Flavor isospin waves in one-dimensional axisymmetric neutrino gases

Abstract

Flavor oscillations can occur on very short spatial and temporal scales in the dense neutrino media in a core-collapse supernova (CCSN) or binary neutron star merger (BNSM) event. Although the dispersion relations (DRs) of the fast neutrino oscillations can be obtained by linearizing the equations of motion (EoM) before the emergence of any significant flavor conversion, one largely depends on numerical calculations to understand this interesting phenomenon in the nonlinear regime. In this work we demonstrate that there exist nontrivial solutions to the flavor EoM that govern the fast oscillations in one-dimensional axisymmetric neutrino gases. These solutions represent a coherent flavor isospin wave similar to the magnetic spin wave in a lattice of magnetic dipoles. We also compute the DRs of such waves in some example cases which are closely related to the DRs of the fast neutrino oscillations obtained in the linear regime. This result sheds new light on the long-term behavior of fast neutrino oscillations which can have various implications for the CCSN and BNSM events.

11 pages, 9 figures. Minor changes. Version appeared in PRD

References in corpus (17)

• Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
• Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach
• New Developments in Flavor Evolution of a Dense Neutrino Gas
• Coherent Development of Neutrino Flavor in the Supernova Environment
• Analysis of Collective Neutrino Flavor Transformation in Supernovae
• Adiabaticity and spectral splits in collective neutrino transformations
• Self-induced decoherence in dense neutrino gases
• Fast flavor conversions of supernova neutrinos: Classifying instabilities via dispersion relations
• Fast Flavor Depolarization of Supernova Neutrinos
• Fast flavor oscillations in dense neutrino media with collisions
• Collective fast neutrino flavor conversions in a 1D box: Initial condition and long-term evolution
• The dispersion relation of the fast neutrino oscillation wave
• Fast oscillations, collisionless relaxation, and spurious evolution of supernova neutrino flavor
• Particle-in-cell Simulation of the Neutrino Fast Flavor Instability
• Fast Neutrino Flavor Conversion at Late Time
• Stationary solutions for fast flavor oscillations of a homogeneous dense neutrino gas
• Symmetries in collective neutrino oscillations

Cited by in corpus (21)

• Time-dependent and quasi-steady features of fast neutrino-flavor conversion
• Code Comparison for Fast Flavor Instability Simulation
• The Fast Flavor Instability in Hypermassive Neutron Star Disk Outflows
• Prospects of fast flavor neutrino conversion in rotating core-collapse supernovae
• Characterizing quasi-steady states of fast neutrino-flavor conversion by stability and conservation laws
• Evaluating Approximate Flavor Instability Metrics in Neutron Star Mergers
• Flavor solitons in dense neutrino gases
• Neutrino Oscillations in Core-Collapse Supernovae and Neutron Star Mergers
• Connecting small-scale to large-scale structures of fast neutrino-flavor conversion
• Classical and Quantum Evolution in a Simple Coherent Neutrino Problem
• General-Relativistic Quantum-Kinetics Neutrino Transport
• Fast neutrino flavor conversions in a supernova: Emergence, evolution, and effects
• Fast flavor conversions at the edge of instability in a two-beam model
• Perturbing Fast Neutrino Flavor Conversion
• Self-consistency in models of neutrino scattering and fast flavor conversion
• Asymptotic-state prediction for fast flavor transformation in neutron star mergers
• Fast Flavor Transformations
• Chaos in Inhomogeneous Neutrino Fast Flavor Instability
• Systematic local simulations of fast neutrino flavor conversions with scattering effects
• Single-wave solutions of the neutrino fast flavor system. Part I. Mechanical properties
• Fast Neutrino Conversion in Hydrodynamic Simulations of Neutrino-Cooled Accretion Disks