Modulational instabilities in neutrino--anti-neutrino interactions
arXiv:astro-ph/0306013 · doi:10.1134/1.1787073
Abstract
We analyze the collective behavior of neutrinos and antineutrinos in a dense background. Using the Wigner transform technique, it is shown that the interaction can be modelled by a coupled system of nonlinear Vlasov-like equations. From these equations, we derive a dispersion relation for neutrino-antineutrino interactions on a general background. The dispersion relation admits a novel modulational instability. The results are examined, together with a numerical example, and we discuss the induced density inhomogeneities using parameters relevant to the early Universe.
arXiv comment16 pages (extended and revised), 4 figures
References in corpus (14)
- Evidence for oscillation of atmospheric neutrinos
- Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
- Rotation Curves of Spiral Galaxies
- Neutrinos in cosmology
- Study of the atmospheric neutrino flux in the multi-GeV energy range
- Constraints on neutrino oscillation parameters from the measurement of day-night solar neutrino fluxes at Super-Kamiokande
- A new upper limit on the total neutrino mass from the 2dF Galaxy Redshift Survey
- Neutrino Mass and Dark Energy from Weak Lensing
- Neutrino Conversions in a Polarized Medium
- Neutrino Flavor Evolution Near a Supernova's Core
- New features of modulational instability of partially coherent light; importance of the incoherence spectrum
- Cosmological limit on the neutrino mass
- Interacting Hot Dark Matter
- Neutrino Masses in Astroparticle Physics