Chaotic Amplification of Neutrino Chemical Potentials by Neutrino Oscillations in Big Bang Nucleosynthesis

Abstract

We investigate in detail the parameter space of active-sterile neutrino oscillations that amplifies neutrino chemical potentials at the epoch of Big Bang Nucleosynthesis. We calculate the magnitude of the amplification and show evidences of chaos in the amplification process. We also discuss the implications of the neutrino chemical potential amplification in the Big Bang Nucleosynthesis. It is shown that with a $\sim 1$ eV $\nue$, the amplification of its chemical potential by active-sterile neutrino oscillations can lower the effective number of neutrino species at Big Bang Nucleosynthesis to significantly below 3.

Revtex 20 pages, 7 postscript figures. Also by ftp://astro.queensu.ca/pub/shi/ . Submitted to PRD

References in corpus (6)

• Candidate Events in a Search for Muon Antineutrino to Electron Antineutrino Oscillations
• Big Bang Nucleosynthesis in Crisis?
• Large neutrino asymmetries from neutrino oscillations
• Reconciling sterile neutrinos with big bang nucleosynthesis
• Results from the LSND Neutrino Oscillation Search
• Can a ``natural'' three-generation neutrino mixing scheme satisfy everything?

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