Astronomy and Astrophysics – Astrophysics
Scientific paper
2008-08-14
J.Phys.G36:105003,2009
Astronomy and Astrophysics
Astrophysics
21 pages, 2 figures. Significant revision in presentation with a new title in v2
Scientific paper
10.1088/0954-3899/36/10/105003
We discuss the relationship between a symmetry in the neutrino flavour evolution equations and neutrino flavour oscillations in the collective precession mode. This collective precession mode can give rise to spectral swaps (splits) when conditions can be approximated as homogeneous and isotropic. Multi-angle numerical simulations of supernova neutrino flavour transformation show that when this approximation breaks down, non-collective neutrino oscillation modes decohere kinematically, but the collective precession mode still is expected to stand out. We provide a criterion for significant flavour transformation to occur if neutrinos participate in a collective precession mode. This criterion can be used to understand the suppression of collective neutrino oscillations in anisotropic environments in the presence of a high matter density. This criterion is also useful in understanding the breakdown of the collective precession mode when neutrino densities are small.
Duan Huaiyu
Fuller George M.
Qian Yong-Zhong
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