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Title: Collective three-flavor oscillations of supernova neutrinos

Abstract

Neutrinos and antineutrinos emitted from a core collapse supernova interact among themselves, giving rise to collective flavor conversion effects that are significant near the neutrinosphere. We develop a formalism to analyze these collective effects in the complete three-flavor framework. It naturally generalizes the spin-precession analogy to three flavors and is capable of analytically describing phenomena like vacuum/Mikheyev-Smirnov-Wolfenstein (MSW) oscillations, synchronized oscillations, bipolar oscillations, and spectral split. Using the formalism, we demonstrate that the flavor conversions may be 'factorized' into two-flavor oscillations with hierarchical frequencies. We explicitly show how the three-flavor solution may be constructed by combining two-flavor solutions. For a typical supernova density profile, we identify an approximate separation of regions where distinctly different flavor conversion mechanisms operate, and demonstrate the interplay between collective and MSW effects. We pictorialize our results in terms of the 'e{sub 3}-e{sub 8} triangle' diagram, which is a tool that can be used to visualize three-neutrino flavor conversions in general, and offers insights into the analysis of the collective effects in particular.

Authors:
;  [1]
  1. Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005 (India)
Publication Date:
OSTI Identifier:
21205047
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 77; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.77.113002; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANTINEUTRINOS; CONVERSION; COSMIC NEUTRINOS; DENSITY; EMISSION; FLAVOR MODEL; MATHEMATICAL SOLUTIONS; NEUTRINOS; OSCILLATIONS; PRECESSION; SPIN; SUPERNOVAE

Citation Formats

Dasgupta, Basudeb, and Dighe, Amol. Collective three-flavor oscillations of supernova neutrinos. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.77.113002.
Dasgupta, Basudeb, & Dighe, Amol. Collective three-flavor oscillations of supernova neutrinos. United States. doi:10.1103/PHYSREVD.77.113002.
Dasgupta, Basudeb, and Dighe, Amol. Sun . "Collective three-flavor oscillations of supernova neutrinos". United States. doi:10.1103/PHYSREVD.77.113002.
@article{osti_21205047,
title = {Collective three-flavor oscillations of supernova neutrinos},
author = {Dasgupta, Basudeb and Dighe, Amol},
abstractNote = {Neutrinos and antineutrinos emitted from a core collapse supernova interact among themselves, giving rise to collective flavor conversion effects that are significant near the neutrinosphere. We develop a formalism to analyze these collective effects in the complete three-flavor framework. It naturally generalizes the spin-precession analogy to three flavors and is capable of analytically describing phenomena like vacuum/Mikheyev-Smirnov-Wolfenstein (MSW) oscillations, synchronized oscillations, bipolar oscillations, and spectral split. Using the formalism, we demonstrate that the flavor conversions may be 'factorized' into two-flavor oscillations with hierarchical frequencies. We explicitly show how the three-flavor solution may be constructed by combining two-flavor solutions. For a typical supernova density profile, we identify an approximate separation of regions where distinctly different flavor conversion mechanisms operate, and demonstrate the interplay between collective and MSW effects. We pictorialize our results in terms of the 'e{sub 3}-e{sub 8} triangle' diagram, which is a tool that can be used to visualize three-neutrino flavor conversions in general, and offers insights into the analysis of the collective effects in particular.},
doi = {10.1103/PHYSREVD.77.113002},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 11,
volume = 77,
place = {United States},
year = {2008},
month = {6}
}