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N-mode coherence in collective neutrino oscillations

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arxiv 1103.2891 v4 pith:GCB5NIFB submitted 2011-03-15 hep-ph astro-ph.SR

Georg G. Raffelt This is my paper · ORCID
classification hep-phastro-ph.SR
keywords coherenceneutrinooscillationscollectivedensityensemblemodesanalytic
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We study two-flavor neutrino oscillations in a homogeneous and isotropic ensemble under the influence of neutrino-neutrino interactions. For any density there exist forms of collective oscillations that show self-maintained coherence. They can be classified by a number N of linearly independent functions that describe all neutrino modes as linear superpositions. What is more, the dynamics is equivalent to another ensemble with the same effective density, consisting of N modes with discrete energies E_i with i=1, ..., N. We use this equivalence to derive the analytic solution for two-mode (bimodal) coherence, relevant for spectral-split formation in supernova neutrinos.

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Cited by 4 Pith papers

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

  1. Theory of neutrino slow flavor evolution. Part I. Homogeneous medium

    hep-ph 2024-12 accept novelty 8.0 of 10

    Slow neutrino flavor instabilities split into a new resonant small-scale branch with growth rate ~omega_E/epsilon and the familiar non-resonant branch with the traditional scale 1/sqrt(omega_E mu).

  2. 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.

  3. Pauli blocking: probing beyond-mean-field effects in neutrino flavor evolution

    astro-ph.HE 2024-12 conditional novelty 6.0 of 10

    Adding heuristic Pauli-blocking factors to neutrino self-interactions shifts fast flavor stability regions: two instabilities weaken, and one stable case becomes unstable.

  4. Fast Flavor Pendulum: Instability Condition

    hep-ph 2024-12 conditional novelty 6.0 of 10

    The Nyquist criterion for homogeneous fast flavor instability is corrected to N = W - Ns/2, where W is the subluminal winding number and Ns counts real superluminal solutions.

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