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

TL;DR

This paper investigates semi-inclusive charged-current neutrino-nucleus scattering using various nuclear models within the relativistic plane wave impulse approximation, providing detailed cross section calculations and comparisons with experimental data.

Contribution

It introduces a comprehensive analysis of semi-inclusive neutrino-nucleus cross sections across three nuclear models, including explicit formulas and comparison with experimental results.

Findings

Results align with previous inclusive cross section studies.

Explicit hadronic tensor and response functions are derived.

Theoretical predictions agree with T2K experimental data.

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 semi-inclusive nuclear responses are given. Theoretical predictions are compared with semi-inclusive experimental data from T2K experiment.