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A detailed study of charged current quasielastic neutrino and antineutrinoscattering cross sections on a $^{12}$C target with no pions in the final stateis presented. The initial nucleus is described by means of a realistic spectralfunction $S(p,{\cal E})$ in which nucleon-nucleon correlations are implementedby using natural orbitals through the Jastrow method. The roles played by thesecorrelations and by final-state interactions are analyzed and discussed. Themodel also includes the contribution of weak two-body currents in thetwo-particle two-hole sector, evaluated within a fully relativistic Fermi gas.The theoretical predictions are compared with a large set of experimental datafor double-differential, single-differential and total integrated crosssections measured by the MiniBooNE, MINER$\nu$A and T2K experiments. Goodagreement with experimental data is found over the whole range of neutrinoenergies. The results are also in global good agreement with the predictions ofthe superscaling approach, which is based on the analysis of electron-nucleusscattering data, with only a few differences seen at specific kinematics.

A realistic spectral function model for charged-current quasielastic-like neutrino and antineutrino cross sections on $^{12}$C