Models developed for the exclusive and inclusive quasielastic electron-nucleus scattering have been extended to quasielastic neutrino-nucleus scattering. Different descriptions of final-state interactions are compared. For the inclusive electron scattering the relativistic Green's function model is compared with a model based on the use of relativistic purely real mean field potentials in the final state. Both approaches lead to a redistribution of the strength but conserving the total flux. Results for electron and neutrino scattering are presented and discussed in different conditions and kinematics. The results of the relativistic Green's function and of the relativistic mean field models are compared with the double-differential charged-current quasielastic neutrino cross sections recently measured by the MiniBooNE collaboration using a carbon target.
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