Relativistic two-body currents for one-nucleon knockout in electron-nucleus scattering

Abstract

We present a detailed study of the contribution from two-body currents to the one-nucleon knockout process induced by electromagnetic interaction. The framework is a relativistic mean-field model (RMF) in which bound and scattering nucleons are consistently described as solutions of Dirac equation with potentials. We show results obtained with the most general expression of the two-body operator, in which the intermediate nucleons are described by relativistic mean-field bound states; then, we propose two approximations consisting in describing the intermediate states as nucleons in a relativistic Fermi gas, preserving the complexity and consistency in the initial and final states. These approximations simplify the calculations considerably, allowing us to provide outcomes in a reasonable computational time. The results obtained under these approximations are validated by comparing with those from the full model. Additionally, the theoretical predictions are compared with experimental data of the longitudinal and transverse responses of carbon 12. The agreement with data is outstanding for the longitudinal response, where the contribution from the two-body operator is negligible. In the transverse sector, the two-body current increases the response from 30 to 15%, depending on the approximations and kinematics, in general, improving the agreement with data.

arXiv comment11 pages, 5 figures

References in corpus (22)

• Constraint on the Matter-Antimatter Symmetry-Violating Phase in Neutrino Oscillations
• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• Electron- and neutrino-nucleus scattering in the impulse approximation regime
• Spectroscopic Factors in ${}^{40}$Ca and ${}^{208}$Pb from $(e,e^{\prime }p)$: Fully Relativistic Analysis
• Relativistic versus Nonrelativistic Optical Potentials in A(e,e'p)B Reactions
• Electromagnetic response of 12C: a first-principles calculation
• The 2p-2h electromagnetic response in the quasielastic peak and beyond
• Relativistic models for quasi-elastic neutrino scattering
• A Study of the Quasi-elastic (e,e'p) Reaction on ${}^{12}$C, ${}^{56}$Fe and ${}^{97}$Au
• Gauge and Lorentz invariant one-pion exchange currents in electron scattering from a relativistic Fermi gas
• Nuclear effects in electron- and neutrino-nucleus scattering within a relativistic quantum mechanical framework
• Electron- versus neutrino-nucleus scattering
• Constraints in modeling the quasielastic response in inclusive lepton-nucleus scattering
• Electron versus muon neutrino induced cross sections in charged current quasi-elastic processes
• Electroweak single-pion production off the nucleon: from threshold to high invariant masses
• The dynamics of the quasielastic 16O(e,e'p) reaction at Q^2 = 0.8 (GeV/c)^2
• Exchange Current Corrections to Neutrino-Nucleus Scattering. I. Nuclear Matter
• Nuclear effects in neutrino and antineutrino CCQE scattering at MINERvA kinematics
• Neutrino energy reconstruction from semi-inclusive samples
• Final state interactions in semi-inclusive neutrino-nucleus scattering: Application to T2K and MINER$\nu$A experiments
• Measurement of the Ar(e,e${}^{\prime }$ p) and Ti(e,e${}^{\prime }$ p) cross sections in Jefferson Lab Hall A
• Meson-exchange currents and superscaling analysis with relativistic effective mass of quasielastic electron scattering from ${}^{12}$C

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• Improved superscaling description of electron and charged-current neutrino quasielastic scattering using effective mass dynamics
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