TY - JOUR
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.
KW - hep-ph
KW - astro-ph.SR
U2 - 10.1103/physrevlett.118.021101
DO - 10.1103/physrevlett.118.021101
M3 - Journal article
C2 - 28128630
SN - 0031-9007
VL - 118
JO - Physical Review Letters
JF - Physical Review Letters
M1 - 021101
ER -