Supernova neutrinos and the turbulence power spectrum: point source statistics

Abstract

The neutrinos emitted from the proto-neutron star created in a core-collapse supernova must run through a significant amount of turbulence before exiting the star. Turbulence can modify the flavor evolution of the neutrinos imprinting itself upon the signal detected here at Earth. The turbulence effect upon individual neutrinos, and the correlation between pairs of neutrinos, might exhibit sensitivity to the power spectrum of the turbulence and recent analysis of the turbulence in a two-dimensional hydrodynamical simulation of a core-collapse supernova indicates the power spectrum may not be the Kolmogorov 5/3 inverse power law as has been previously assumed. In this paper we study the effect of non-Kolmogorov turbulence power spectra upon neutrinos from a point source as a function of neutrino energy and turbulence amplitude at a fixed post-bounce epoch. We find the two effects of turbulence upon the neutrinos - the distorted phase effect and the stimulated transitions - both possess strong and weak limits in which dependence upon the power spectrum is absent or evident respectively. Since neutrinos of a given energy will exhibit these two effects at different epochs of the supernova each with evolving strength, we find there is sensitivity to the power spectrum present in the neutrino burst signal from a Galactic supernova.

arXiv commentMatches version accepted by PRD

References in corpus (38)

• Collective Neutrino Oscillations
• Protoneutron star evolution and the neutrino driven wind in general relativistic neutrino radiation hydrodynamics simulations
• Nucleosynthesis-relevant conditions in neutrino-driven supernova outflows. I. Spherically symmetric hydrodynamic simulations
• Is Strong SASI Activity the Key to Successful Neutrino-Driven Supernova Explosions?
• Towards Realistic Progenitors of Core-Collapse Supernovae
• Three-dimensional Hydrodynamic Core-Collapse Supernova Simulations for an $11.2M_{\odot }$ Star with Spectral Neutrino Transport
• The Role of Turbulence in Neutrino-Driven Core-Collapse Supernova Explosions
• An Asymmetric, Energetic Type Ic Supernova Viewed Off-Axis, and a Link to Gamma-Ray Bursts
• General-Relativistic Simulations of Three-Dimensional Core-Collapse Supernovae
• Self-sustained asymmetry of lepton-number emission: A new phenomenon during the supernova shock-accretion phase in three dimensions
• New Two-Dimensional Models of Supernova Explosions by the Neutrino-Heating Mechanism: Evidence for Different Instability Regimes in Collapsing Stellar Cores
• High-Resolution Three-Dimensional Simulations of Core-Collapse Supernovae in Multiple Progenitors
• A Detailed Kinematic Map of Cassiopeia A's Optical Main Shell and Outer High-Velocity Ejecta
• Dimensional Dependence of the Hydrodynamics of Core-Collapse Supernovae
• A Global Turbulence Model for Neutrino-Driven Convection in Core-Collapse Supernovae
• The Physics of the Neutrino Mechanism of Core-Collapse Supernovae
• Damping of supernova neutrino transitions in stochastic shock-wave density profiles
• Effects of Random Density Fluctuations on Matter-Enhanced Neutrino Flavor Transitions in Supernovae and Implications for Supernova Dynamics and Nucleosynthesis
• Oscillation Effects and Time Variation of the Supernova Neutrino Signal
• Mu-tau neutrino refraction and collective three-flavor transformations in supernovae
• Phase effects in neutrino conversions during a supernova shock wave
• Turbulence effects on supernova neutrinos
• Turbulent Supernova Shock Waves and the Sterile Neutrino Signature in Megaton Water Detectors
• The MSW effect in a fluctuating matter density
• Three-Dimensional Explosion Geometry of Stripped-Envelope Core-Collapse Supernovae. I. Spectropolarimetric Observations
• Combining collective, MSW, and turbulence effects in supernova neutrino flavor evolution
• Three Flavor Neutrino Oscillations in Matter: Flavor Diagonal Potentials, the Adiabatic Basis and the CP phase
• Monte Carlo Neutrino Oscillations
• The neutrino-neutrino interaction effects in supernovae: the point of view from the 'matter' basis
• Recent Developments in Understanding Two-dimensional Turbulence and the Nastrom-Gage Spectrum
• Stimulated neutrino transformation through turbulence on a changing density profile and application to supernovae
• The consequences of large θ_13 for the turbulence signatures in supernova neutrinos
• Turbulence patterns and neutrino flavor transitions in high-resolution supernova models
• SUSY radiative corrections on mu-tau neutrino refraction including possible R-parity breaking interactions
• Fourier Analysis of the Parametric Resonance in Neutrino Oscillations
• Stimulated Neutrino Transformation Through Turbulence
• Stimulated Neutrino Transformation with Sinusoidal Density Profiles
• Finite size source effects and the correlation of neutrino transition probabilities through supernova turbulence

Cited by in corpus (4)

• What can be learned from a future supernova neutrino detection?
• Supernova Neutrinos: flavour conversion mechanisms and new physics scenarios
• On probing turbulence in core-collapse supernovae in upcoming neutrino detectors
• The effect upon neutrinos of core-collapse supernova accretion phase turbulence