Effects of two-body currents in the one-particle one-hole electromagnetic responses within a relativistic model

Abstract

Longitudinal ($R_L$) and transverse ($R_T$) responses from inclusive electron scattering from carbon 12 and calcium 40 nuclei are computed within a fully relativistic and unfactorized model for the initial and final states, and one- and two-body current operators leading to the one-particle one-hole responses. We find that the two-body contributions have no effect on $R_L$ but they increase $R_T$ by up to 30%, depending on the energy and momentum transfer. Inclusive cross sections have also been computed. In this case, the increase of $R_T$ due to two-body currents will translate into an increase in the cross-sections depending on the degree of transversity of each kinematic. The comparison with carbon data is good for the responses and the cross sections. In the case of calcium, while the model compares well with the cross section data, the agreement with the responses is generally poor. However, the inconsistencies between different data sets for the separate responses in this nucleus points to uncertainties underlying the procedure to extract the responses that are not considered (or largely underestimated) in the experimental error bars. Our calculation is fully relativistic and considers within the full quantum mechanical description both the initial and final nucleon states involved in the process. We also show that it is essential to go beyond the plane-wave approach, since incorporating the distortion of the nucleons while making the initial and final states orthogonal, allows to reproduce both the shape and magnitude of the cross section data and carbon responses. The good agreement with the electron scattering experimental data supports the use of this approach to describe the analogous neutrino-induced scattering reaction.

21 pages, 8 figures

References in corpus (19)

• Physics Potential of a Long Baseline Neutrino Oscillation Experiment Using J-PARC Neutrino Beam and Hyper-Kamiokande
• Meson-exchange currents and quasielastic predictions for charged-current neutrino-12C scattering in the superscaling approach
• Ab initio computation of the longitudinal response function in ${}^{40}$Ca
• Electron scattering on $\mathbf{A}=3$ nuclei from quantum Monte Carlo based approaches
• Determination of the argon spectral function from (e,e'p) data
• Neutrino energy reconstruction from semi-inclusive samples
• Final state interactions in semi-inclusive neutrino-nucleus scattering: Application to T2K and MINER$\nu$A experiments
• ${}^{40}$Ca transverse response function from coupled-cluster theory
• Meson-exchange currents and superscaling analysis with relativistic effective mass of quasielastic electron scattering from ${}^{12}$C
• Measurement of the Ar(e,e${}^{\prime }$ p) and Ti(e,e${}^{\prime }$ p) cross sections in Jefferson Lab Hall A
• Quasi-elastic electron scattering with KIDS nuclear energy density functional
• Analysis of flux-integrated semi-exclusive cross sections for charged current quasi-elastic neutrino scattering off 40Ar at energies available at the MicroBooNE experiment
• New model comparison for semi-inclusive charged-current electron and muon neutrino scattering by ${}^{40}$Ar in the energy range of the MicroBooNE experiment
• Relativistic two-body currents for one-nucleon knockout in electron-nucleus scattering
• Final-state interactions in neutrino-induced proton knockout from argon in MicroBooNE
• Superscaling analysis of inclusive electron and (anti)neutrino scattering within the coherent density fluctuation model
• Towards a more complete description of nucleon distortion in lepton-induced single-pion production at low-$Q^2$
• Nuclear medium effects in neutrino- and antineutrino-nucleus scattering
• Benchmarking intra-nuclear cascade models for neutrino scattering with relativistic optical potentials

Cited by in corpus (2)

• Implementation of a relativistic distorted wave impulse approximation model into the NEUT event generator
• Single pion-production and pion propagation in Achilles