Stimulated Neutrino Transformation Through Turbulence

Abstract

We derive an analytical solution for the flavor evolution of a neutrino through a turbulent density profile which is found to accurately predict the amplitude and transition wavelength of numerical solutions on a case-by-case basis. The evolution is seen to strongly depend upon those Fourier modes in the turbulence which are approximately the same as the splitting between neutrino eigenvalues. Transitions are strongly enhanced by those Fourier modes in the turbulence which are approximately the same as the splitting between neutrino eigenvalues. We also find a suppression of transitions due to the long wavelength modes when the ratio of their amplitude and the wavenumber is of order, or greater than, the first root of the Bessel function $J_0$.

7 pages, 4 figures

References in corpus (11)

• Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
• Coherent Development of Neutrino Flavor in the Supernova Environment
• Neutrino-Neutrino Interactions and Flavor Mixing in Dense Matter
• Simple Picture for Neutrino Flavor Transformation in Supernovae
• Damping of supernova neutrino transitions in stochastic shock-wave density profiles
• Turbulence effects on supernova neutrinos
• Turbulent Supernova Shock Waves and the Sterile Neutrino Signature in Megaton Water Detectors
• Three Flavor Neutrino Oscillations in Matter: Flavor Diagonal Potentials, the Adiabatic Basis and the CP phase
• Combining collective, MSW, and turbulence effects in supernova neutrino flavor evolution
• Fourier Analysis of the Parametric Resonance in Neutrino Oscillations
• Multi-angle effects in collective supernova neutrino oscillations

Cited by in corpus (7)

• What can be learned from a future supernova neutrino detection?
• Stimulated neutrino transformation through turbulence on a changing density profile and application to supernovae
• Neutrino flavor mixing with moments
• Neutrino Flavour Evolution Through Fluctuating Matter
• Supernova neutrinos and the turbulence power spectrum: point source statistics
• Matter parametric neutrino flavor transformation through Rabi resonances
• The effect upon neutrinos of core-collapse supernova accretion phase turbulence