Empirical Fit to electron-nucleus scattering

Abstract

An empirical fit to electron-nucleus scattering for A > 2 is made based on world data. It is valid for 0 < W < 3.2 GeV and 0.2 < Q 2 < 5 GeV 2 , and can be used with caution at lower Q 2 . The fit is based on previous empirical fits to electron-proton and electron-neutron scattering, taking into account the effects of Fermi motion plus a substantial extra contribution that fills in the dip between the quasi-elastic peak and the ∆(1232) resonance.

Target and Beam-Target Spin Asymmetries in Exclusive $π^+$ and $π^-$ Electroproduction with 1.6 to 5.7 GeV Electrons

“…A fourth source of uncertainty could arise from a difference in the Fermi broadening in 15 N compared to 12 C, or a difference in average binding energy. In order to place constraints on this possibility, a dedicated liquid 15 N target was built for the present experiment, and inclusive electron scattering rates were compared with those from carbon [29]. Within the limited statistical and systematic accuracy of the measurements (the latter being dominated by the uncertainty in the neutron-to-proton cross section ratio), the average Fermi momentum and binding energy of the two nuclei were found to be the same.…”

“…The dilution factor f is defined as the ratio of scattering rate from free nucleons to the scattering rate from all nucleons in the target. If we make the assumption that the cross section per nucleon is the same for bound protons in all of the nuclear materials (with A > 2) [29] in a given target, and also that the effective detection efficiency is the same for the ammonia and carbon targets, then…”

Neutrino Interactions with Nucleons and Nuclei: Importance for Long-Baseline Experiments

“…The singleparticle cross sections discussed above are additional components, and all the processes on the nucleus are assumed to be quasi-free. The two-particle two-hole (2p2h) component is -similar to Reference [66] -taken from an analysis of inclusive electron scattering data, namely the meson exchange current contribution in Reference [67]. It can be related to the axial amplitude [68].…”

Effective Spectral Function for Quasielastic Scattering on Nuclei

“…Fig. 3 shows two parametrizations of ψ superscaling functions extracted from quasielastic electron scattering data on 12 C. Shown is the ψ superscaling distribution extracted from a fit to electron scattering data used by Bosted and Mamyan [10] (solid black line labeled as 2012), and the superscaling function extracted from a recent updated fit [11] to data from a large number of quasielastic electron scattering experiments on 12 C (dotted red line labeled as 2014). The panel on top shows the superscaling functions on a a linear scale and the panel on the bottom shows the same superscaling functions on a logarithmic scale.…”

“…(3) For both the 2012 and 2014 parametrizations the values of the Fermi motion parameter K F and energy shift parameter E shift (given in Table 1) are taken from ref. [10].…”