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

Abstract

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 40 Ar and 12 C. 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.

Neutrino energy reconstruction from semi-inclusive samples

“…The spectral function is easy to incorporate in a fully factorized, plane-wave calculation (as in [10,20]), with the exclusive 6-differential cross section given by…”

“…K is a function containing kinematic factors, S(E m , p m ) is the initial-state spectral function and σ νN is the charged-current elastic neutrino-nucleon cross section for an off-shell nucleon with initial momentum p m (see Refs. [10,17,20] for details).…”

Neutrino-nucleus scattering in the SuSA model

“…The model used was PWIA together with the Rome spectral function [62,63], as described, e.g., in Refs. [60,66]. Equation ( 22 tells us that for fixed nucleon and final lepton energies, if one neglects the kinetic energy of the residual system T B , which under typical QE conditions is always very small, then one finds a one-to-one linear relation between the initial lepton energy and the missing energy.…”

A New Generation of Neutrino Cross Section Experiments: Challenges and Opportunities

“…Semi-inclusive CC1p0π cross sections function of muon and proton kinematics have been published also by MicroBooNE [26,52]. The theoretical investigation on semi-inclusive cross sections [85,86,[125][126][127][128][129] and on transverse kinematic imbalances [75,120,130] are only at the beginning, as well as the studies related to the emission of nucleon pairs induced by meson exchange currents and short range correlations [85,86,131,132].…”