Charged-current quasielastic neutrino cross sections on ${}^{12}$C with realistic spectral and scaling functions

Abstract

Charge-current quasielastic (CCQE) (anti)neutrino scattering cross sections on a ${}^{12}$C target are analyzed using a spectral function $S(p,\mathcal{E})$ that gives a scaling function in accordance with the ($e,e^{\prime }$) scattering data. The spectral function accounts for the nucleon-nucleon (NN) correlations, it has a realistic energy dependence and natural orbitals (NO's) from the Jastrow correlation method are used in its construction. In all calculations the standard value of the axial mass $M_A=1.032$ GeV/c${}^2$ is used. The results are compared with those when NN correlations are not included, as in the Relativistic Fermi Gas (RFG) model, or when harmonic-oscillator (HO) single-particle wave functions are used instead of NO's. The role of the final-state interactions (FSI) on the theoretical spectral and scaling functions, as well as on the cross sections is accounted for. A comparison of the results for the cases with and without FSI, as well as to results from the phenomenological scaling function obtained from the superscaling analysis (SuSA) is carried out. Our calculations based on the impulse approximation (IA) underpredict the MiniBooNE data, but agree with the data from the NOMAD experiment. The possible missing ingredients in the considered theoretical models are discussed.

10 pages, 6 figures, accepted for publication in Physical Review C

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Cited by in corpus (16)

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• Neutrino Interactions with Nucleons and Nuclei: Importance for Long-Baseline Experiments
• Neutrino-Induced Reactions on Nuclei
• Meson-exchange currents and quasielastic predictions for charged-current neutrino-12C scattering in the superscaling approach
• In medium dispersion relation effects in nuclear inclusive reactions at intermediate and low energies
• Electron- versus neutrino-nucleus scattering
• Neutrino-Oxygen CC0$\pi$ scattering in the SuSAv2-MEC model
• A realistic spectral function model for charged-current quasielastic-like neutrino and antineutrino cross sections on ${}^{12}$C
• Semi-inclusive charged-current neutrino-nucleus cross sections in the relativistic plane wave impulse approximation
• Theoretical description of semi-inclusive T2K, Miner$\nu$A and MicroBooNE neutrino-nucleus data in the relativistic plane wave impulse approximation
• Neutral current quasielastic (anti)neutrino scattering beyond the Fermi gas model at MiniBooNE and BNL kinematics
• Neutral Current Neutrino-Nucleus Scattering. Theory
• Implementation of a relativistic distorted wave impulse approximation model into the NEUT event generator
• Running axial mass of the nucleon as a phenomenological tool for calculating QE neutrino-nucleus cross sections
• Global Fit of Electron and Neutrino Elastic Scattering Data to Determine the Strange Quark Contribution to the Vector and Axial Form Factors of the Nucleon
• Inclusive Neutrino and Antineutrino Scattering on the ${}^{12}$C Nucleus Within the Coherent Density Fluctuation Model