Semi-inclusive charged-current neutrino-nucleus cross sections in the relativistic plane-wave impulse approximation

Neutrino-nucleus quasielastic scattering is studied in the plane-wave impulse approximation for three nuclear models: the relativistic Fermi gas (RFG), the independent-particle shell model (IPSM), and the natural orbitals (NO) model with Lorentzian dependence of the excitation energy. A complete study of the kinematics of the semi-inclusive process and the associated cross sections are presented and discussed for 40Ar and 12C. Inclusive cross sections are also obtained by integrating the semi-inclusive expressions over the outgoing hadron. Results are consistent with previous studies restricted to the inclusive channel. In particular, a comparison with the analytical results for the RFG model is performed. Explicit expressions for the hadronic tensor and the 10 semiinclusive nuclear responses are given. Theoretical predictions are compared with semi-inclusive experimental data from T2K experiment.