Neutrino oscillations in supernovae: angular moments and fast instabilities

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.

7 pages, 3 figures

References in corpus (18)

• Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
• Collective neutrino flavor transitions in supernovae and the role of trajectory averaging
• Multiple Spectral Splits of Supernova Neutrinos
• Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach
• The multi-angle instability in dense neutrino systems
• Role of dense matter in collective supernova neutrino transformations
• Analysis of Collective Neutrino Flavor Transformation in Supernovae
• Fast neutrino flavor conversions near the supernova core with realistic flavor-dependent angular distributions
• Self-induced decoherence in dense neutrino gases
• Fast flavor conversions of supernova neutrinos: Classifying instabilities via dispersion relations
• Neutrino scattering and flavor transformation in supernovae
• 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
• Flavor instabilities in the neutrino line model
• The dispersion relation of the fast neutrino oscillation wave
• Neutrino propagation in media: Flavor-, helicity-, and pair correlations
• Damping the neutrino flavor pendulum by breaking homogeneity
• Multipole expansion method for supernova neutrino oscillations

Cited by in corpus (2)

• Fast Neutrino Flavor Conversion at Late Time
• Inference offers a metric to constrain dynamical models of neutrino flavor transformation