Constructing angular distributions of neutrinos in core collapse supernova from zero-th and first moments calibrated by full Boltzmann neutrino transport

Abstract

Two-moment neutrino transport methods have been widely used for developing theoretical models of core-collapse supernova (CCSN), since they substantially reduce the computational burden inherent in the multi-dimensional neutrino-radiation hydrodynamical simulations. The approximation, however, comes at a price; the detailed structure of angular distribution of neutrinos is sacrificed, that is the main drawback of this approach. In this paper, we develop a novel method by which to construct angular distributions of neutrinos from the zero-th and first angular moments. In our method, the angular distribution is expressed with two quadratic functions of the neutrino angle in a piecewise fashion. We determine the best parameters in the fitting function by comparing to the neutrino data in a spherically symmetric CCSN model with full Boltzmann neutrino transport. We demonstrate the capability of our method by using our recent 2D CCSN model. We find that the essential features of the angular distributions can be well reconstructed, whereas the angular distributions of incoming neutrinos tend to have large errors that increase with flux factor ($\kappa$). This issue originates from the insensitiveness of incoming neutrinos to $\kappa$, that is an intrinsic limitation in moment methods. Based on the results of the demonstration, we assess the reliability of ELN-crossing searches with two-moment neutrino transport. This analysis is complementary to our another paper that scrutinizes the limitation of crossing searches with a few moments. We find that the systematic errors of angular distributions for incoming neutrinos lead to misjudgements of the crossing at $\kappa \gtrsim 0.5$. This casts doubt on the results of ELN-crossing searches based on two-moment methods in some previous studies.

arXiv commentMinor corrections were made in Figs. (Accepted to PRD)

References in corpus (68)

• A Finite Difference Representation of Neutrino Radiation Hydrodynamics in Spherically Symmetric General Relativistic Space-Time
• Speed-up of neutrino transformations in a supernova environment
• Truncated Moment Formalism for Radiation Hydrodynamics in Numerical Relativity
• Exploring Fundamentally Three-dimensional Phenomena in High-fidelity Simulations of Core-collapse Supernovae
• Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach
• 2D Multi-Angle, Multi-Group Neutrino Radiation-Hydrodynamic Simulations of Postbounce Supernova Cores
• Self-consistent 3D Supernova Models From -7 Minutes to +7 Seconds: a 1-bethe Explosion of a ~19 Solar-mass Progenitor
• A Successful 3D Core-Collapse Supernova Explosion Model
• Neutrino cloud instabilities just above the neutrino sphere of a supernova
• Post-merger evolution of a neutron star-black hole binary with neutrino transport
• Fornax: a Flexible Code for Multiphysics Astrophysical Simulations
• A new multidimensional, energy-dependent two-moment transport code for neutrino-hydrodynamics
• General Relativistic Three-Dimensional Multi-Group Neutrino Radiation-Hydrodynamics Simulations of Core-Collapse Supernovae
• Self-induced neutrino flavor conversion without flavor mixing
• Neutrino oscillations in supernovae: angular moments and fast instabilities
• Fast neutrino flavor conversions near the supernova core with realistic flavor-dependent angular distributions
• On the occurrence of fast neutrino flavor conversions in multidimensional supernova models
• Three-dimensional core-collapse supernova simulations of massive and rotating progenitors
• A New Multi-Energy Neutrino Radiation-Hydrodynamics Code in Full General Relativity and Its Application to Gravitational Collapse of Massive Stars
• Neutrino Fast Flavor Conversions in Neutron-star Post-Merger Accretion Disks
• 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
• Fast neutrino flavor instability and neutrino flavor lepton number crossings
• Fast Flavor Depolarization of Supernova Neutrinos
• Collisional triggering of fast flavor conversions of supernova neutrinos
• Flavor-dependent neutrino angular distribution in core-collapse supernovae
• Three-dimensional Boltzmann-Hydro code for core-collapse in massive stars I. special relativistic treatments
• A new possibility of the fast neutrino-flavor conversion in the pre-shock region of core-collapse supernova
• Simulations of core-collapse supernovae in spatial axisymmetry with full Boltzmann neutrino transport
• Fast Neutrino Flavor Conversion Modes in Multidimensional Core-collapse Supernova Models: the Role of the Asymmetric Neutrino Distributions
• A full general relativistic neutrino radiation-hydrodynamics simulation of a collapsing very massive star and the formation of a black hole
• Fast-pairwise collective neutrino oscillations associated with asymmetric neutrino emissions in core-collapse supernova
• A systematic study of proto-neutron star convection in three-dimensional core-collapse supernova simulations
• Three-Dimensional Core-Collapse Supernova Simulations with Multi-Dimensional Neutrino Transport Compared to the Ray-by-Ray-plus Approximation
• Dynamic fast flavor oscillation waves in dense neutrino gases
• Equation of state effects in the core collapse of a $20$-$M_{\odot }$ star
• Fast flavor oscillations in dense neutrino media with collisions
• On the characteristics of fast neutrino flavor instabilities in three-dimensional core-collapse supernova models
• A few moments to diagnose fast flavor conversions of supernova neutrinos
• Particle-in-cell Simulation of the Neutrino Fast Flavor Instability
• Fast oscillations, collisionless relaxation, and spurious evolution of supernova neutrino flavor
• A change of direction in pairwise neutrino conversion physics: The effect of collisions
• On Fast Neutrino Flavor Conversion Modes in the Nonlinear Regime
• A new equation of state for core-collapse supernovae based on realistic nuclear forces and including a full nuclear ensemble
• A Detailed Comparison of Multi-Dimensional Boltzmann Neutrino Transport Methods in Core-Collapse Supernovae
• Three-dimensional Boltzmann-Hydro code for core-collapse in massive stars II. The Implementation of moving-mesh for neutron star kicks
• Analytic Closures for M1 Neutrino Transport
• Fast neutrino flavor conversions in one-dimensional core-collapse supernova models with and without muon creation
• Towards an Understanding of the Resolution Dependence of Core-Collapse Supernova Simulations
• Effects of LESA in Three-Dimensional Supernova Simulations with Multi-Dimensional and Ray-by-Ray-plus Neutrino Transport
• Possible early linear acceleration of proto-neutron stars via asymmetric neutrino emission in core-collapse supernovae
• Searching for Fast Neutrino Flavor Conversion Modes in Core-collapse Supernova Simulations
• A 3D Simulation of a Neutrino-Driven Supernova Explosion Aided By Convection and Magnetic Fields
• Comparing treatments of weak reactions with nuclei in simulations of core-collapse supernovae
• On the Occurrence of Crossings Between the Angular Distributions of Electron Neutrinos and Antineutrinos in the Supernova Core
• The three flavor revolution in fast pairwise neutrino conversion
• On the Neutrino Distributions in Phase Space for the Rotating Core-collapse Supernova Simulated with a Boltzmann-neutrino-radiation-hydrodynamics Code
• Simulations of the Early Post-Bounce Phase of Core-Collapse Supernovae in Three-Dimensional Space with Full Boltzmann Neutrino Transport
• Three-Dimensional Boltzmann-Hydro Code for core-collapse in massive stars III. A New method for momentum feedback from neutrino to matter
• The Boltzmann-radiation-hydrodynamics Simulations of Core-collapse Supernovae with Different Equations of State: the Role of Nuclear Composition and the Behavior of Neutrinos
• A Novel Multi-Dimensional Boltzmann Neutrino Transport Scheme for Core-Collapse Supernovae
• Rank-3 Moment Closures in General Relativistic Neutrino Transport
• A DG-IMEX method for two-moment neutrino transport: Nonlinear solvers for neutrino-matter coupling
• Fast Flavor Oscillations of Astrophysical Neutrinos with $1,2,\dots ,\infty$ Crossings
• Neutrino transport with Monte Carlo method: I. Towards fully consistent implementation of nucleon recoils in core-collapse supernova simulations
• Impact of neutrino pair-production rates in Core-Collapse Supernovae
• Spatiotemporal linear instability analysis of collective neutrino flavor conversion in 4-dimensional spacetime

Cited by in corpus (22)

• Neutrino Flavor Conversions in High-Density Astrophysical and Cosmological Environments
• Neutrino Flavor Pendulum Reloaded: The Case of Fast Pairwise Conversion
• Collisional instabilities of neutrinos and their interplay with fast flavor conversion in compact objects
• 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
• Fast flavor instabilities and the search for neutrino angular crossings
• Evaluating Approximate Flavor Instability Metrics in Neutron Star Mergers
• Neutrino Oscillations in Core-Collapse Supernovae and Neutron Star Mergers
• Connecting small-scale to large-scale structures of fast neutrino-flavor conversion
• Neutrino fast flavor oscillations with moments: linear stability analysis and application to neutron star mergers
• New method for detecting fast neutrino flavor conversions in core-collapse supernova models with two-moment neutrino transport
• Protoneutron Star Convection Simulated with a New General Relativistic Boltzmann Neutrino Radiation-Hydrodynamics Code
• Self-consistency in models of neutrino scattering and fast flavor conversion
• Fast Flavor Transformations
• Neutrino flavor mixing with moments
• Effects of Different Closure Choices in Core-Collapse Supernova Simulations
• Supernova Neutrinos: flavour conversion mechanisms and new physics scenarios
• Diagnosing electron-neutrino lepton number crossings in core-collapse supernovae: A comparison of methods
• Deep Learning of the Eddington Tensor in the Core-collapse Supernova Simulation
• Systematic local simulations of fast neutrino flavor conversions with scattering effects
• 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