditional novelty 9.0 of 10

    Neutrino fast flavor instabilities are equivalent to stimulated emission of flavomons, quantum flavor waves, whose kinetic equations reproduce the linear growth rate and extend naturally beyond it.

  2. Single-wave solutions of the neutrino fast flavor system. Part II. Weak instabilities and their resonant behavior

    hep-ph 2026-01 conditional novelty 6.0 of 10

    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.

  3. Single-wave solutions of the neutrino fast flavor system. Part I. Mechanical properties

    hep-ph 2026-01 conditional novelty 6.0 of 10

    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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