Abstract
We compare the characteristics of the charged-current quasielastic (anti)neutrino scattering obtained in two different nuclear models, the phenomenological SuperScaling Approximation and the model using a realistic spectral function S(p, ϵ) that gives a scaling function in accordance with the (e, e′) scattering data, with the recent data published by the MiniBooNE, MINER νA, and NOMAD collaborations. The spectral function accounts for the nucleon-nucleon (NN) correlations by using natural orbitals from the Jastrow correlation method and has a realistic energy dependence. Both models provide a good description of the MINER νA and NOMAD data without the need of an ad hoc increase of the value of the mass parameter in the axial-vector dipole form factor. The models considered in this work, based on the the impulse approximation (IA), underpredict the MiniBooNE data for the flux-averaged charged-current quasielastic differential cross section per nucleon and the total cross sections, although the shape of the cross sections is represented by the approaches. The discrepancy is most likely due to missing of the effects beyond the IA, e.g., those of the 2p–2h meson exchange currents that have contribution in the transverse responses.
Highlights
The MINERνA Collaboration has recently measured differential cross sections for neutrino and antineutrino charged-current quasielastic (CCQE) scattering on a hydrocarbon target [1, 2]
The models considered in this work, based on the the impulse approximation (IA), underpredict the MiniBooNE data for the flux-averaged charged-current quasielastic νμ(νμ) + 12C differential cross section per nucleon and the total cross sections, the shape of the cross sections is represented by the approaches
At lower energies Eν ∼ 0.8 GeV the MiniBooNE experiment has reported [3, 4] CCQE cross sections that are higher than most theoretical predictions based on the impulse approximation (IA), leading to the suggestion that non-QE processes induced by two-body currents may play a significant role in this energy domain [5,6,7,8]
Summary
The MINERνA Collaboration has recently measured differential cross sections for neutrino and antineutrino charged-current quasielastic (CCQE) scattering on a hydrocarbon target [1, 2]. We compare the characteristics of the charged-current quasielastic (anti)neutrino scattering obtained in two different nuclear models, the phenomenological SuperScaling Approximation and the model using a realistic spectral function S(p, E) that gives a scaling function in accordance with the (e, e ) scattering data, with the recent data published by the MiniBooNE, MINERνA, and NOMAD collaborations.
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