Superscaling analysis of inclusive electron and (anti)neutrino scattering within the coherent density fluctuation model

Abstract

The experimental data from quasielastic electron and (anti)neutrino scattering on ${}^{12}$C are reanalyzed in terms of a new scaling variable ${\psi }^{\ast }$ suggested by the interacting relativistic Fermi gas with scalar and vector interactions, which is known to generate a relativistic effective mass for the interacting nucleons. We construct a new scaling function $f^{\text{QE}}({\psi }^{\ast })$ for the inclusive lepton scattering from nuclei within the coherent density fluctuation model (CDFM). The latter is a natural extension of the relativistic Fermi gas model to finite nuclei. In this work, on the basis of the scaling function obtained within CDFM with a relativistic effective mass $m_N^{\ast }=0.8m_N$, we calculate and compare the theoretical predictions with a large set of experimental data for inclusive ($e,e^{\prime }$) and (anti)neutrino cross sections. 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. Good agreement with experimental data is found over the whole range of electron and (anti)neutrino energies.

15 pages, 11 figures. Accepted for publication in Physical Review C

References in corpus (13)

• First Measurement of the Muon Neutrino Charged Current Quasielastic Double Differential Cross Section
• Inclusive quasi-elastic electron-nucleus scattering
• A study of quasi-elastic muon neutrino and antineutrino scattering in the NOMAD experiment
• Charged-current neutrino-nucleus reactions within the SuSAv2-MEC approach
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• Meson-exchange currents and superscaling analysis with relativistic effective mass of quasielastic electron scattering from ${}^{12}$C
• Fermi-momentum dependence of relativistic effective mass below saturation from superscaling of quasielastic electron scattering
• Semiempirical formula for electroweak response functions in the two-nucleon emission channel in neutrino-nucleus scattering
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Cited by in corpus (3)

• Effects of two-body currents in the one-particle one-hole electromagnetic responses within a relativistic model
• Inclusive Neutrino and Antineutrino Scattering on the ${}^{12}$C Nucleus Within the Coherent Density Fluctuation Model
• Charged-current quasielastic-like neutrino scattering from ${}^{12}$C in the coherent density fluctuation model with two-nucleon emission