Lepton asymmetry effect on neutrino oscillations and primordial [sup 4]He

We analyze the effects of lepton asymmetry on neutrino oscillations and on cosmological nucleosynthesis (CN) with oscillating neutrinos. It is shown that small lepton asymmetries, L<0.01, whose direct kinetic effect on nucleosynthesis is negligible, still effect nucleosynthesis considerably through their influence on oscillating neutrinos. Two different cases of lepton asymmetry are discussed: an initially present and a dynamically generated in oscillations. Dynamically generated asymmetry at small mixing angles in the resonant case suppresses oscillations, hence, the nucleosynthesis bounds on neutrino mass differences at small mixings are relaxed. Initially present asymmetry may suppress or enhance oscillations. The enhancement is a result of interchanging resonances between neutrino and antineutrino ensembles due to resonance waves passing through the neutrino and antineutrino spectrum. Updated nucleosynthesis bounds on neutrino oscillation parameters accounting for lepton asymmetry are presented.