Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach

Abstract

Collective pair conversion ${\nu }_e{\bar{\nu }}_e\leftrightarrow {\nu }_x{\bar{\nu }}_x$ by forward scattering, where $x=\mu$ or $\tau$, may be generic for supernova neutrino transport. Depending on the local angular intensity of the electron lepton number carried by neutrinos, the conversion rate is "fast," i.e., of the order of $\sqrt{2}{G}_{\mathrm{F}}(n_{{\nu }_e}-n_{{\bar{\nu }}_e})\gg \Delta m_{\mathrm{atm}}^2/2E$. We present a novel approach to understand these phenomena: A dispersion relation for the frequency and wave number $(\Omega ,\mathbf{K})$ of disturbances in the mean field of ${\nu }_e{\nu }_x$ flavor coherence. Run-away solutions occur in "dispersion gaps," i.e., in "forbidden" intervals of $\Omega$ and/or $\mathbf{K}$ where propagating plane waves do not exist. We stress that the actual solutions also depend on the initial and/or boundary conditions which need to be further investigated.

6 pages, 3 figures. Minor changes in the text, references added and discussion of figure 3 extended. Matches published PRL version

References in corpus (14)

• Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
• Multiple Spectral Splits of Supernova Neutrinos
• The multi-angle instability in dense neutrino systems
• Fast neutrino flavor conversions near the supernova core with realistic flavor-dependent angular distributions
• Self-induced decoherence in dense neutrino gases
• Neutrino scattering and flavor transformation in supernovae
• Flavor instabilities in the neutrino line model
• Supernova neutrino halo and the suppression of self-induced flavor conversion
• Low-energy spectral features of supernova (anti)neutrinos in inverted hierarchy
• Liouville equations for neutrino distribution matrices
• Damping the neutrino flavor pendulum by breaking homogeneity
• Spurious instabilities in multiangle simulations of collective flavor conversion
• Chaotic flavor evolution in an interacting neutrino gas
• Stimulated neutrino transformation through turbulence on a changing density profile and application to supernovae

Cited by in corpus (28)

• Neutrino oscillations in supernovae: angular moments and fast instabilities
• Imprints of neutrino-pair flavor conversions on nucleosynthesis in ejecta from neutron-star merger remnants
• Fast flavor conversions of supernova neutrinos: Classifying instabilities via dispersion relations
• Fast collective neutrino oscillations inside the neutrino sphere in core-collapse supernovae
• A new possibility of the fast neutrino-flavor conversion in the pre-shock region of core-collapse supernova
• Fast Neutrino Flavor Conversion Modes in Multidimensional Core-collapse Supernova Models: the Role of the Asymmetric Neutrino Distributions
• Fast-pairwise collective neutrino oscillations associated with asymmetric neutrino emissions in core-collapse supernova
• Linear Analysis of Fast-Pairwise Collective Neutrino Oscillations in Core-Collapse Supernovae based on the Results of Boltzmann Simulations
• Fast flavor oscillations in dense neutrino media with collisions
• On the characteristics of fast neutrino flavor instabilities in three-dimensional core-collapse supernova models
• Collective fast neutrino flavor conversions in a 1D box: Initial condition and long-term evolution
• The dispersion relation of the fast neutrino oscillation wave
• A change of direction in pairwise neutrino conversion physics: The effect of collisions
• Neutrino Flavor Conversions in High-Density Astrophysical and Cosmological Environments
• Fast Neutrino Flavor Conversion at Late Time
• Neutrino Fast Flavor Pendulum. Part 2: Collisional Damping
• On the Impact of Neutrino Decays on the Supernova Neutronization-Burst Flux
• New method for detecting fast neutrino flavor conversions in core-collapse supernova models with two-moment neutrino transport
• Robust measurement of supernova ${\nu }_e$ spectra with future neutrino detectors
• A model-independent approach to the reconstruction of multi-flavor supernova neutrino energy spectra
• Perturbing Fast Neutrino Flavor Conversion
• Applications of Machine Learning to Detecting Fast Neutrino Flavor Instabilities in Core-Collapse Supernova and Neutron Star Merger Models
• Three-flavor collective neutrino conversions with multi-azimuthal-angle instability in an electron-capture supernova model
• Inference offers a metric to constrain dynamical models of neutrino flavor transformation
• Symmetry breaking due to multi-angle matter-neutrino resonance in neutron star merger remnants
• Fast flavor conversion of neutrinos in presence of matter bulk velocity
• Where, when and why: occurrence of fast-pairwise collective neutrino oscillation in three-dimensional core-collapse supernova models
• Fast Neutrino Conversion in Hydrodynamic Simulations of Neutrino-Cooled Accretion Disks