Abstract
The mixing between sterile and active neutrinos is taken into account in the calculation of Big Bang Nucleosynthesis. The abundances of primordial elements, like D, $^{3}\mathrm{He}$, $^{4}\mathrm{He}$, and $^{7}\mathrm{Li}$, are calculated by including sterile neutrinos and by using finite chemical potentials. It is found that the resulting theoretical abundances are consistent with Wilkinson Microwave Anisotropy Probe (WMAP) data on baryonic densities, and with limits of Liquid Scintillator Neutrino Detector (LSND) on mixing angles, only if $^{7}\mathrm{Li}$ is excluded from the statistical analysis of theoretical and experimental results.
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