Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach

Ignacio Izaguirre; Georg Raffelt; Irene Tamborra

doi:10.1103/physrevlett.118.021101

Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach

Ignacio Izaguirre, Georg Raffelt, Irene Tamborra

Niels Bohr International Academy

68 Citations (Scopus)

Abstract

Collective pair conversion νeνe↔νxνx by forward scattering, where x=μ or τ, may be generic for supernova neutrino transport. Depending on the local angular intensity of the electron lepton number carried by neutrinos, the conversion rate can be "fast," i.e., of the order of 2GF(nνe-nνe)Δmatm2/2E. We present a novel approach to understand these phenomena: a dispersion relation for the frequency and wave number (Ω,K) of disturbances in the mean field of νeνx flavor coherence. Runaway solutions occur in "dispersion gaps," i.e., in "forbidden" intervals of Ω and/or K where propagating plane waves do not exist. We stress that the actual solutions also depend on the initial and/or boundary conditions, which need to be further investigated.

Original language	English
Article number	021101
Journal	Physical Review Letters
Volume	118
ISSN	0031-9007
DOIs	https://doi.org/10.1103/physrevlett.118.021101
Publication status	Published - 10 Jan 2017

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10.1103/physrevlett.118.021101

PhysRevLett.118.021101(1)Final published version, 256 KB

http://arxiv.org/pdf/1610.01612Licence: Other

Cite this

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title = "Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach",

abstract = "Collective pair conversion νeνe↔νxνx by forward scattering, where x=μ or τ, may be generic for supernova neutrino transport. Depending on the local angular intensity of the electron lepton number carried by neutrinos, the conversion rate can be {"}fast,{"} i.e., of the order of 2GF(nνe-nνe)Δmatm2/2E. We present a novel approach to understand these phenomena: a dispersion relation for the frequency and wave number (Ω,K) of disturbances in the mean field of νeνx flavor coherence. Runaway solutions occur in {"}dispersion gaps,{"} i.e., in {"}forbidden{"} intervals of Ω and/or K where propagating plane waves do not exist. We stress that the actual solutions also depend on the initial and/or boundary conditions, which need to be further investigated.",

keywords = "hep-ph, astro-ph.SR",

author = "Ignacio Izaguirre and Georg Raffelt and Irene Tamborra",

note = "6 pages, 3 figures. Minor changes in the text, references added and discussion of figure 3 extended. Matches published PRL version",

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T1 - Fast Pairwise Conversion of Supernova Neutrinos

T2 - A Dispersion-Relation Approach

AU - Izaguirre, Ignacio

AU - Raffelt, Georg

AU - Tamborra, Irene

N1 - 6 pages, 3 figures. Minor changes in the text, references added and discussion of figure 3 extended. Matches published PRL version

PY - 2017/1/10

Y1 - 2017/1/10

N2 - Collective pair conversion νeνe↔νxνx by forward scattering, where x=μ or τ, may be generic for supernova neutrino transport. Depending on the local angular intensity of the electron lepton number carried by neutrinos, the conversion rate can be "fast," i.e., of the order of 2GF(nνe-nνe)Δmatm2/2E. We present a novel approach to understand these phenomena: a dispersion relation for the frequency and wave number (Ω,K) of disturbances in the mean field of νeνx flavor coherence. Runaway solutions occur in "dispersion gaps," i.e., in "forbidden" intervals of Ω and/or K where propagating plane waves do not exist. We stress that the actual solutions also depend on the initial and/or boundary conditions, which need to be further investigated.

AB - Collective pair conversion νeνe↔νxνx by forward scattering, where x=μ or τ, may be generic for supernova neutrino transport. Depending on the local angular intensity of the electron lepton number carried by neutrinos, the conversion rate can be "fast," i.e., of the order of 2GF(nνe-nνe)Δmatm2/2E. We present a novel approach to understand these phenomena: a dispersion relation for the frequency and wave number (Ω,K) of disturbances in the mean field of νeνx flavor coherence. Runaway solutions occur in "dispersion gaps," i.e., in "forbidden" intervals of Ω and/or K where propagating plane waves do not exist. We stress that the actual solutions also depend on the initial and/or boundary conditions, which need to be further investigated.

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KW - astro-ph.SR

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Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach

Abstract

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