Exact analytical models of the streaming instability driven by intense neutrino beams

Physics – Plasma Physics

Scientific paper

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Scientific paper

Detailed properties of the neutrino streaming instability in a plasma are investigated for two particular choices of beamed neutrino distributions that permits exact analytical solutions to the dispersion relation. The dispersion relation is solved analytically, and it is shown that the maximum instability growth rate scales with powers κ of the Fermi constant GF lower than 2 (1 <= κ <= 4/3). For conditions present in realistic astrophysical scenarios, the neutrinos are sufficiently collimated for the neutrino streaming instability to operate. We also present estimates for the energy deposited in the stellar envelope of type II supernovae via the neutrino streaming instability. Work partially supported by NSF.

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