Abstract

Neutrino–neutrino refraction dominates the flavor evolution in core-collapse supernovae, neutron star mergers, and the early Universe. Ordinary neutrino flavor conversions develop on timescales determined by the vacuum oscillation frequency. However, when the neutrino density is large enough, collective flavor conversions may arise because of pairwise neutrino scattering. Pairwise conversions are deemed fast because they are expected to occur on timescales that depend on the neutrino–neutrino interaction energy (i.e., on the neutrino number density) and are regulated by the angular distributions of electron neutrinos and antineutrinos. The enigmatic phenomenon of fast pairwise conversions has been overlooked for a long time. However, because of the fast conversion rate, pairwise conversions could occur in the proximity of the neutrino decoupling region with yet-to-be-understood implications for the hydrodynamics of astrophysical sources and the synthesis of the heavy elements. We review the physics of this fascinating phenomenon and its implications for neutrino-dense sources.

Highlights

  • Schematic representation of the neutrino flavor conversion regions in the envelope of a core-collapse supernova; indicative distances from the supernova core are displayed

  • Spatial region whereneutrinos decouple, as shown schematically in Figure 1, and they may lead to characteristic signatures in theneutrino energy distributions, such as the so-called spectral splits [16, 17]

  • Spectral splits were considered a characteristic imprint of neutrino–neutrino interactions

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Summary

NEUTRINO FLAVOR CONVERSIONS

We introduce the equations of motion for neutrinos in the mean-field approximation, many-body descriptions can be adopted [28,29,30,31,32,33,34,35,36]. The onset of flavor conversions can be examined through a linear stability analysis applied to the linearized equations of motion. To grasp the development of fast pairwise conversions, we introduce the linear stability analysis technique, discuss the conditions under which flavor conversions develop, and classify the types of flavor instability

Equations of Motion
Linear Stability Analysis
Fast Pairwise Conversions
LIMITATIONS
PHENOMENOLOGY OF FAST PAIRWISE CONVERSIONS
Dependence on Neutrino Energy
Dependence on Electron Lepton Number Crossings
Dependence on Neutrino Advection and Collisions
Core-Collapse Supernovae
Fast Pairwise Conversions in Supernovae
Compact Binary Merger Remnants
Fast Pairwise Conversions in Compact Binary Mergers
Findings
FAST PAIRWISE CONVERSIONS IN THE EARLY UNIVERSE
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