Superscaling analyses of inclusive electron scattering and their extension to charge-changing neutrino cross sections in nuclei (original) (raw)

Superscaling analysis of inclusive electron scattering and its extension to charge-changing neutrino-nucleus cross sections beyond the relativistic Fermi gas approach

Physical Review C, 2006

Superscaling analyses of inclusive electron scattering from nuclei are extended from the quasielastic processes to the delta excitation region. The calculations of (e, e ′ ) cross sections for the target nucleus 12 C at various incident electron energies are performed using scaling functions f (ψ ′ ) obtained in approaches going beyond the mean-field approximation, such as the coherent density fluctuation model (CDFM) and the one based on the light-front dynamics (LFD) method. The results are compared with those obtained using the relativistic Fermi gas (RFG) model and the extended RFG model (ERFG). Our method utilizes in an equivalent way both basic nuclear quantities, density and momentum distributions, showing their role for the scaling and superscaling phenomena. The approach is extended to consider scaling function for medium and heavy nuclei with Z = N for which the proton and neutron densities are not similar. The asymmetry of the CDFM quasielastic scaling function is introduced, simulating in a phenomenological way the effects which violate the symmetry for ψ ′ ≥ 0 including the role of the final-state interaction (FSI). The superscaling properties of the electron scattering are used to predict charge-changing neutrinonucleus cross sections at energies from 1 to 2 GeV. A comparison with the results of the ERFG model is made. The analyses make it possible to gain information about the nucleon correlation effects on both local density and nucleon momentum distributions.

Using electron scattering superscaling to predict charge-changing neutrino cross sections in nuclei

Physical Review C, 2005

Superscaling analyses of few-GeV inclusive electron scattering from nuclei are extended to include not only quasielastic processes, but now also into the region where ∆-excitation dominates. It is shown that, with reasonable assumptions about the basic nuclear scaling function extracted from data and information from other studies of the relative roles played by correlation and MEC effects, the residual strength in the resonance region can be accounted for through an extended scaling analysis. One observes scaling upon assuming that the elementary cross section by which one divides the residual to obtain a new scaling function is dominated by the N → ∆ transition and employing a new scaling variable which is suited to the resonance region. This yields a good representation of the electromagnetic response in both the quasielastic and ∆ regions. The scaling approach is then inverted and predictions are made for charge-changing neutrino reactions at energies of a few GeV, with focus placed on nuclei which are relevant for neutrino oscillation measurements. For this a relativistic treatment of the required weak interaction vector and axialvector currents for both quasielastic and ∆-excitation processes is presented.

Superscaling and charge-changing neutrino scattering from nuclei in the Δ region beyond the relativistic Fermi gas model

Physical Review C, 2008

The superscaling analysis using the scaling function obtained within the coherent density fluctuation model is extended to calculate charge-changing neutrino and antineutrino scattering on 12 C at energies from 1 to 2 GeV not only in the quasielastic but also in the excitation region. The results are compared with those obtained using the scaling functions from the relativistic Fermi gas model and from the superscaling analysis of inclusive scattering of electrons from nuclei.

Superscaling and neutral current quasielastic neutrino-nucleus scattering

2006

The superscaling analysis is extended to include quasielastic (QE) scattering via the weak neutral current (NC) of neutrinos and antineutrinos from nuclei. The scaling function obtained within the coherent density fluctuation model (CDFM) (used previously in calculations of QE inclusive electron and charge-changing (CC) neutrino scattering) is applied to neutral current neutrino and antineutrino scattering with energies of 1 GeV from 12 C with a proton and neutron knockout (uchannel inclusive processes). The results are compared with those obtained using the scaling function from the relativistic Fermi gas model and the scaling function as determined from the superscaling analysis (SuSA) of QE electron scattering.

Superscaling in electron-nucleus scattering and its link to CC and NC QE neutrino-nucleus scattering

AIP Conference Proceedings, 2015

The superscaling approach (SuSA) to neutrino-nucleus scattering, based on the assumed universality of the scaling function for electromagnetic and weak interactions, is reviewed. The predictions of the SuSA model for bot CC and NC differential and total cross sections are presented and compared with the MiniBooNE data. The role of scaling violations, in particular the contribution of meson exchange currents in the two-particle two-hole sector, is explored.

Superscaling and neutral current quasielastic neutrino-nucleus scattering beyond the relativistic Fermi gas model

Physical Review C, 2007

The superscaling analysis is extended to include quasielastic (QE) scattering via the weak neutral current (NC) of neutrinos and antineutrinos from nuclei. The scaling function obtained within the coherent density fluctuation model (CDFM) (used previously in calculations of QE inclusive electron and charge-changing (CC) neutrino scattering) is applied to neutral current neutrino and antineutrino scattering with energies of 1 GeV from 12 C with a proton and neutron knockout (uchannel inclusive processes). The results are compared with those obtained using the scaling function from the relativistic Fermi gas model and the scaling function as determined from the superscaling analysis (SuSA) of QE electron scattering.

Inelastic neutrino-nucleus scattering in the superscaling model

Proceedings of The 22nd International Workshop on Neutrinos from Accelerators — PoS(NuFact2021)

Charged-current inclusive neutrino cross sections on 12 C and 40 Ar target are analyzed using the susperscaling model SuSAv2, for the first time extended to the full inelastic region. The model contains two new ingredients: the first is a scaling function used to describe the Δ resonance region, built after subtracting from (, ′) experimental cross sections the quasielastic, two-particle two-hole, higher resonances and deep inelastic scattering (DIS) contributions arising from the SuSAv2-MEC model [1]; the second is the description of the resonance and DIS regimes through the extension to the neutrino sector of the SuSAv2-inelastic model already available for (, ′) reactions, which combines phenomenological structure functions with a nuclear scaling function. Two different options for the description of the Δ region are presented and discussed. The results of the model are tested against (, ′) data and inclusive neutrino cross-section measurements from the T2K and ArgoNEUT experiments, thus covering several kinematical regions.

Relativistic descriptions of quasielastic charged-current neutrino-nucleus scattering: Application to scaling and superscaling ideas

Physical Review C, 2011

The analysis of the recent experimental data on charged-current neutrino-nucleus scattering cross sections measured at MiniBooNE requires fully relativistic theoretical descriptions also accounting for the role of final state interactions. In this work we evaluate inclusive quasielastic differential neutrino cross sections within the framework of the relativistic impulse approximation. Results based on the relativistic mean field potential are compared with the ones corresponding to the relativistic Green function approach. An analysis of scaling and superscaling properties provided by both models is also presented.