  Recently it is reported that there is the discrepancy between big bang
nucleosynthesis theory and observations (BBN crisis). We show that BBN
predictions agree with the primordial abundances of light elements, He4, D, He3
and Li7 inferred from the observational data if an electron neutrino has a net
chemical potential xi_{nu_e} due to lepton asymmetry. We estimate that
xi_{nu_e} = 0.043^{+0.040}_{-0.040} (95% C.L.) and Omega_bh^2 =
0.015^{+0.006}_{-0.003} (95% C.L.).
