N-mode coherence in collective neutrino oscillations

Details N-mode coherence in collective neutrino oscillations N-mode coherence in collective neutrino oscillations

2011-03-15

arxiv.org/abs/1103.2891v3

Phys.Rev.D83:105022,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

Minor textual changes, reference added, identical with published version

Scientific paper

10.1103/PhysRevD.83.105022

We study two-flavor neutrino oscillations in a homogeneous and isotropic ensemble under the influence of neutrino-neutrino interactions. For any density there exist forms of collective oscillations that show self-maintained coherence. They can be classified by a number N of linearly independent functions that describe all neutrino modes as linear superpositions. What is more, the dynamics is equivalent to another ensemble with the same effective density, consisting of N modes with discrete energies E_i with i=1, ..., N. We use this equivalence to derive the analytic solution for two-mode (bimodal) coherence, relevant for spectral-split formation in supernova neutrinos.

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