Pith. sign in

REVIEW 4 cited by

The dispersion relation of the fast neutrino oscillation wave

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1901.01546 v2 pith:7LDOAZHD submitted 2019-01-06 hep-ph astro-ph.HEnucl-th

Changhao Yi , Lei Ma , Joshua D. Martin , Huaiyu Duan (UNM) This is my paper · ORCID
classification hep-phastro-ph.HEnucl-th
keywords neutrinowavemediumoscillationflavorbranchescomplexcritical
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

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

  1. Flavomons in Matter Gradients: Ray Tracing and Amplitude Evolution

    hep-ph 2026-04 unverdicted novelty 7.0 of 10

    Matter gradients slow but do not suppress neutrino-mass-induced flavor instabilities, so flavomon ray tracing is required instead of local stability analysis alone.

  2. Neutrino quantum kinetics for fast flavor conversion in a time-dependent environment

    astro-ph.HE 2026-08 unverdicted novelty 6.0 of 10

    Fast flavor conversion in a time-varying supernova background proceeds through three episodes and broadly agrees with static two-step model results.

  3. 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.

  4. Theory of neutrino slow flavor evolution. Part II. Space-time evolution of linear instabilities

    hep-ph 2025-01 conditional novelty 6.0 of 10

    All weak fast and slow neutrino flavor instabilities are convective, so they grow spatially along neutrino directions rather than locally in time.

Pith tools