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Title: Flavor instabilities in the neutrino line model

Abstract

A dense neutrino medium can experience collective flavor oscillations through nonlinear neutrino-neutrino refraction. To make this multi-dimensional flavor transport problem more tractable, all existing studies have assumed certain symmetries (e.g., the spatial homogeneity and directional isotropy in the early universe) to reduce the dimensionality of the problem. In this article we show that, if both the directional and spatial symmetries are not enforced in the neutrino line model, collective oscillations can develop in the physical regimes where the symmetry-preserving oscillation modes are stable. Our results suggest that collective neutrino oscillations in real astrophysical environments (such as core-collapse supernovae and black-hole accretion discs) can be qualitatively different from the predictions based on existing models in which spatial and directional symmetries are artificially imposed.

Authors:
ORCiD logo [1];  [1]
+ Show Author Affiliations
  1. Univ. of New Mexico, Albuquerque, NM (United States). Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Univ. of New Mexico, Albuquerque, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1244108
Alternate Identifier(s):
OSTI ID: 1454416
Grant/Contract Number:  
SC0008142
Resource Type:
Published Article
Journal Name:
Physics Letters. B
Additional Journal Information:
Journal Name: Physics Letters. B Journal Volume: 747 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Neutrino oscillations; Dense neutrino medium; Spontaneous symmetry breaking

Citation Formats

Duan, Huaiyu, and Shalgar, Shashank. Flavor instabilities in the neutrino line model. Netherlands: N. p., 2015. Web. doi:10.1016/j.physletb.2015.05.057.
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Duan, Huaiyu, & Shalgar, Shashank. Flavor instabilities in the neutrino line model. Netherlands. https://doi.org/10.1016/j.physletb.2015.05.057
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Duan, Huaiyu, and Shalgar, Shashank. Wed . "Flavor instabilities in the neutrino line model". Netherlands. https://doi.org/10.1016/j.physletb.2015.05.057.
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@article{osti_1244108,
title = {Flavor instabilities in the neutrino line model},
author = {Duan, Huaiyu and Shalgar, Shashank},
abstractNote = {A dense neutrino medium can experience collective flavor oscillations through nonlinear neutrino-neutrino refraction. To make this multi-dimensional flavor transport problem more tractable, all existing studies have assumed certain symmetries (e.g., the spatial homogeneity and directional isotropy in the early universe) to reduce the dimensionality of the problem. In this article we show that, if both the directional and spatial symmetries are not enforced in the neutrino line model, collective oscillations can develop in the physical regimes where the symmetry-preserving oscillation modes are stable. Our results suggest that collective neutrino oscillations in real astrophysical environments (such as core-collapse supernovae and black-hole accretion discs) can be qualitatively different from the predictions based on existing models in which spatial and directional symmetries are artificially imposed.},
doi = {10.1016/j.physletb.2015.05.057},
journal = {Physics Letters. B},
number = C,
volume = 747,
place = {Netherlands},
year = {Wed May 27 00:00:00 EDT 2015},
month = {Wed May 27 00:00:00 EDT 2015}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2015.05.057
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Cited by: 61 works
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Figures / Tables:

Fig. 1 Fig. 1: The flavor stability of the two-dimensional (x–z), two-angle, mono-energetic neutrino gas in the parameter space of neutrino self-coupling strength $μ$, which is proportional to the neutrino number density, and moment index $m$. The color scale of the plots represents κ$^{max}_m$ (μ), the largest exponential growth rate of themore » corresponding collective mode of neutrino oscillations in terms of z for given μ and m. Both μ and κ$^{max}_m$ (μ) are measured in terms of the oscillation frequency ω of the neutrino in vacuum. Collective oscillation modes with m = 0 preserve the translation symmetry along the x direction, but those with m ≠ 0 break this symmetry spontaneously. The larger the value of |m|, the smaller scales are the flavor structures in neutrino fluxes. The ratio of the number flux of antineutrinos to that of neutrinos is α = 0.8 in the left panel and 0.5 in the right panel. In both panels, the size of the periodic box of the neutrino sources on the x-axis is L = 20π/ω, and the propagation directions of the neutrinos are given by unit vectors [$v_x$, $v_z$] = [± √ 3/2, 1/2] which make 60° angle with the z axis. The results are independent of the neutrino mass hierarchy.« less
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