  We evaluate the neutral current quasi-elastic neutrino cross section within
two nuclear models: the SuSA model, based on the superscaling behavior of
electron scattering data, and the RMF model, based on relativistic mean field
theory. We also estimate the ratio $(\nu p \to \nu p)/(\nu N \to \nu N)$ and
compare with the MiniBooNE experimental data, performing a fit of the
parameters $M_A$ and $g_A^{(s)}$ within the two models. Finally, we present our
predictions for antineutrino scattering.
