Abstract
We suggest an empirical rule-of-thumb for calculating the cross sections of charged-current quasielastic (CCQE) and CCQE-like interactions of neutrinos and antineutrinos with nuclei. The approach is based on the standard relativistic Fermi-gas model and on the notion of neutrino energy dependent axial-vector mass of the nucleon, governed by a couple of adjustable parameters, one of which is the conventional charged-current axial-vector mass. The inelastic background contributions and final-state interactions are therewith simulated using GENIE 3 neutrino event generator. An extensive comparison of our calculations with earlier and current accelerator CCQE and CCQE-like data for different nuclear targets shows good or at least qualitative overall agreement over a wide energy range. We also discuss some problematical issues common to several competing contemporary models of the CCQE (anti)neutrino–nucleus scattering and to the current neutrino interaction generators.
Highlights
Efforts were made in recent years to extract the value of the parameter MA from νμD, νμH, and π ± electroproduction experiments [3,4,5], and from all available at that time data on ν/ν scattering processes off light, intermediate and heavy nuclei [6,7,8]
The published dataset [13,14,201] consists of both CCQElike and charged-current quasielastic (CCQE)-corrected cross sections. The former sample includes the final state interaction (FSI) contributions and complicated instrumental and methodical effects and the CCQE sample is cleared of it all; in particular, the contributions of single pion interactions in carbon is removed according to the Rein– Sehgal (RS) model [90] as it implemented into the NUANCE MC neutrino event generator used in the MiniBooNE analyses
It is seen that the correction factors for the backgrounds to the total CCQE cross sections are systematically less than 1 all our models (Fig. 9); at energies below 0.8−0.9 GeV they slowly depend of the FSI model but at higher energies the differences become more essential
Summary
Where Q2 is the modulus of the squared four-momentum transfer carried by the W -boson. Efforts were made in recent years to extract the value of the parameter MA from νμD, νμH, and π ± electroproduction experiments [3,4,5], and from all available at that time data on ν/ν scattering processes off light, intermediate and heavy nuclei [6,7,8]. In the latter studies, the nuclear effects were accounted for by using the closure over the dinucleon states and one-pion exchange currents [9,10,11] for deuterium targets and by applying the standard. Among these are various extensions of the standard (global) RFG model, such as local Fermi gas (LFG) model [37], local density approximation (LDA) [38], and spectral function (SF) approach [39,40,41,42,43,44,45,46,47,48]; relativistic mean field and relativistic Green’s function models [49,50]; charged meson-exchange currents (MEC), intermediate Δ isobar or multi-nucleon excitations [51,52], short-range and long-range correlations (SRC and LRC) within random phase approximation (RPA) [53,54,55]; quantum-kinetic transport equations (implemented in the GiBUU code) [56, 57]; parametrization of the observed enhancement in the transverse electron quasielastic response function (presumably because of MEC) [45,58,59,60]; a variety of so-called
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