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

Abstract

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

14 pages, 12 figures, accepted for publication in Physical Review C

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• Constraints in modeling the quasielastic response in inclusive lepton-nucleus scattering
• ACHILLES: A novel event generator for electron- and neutrino-nucleus scattering
• Neutrino energy reconstruction from semi-inclusive samples
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Neutral Current Neutrino-Nucleus Scattering. Theory
• Running axial mass of the nucleon as a phenomenological tool for calculating QE neutrino-nucleus cross sections
• Semi-inclusive two-nucleon emission in (anti) neutrino CC scattering within the relativistic mean field framework
• Improved Superscaling in Quasielastic Electron Scattering with Relativistic Effective Mass
• Neutrino-Nucleus scattering in the SuSA model
• A model for neutrino-nucleus interactions in the GeV region
• A New Generation of Neutrino Cross Section Experiments: Challenges and Opportunities
• Exclusive Hadron Observables in Neutrino Induced $2p2h$ Multinucleon Knockout