Fast neutrino flavor instability and neutrino flavor lepton number crossings

Abstract

In this paper, we show the equivalency between the existence of fast neutrino flavor instability and that of neutrino flavor lepton number (NFLN) crossings, which indicates that an NFLN angular distribution takes both signs. The veracity of this proposition has been uncertain and sometimes controversial despite its indispensability in the flavor evolutions of dense neutrinos. This study clarifies that the occurrence of an NFLN crossing is both necessary and sufficient for fast instability.

7 pages, 2 figures, accepted for publication in PRD

References in corpus (26)

• Multiple Spectral Splits of Supernova Neutrinos
• Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach
• The multi-angle instability in dense neutrino systems
• Neutrino oscillations in supernovae: angular moments and fast instabilities
• 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
• Fast Neutrino Flavor Instability in the Neutron-star Convection Layer of Three-dimensional Supernova Models
• 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
• The dispersion relation of the fast neutrino oscillation wave
• Fast oscillations, collisionless relaxation, and spurious evolution of supernova neutrino flavor
• A change of direction in pairwise neutrino conversion physics: The effect of collisions
• Fast flavor conversions in supernovae: the rise of mu-tau neutrinos
• Fast Neutrino Flavor Conversion at Late Time
• Fast neutrino flavor conversions in one-dimensional core-collapse supernova models with and without muon creation
• Liouville equations for neutrino distribution matrices
• Spurious instabilities in multiangle simulations of collective flavor conversion
• Fast Flavor Oscillations of Astrophysical Neutrinos with $1,2,\dots ,\infty$ Crossings
• Inference of neutrino flavor evolution through data assimilation and neural differential equations
• Spatiotemporal linear instability analysis of collective neutrino flavor conversion in 4-dimensional spacetime

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• Neutrino Flavor Conversions in High-Density Astrophysical and Cosmological Environments
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• Neutrino Flavor Conversion, Advection, and Collisions: Towards the Full Solution
• Enhancement or damping of fast neutrino flavor conversions due to collisions
• A Systematic Study on the Resonance in Collisional Neutrino Flavor Instability
• Flavor solitons in dense neutrino gases
• Collisional and Fast Neutrino Flavor Instabilities in Two-dimensional Core-collapse Supernova Simulation with Boltzmann Neutrino Transport
• Neutrino Oscillations in Core-Collapse Supernovae and Neutron Star Mergers
• Universality of the Neutrino Collisional Flavor Instability in Core Collapse Supernovae
• New method for detecting fast neutrino flavor conversions in core-collapse supernova models with two-moment neutrino transport
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• Robust integration of fast flavor conversions in classical neutrino transport
• Applications of Machine Learning to Detecting Fast Neutrino Flavor Instabilities in Core-Collapse Supernova and Neutron Star Merger Models
• Symmetry breaking induced by pairwise conversion of neutrinos in compact sources
• Theory of neutrino slow flavor evolution. Part I. Homogeneous medium
• Neutrino many-body correlations
• Flavor conversions with energy-dependent neutrino emission and absorption
• Symmetry and bipolar motion in collective neutrino flavor oscillations
• Neutrino Flavor Transformation in Neutron Star Mergers
• Collective flavor conversions are interactions of neutrinos with quantized flavor waves
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• Implications of conservation laws and ergodicity for neutrino flavor instability
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• Impact of Neutrino Flavor Conversions on Neutron Star Merger Dynamics, Ejecta, Nucleosynthesis, and Multi-Messenger Signals
• Three-flavor, Full Momentum Space Neutrino Spin Oscillations in Neutron Star Mergers
• Electron-neutrino lepton number crossings: Variations with the supernova core physics
• Fast flavor conversion of neutrinos in presence of matter bulk velocity
• Sufficient and Necessary Conditions for Collective Neutrino Instability: Fast, Slow, and Mixed
• Where, when and why: occurrence of fast-pairwise collective neutrino oscillation in three-dimensional core-collapse supernova models
• Single-wave solutions of the neutrino fast flavor system. Part I. Mechanical properties
• Neutrino transport with Monte Carlo method: II. Quantum Kinetic Equations
• Neutrinos in colliding neutron stars and black holes
• Asymmetric emissions of neutrinos in the cooling of rotating proto-neutron stars
• Occurrence of fast neutrino flavor conversions in QCD phase-transition supernovae
• Neutrino flavor instabilities in neutron star mergers with moment transport: Slow, fast, and collisional modes
• Elaborating the Ultimate Fate of Fast Collective Neutrino Flavor Oscillations
• Neutrino quantum kinetics in three flavors
• Supernova $\nu$ flavour conversions in DUNE: the slow, the fast and the standard
• Single-wave solutions of the neutrino fast flavor system. Part II. Weak instabilities and their resonant behavior