Flavor stability analysis of dense supernova neutrinos with flavor-dependent angular distributions

2012/08/31 by Alessandro Mirizzi, Pasquale Dario Serpico · 2 citations
Physics and Astronomy · #Astrophysics #Astrophysics and Cosmic Phenomena #Bar (unit) #Flavor #Instability #Isotropy #Mechanics #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Supernova #Type II supernova #astro-ph.SR #hep-ph

paper · pdf · doi:10.1103/physrevd.86.085010

published as Phys. Rev. D 86, 085010 (2012) · (v2: revised version. 10 pages, 10 eps figures. References updated. Figures imrproved. Matches the version published in PRD.)

openalex publication_date 2012/10/02 · arxiv created 2012/10/05 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Numerical simulations of the supernova (SN) neutrino self-induced flavor conversions, associated with the neutrino-neutrino interactions in the deepest stellar regions, have been typically carried out assuming the ``bulb model.'' In this approximation, neutrinos are taken to be emitted half-isotropically by a common neutrinosphere. In the recent [A. Mirizzi and P. D. Serpico, Phys. Rev. Lett. 108, 231102 (2012)] we have removed this assumption by introducing flavor-dependent angular distributions for SN neutrinos, as suggested by core-collapse simulations. We have found that in this case a novel multiangle instability in the self-induced flavor transitions can arise. In this work we perform an extensive study of this effect, carrying out a linearized flavor stability analysis for different SN neutrino energy fluxes and angular distributions, in both normal and inverted neutrino mass hierarchy. We confirm that spectra of different \ensuremathν species which cross in angular space (where F_\ensuremathν_e=F_\ensuremathν_x and F_\ensuremathν_e=F_\ensuremathν_x) present a significant enhancement of the flavor instability, and a shift of the onset of the flavor conversions at smaller radii with respect to the case of an isotropic neutrino emission. We also illustrate how a qualitative (and sometimes quantitative) understanding of the dynamics of these systems follows from a stability analysis.

Citations

• Role of dense matter in collective supernova neutrino transformations
• Simulation of coherent nonlinear neutrino flavor transformation in the supernova environment: Correlated neutrino trajectories
• Neutrino Mass Hierarchy and Stepwise Spectral Swapping of Supernova Neutrino Flavors
• Self-induced conversion in dense neutrino gases: Pendulum in flavor space
• Speed-up of neutrino transformations in a supernova environment
• Role of collective neutrino flavor oscillations in core-collapse supernova shock revival
• Self-induced parametric resonance in collective neutrino oscillations
• Collective Neutrino Oscillations
• Neutrino-neutrino scattering and matter-enhanced neutrino flavor transformation in supernovae

Cited by

• Neutrino quantum kinetic equations: The collision term
• Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion Relation Approach