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Bimodal Coherence in Dense Self-Interacting Neutrino Gases

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arxiv hep-ph/9604341 v2 pith:65ZQKB2C submitted 1996-04-16 hep-ph astro-phhep-th

classification hep-phastro-phhep-th
keywords neutrinosolutionsbehaviorbimodalchemicaldenseearlyequations
verification ladder T0 review T1 audit T2 compute T3 formal

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Analytical solutions are obtained to the nonlinear equations describing neutrino oscillations when explicit neutrino-antineutrino asymmetries are present. Such a system occurs in the early Universe if neutrinos have a non-zero chemical potential. Solutions to the equations lead to a new type of coherent behavior governed by two modes. These bimodal solutions provide new insights into dense neutrino gases and into neutrino oscillations in the early Universe, thereby allowing one to surmise the flavor behavior of neutrinos with a non-zero chemical potential.

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Forward citations

Cited by 8 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. 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).

  3. Neutrino-antineutrino superfluidity

    hep-ph 2026-05 unverdicted novelty 7.0 of 10

    Pairing instabilities in neutrino plasmas arise only with occupation number discontinuities and are spurious artifacts of energy discretization that disappear in the continuum.

  4. Solar-System Abundances of $p$-Nuclides Probe Collective Neutrino Oscillations in Supernovae

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Nearby neutrino flavor conversion in a supernova can boost νp-process yields of p-nuclides like 92Mo and 92Nb by up to two orders of magnitude, matching solar abundances when conversion starts within ~10 km of the pro...

  5. 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.

  6. 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.

  7. 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.

  8. Neutrino mass ordering from the next Galactic supernova at DUNE, HK, and JUNO

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    Neutronization burst and accretion-phase rise-time observables from a 10 kpc core-collapse supernova enable DUNE, HK and JUNO to discriminate neutrino mass ordering at 3-6 sigma using multiple progenitor simulations.

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