Scaling and isospin effects in quasielastic lepton-nucleus scattering in the Relativistic Mean Field Approach

Abstract

The role of isospin in quasielastic electron scattering and charge-changing neutrino reactions is investigated in the relativistic impulse approximation. We analyze proton and neutron scaling functions making use of various theoretical descriptions for the final-state interactions, focusing on the effects introduced by the presence of strong scalar and vector terms in the relativistic mean field approach. An explanation for the differences observed in the scaling functions evaluated from $(e,e^{\prime })$ and $(\nu ,\mu )$ reactions is provided by invoking the differences in isoscalar and isovector contributions.

arXiv comment10 pages, 5 figures, submitted to Phys. Lett. B

References in corpus (23)

• Using Electron Scattering Superscaling to predict Charge-changing Neutrino Cross Sections in Nuclei
• Spectroscopic Factors in ${}^{40}$Ca and ${}^{208}$Pb from $(e,e^{\prime }p)$: Fully Relativistic Analysis
• Superscaling of Inclusive Electron Scattering from Nuclei
• Superscaling in inclusive electron-nucleus scattering
• Extended Superscaling of Electron Scattering from Nuclei
• Relativistic versus Nonrelativistic Optical Potentials in A(e,e'p)B Reactions
• Superscaling in charged current neutrino quasielastic scattering in the relativistic impulse approximation
• Quaiselastic scattering from relativistic bound nucleons: Transverse-Longitudinal response
• Relativistic y-scaling and the Coulomb sum rule in nuclei
• Semi-relativistic description of quasielastic neutrino reactions and superscaling in a continuum shell model
• Gauge and Lorentz invariant one-pion exchange currents in electron scattering from a relativistic Fermi gas
• Analysis of factorization in (e,e'p) reactions: A survey of the relativistic plane wave impulse approximation
• Parity violation in quasielastic electron scattering from closed-shell nuclei
• Relativistic mean field approximation to the analysis of 16O(e,e'p)15N data at |Q^2|\leq 0.4 (GeV/c)^2
• General study of superscaling in quasielastic $(e,e^{\prime })$ and $(\nu ,\mu )$ reactions using the relativistic impulse approximation
• Final-state interactions and superscaling in the semi-relativistic approach to quasielastic electron and neutrino scattering
• Relativistic Effects in the Electromagnetic Current at GeV Energies
• Superscaling analysis of inclusive electron scattering and its extension to charge-changing neutrino-nucleus cross sections beyond the relativistic Fermi gas approach
• Channel Coupling in $A(\vec{e},e^{\prime }\vec{N})B$ Reactions
• Relativistic current densities for bound spin-orbit partners and the longitudinal-transverse response in (e,e'p) processes
• Superscaling in electroweak excitation of nuclei
• A$(\vec{e},e^{\prime }\vec{p})$B responses: from bare nucleons to complex nuclei
• Analysis of polarized ${}^{16}$O$(\vec{e},e^{\prime }\vec{p})$ observables within the relativistic distorted wave impulse approximation

Cited by in corpus (42)

• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• Progress and open questions in the physics of neutrino cross sections
• Charged-current neutrino-nucleus reactions within the SuSAv2-MEC approach
• Meson-exchange currents and quasielastic neutrino cross sections in the SuperScaling Approximation model
• Extensions of Superscaling from Relativistic Mean Field Theory: the SuSAv2 Model
• Meson-exchange currents and quasielastic antineutrino cross sections in the SuperScaling Approximation
• Inclusive electron scattering within the SuSAv2-MEC approach
• Meson-exchange currents and quasielastic predictions for charged-current neutrino-12C scattering in the superscaling approach
• Relativistic analyses of quasielastic neutrino cross sections at MiniBooNE kinematics
• Implementation of the SuSAv2-MEC 1p1h and 2p2h models in GENIE and analysis of nuclear effects in T2K measurements
• Neutral weak current two-body contributions in inclusive scattering from ${}^{12}$C
• Relativistic descriptions of final-state interactions in charged-current quasielastic neutrino-nucleus scattering at MiniBooNE kinematics
• Electron- versus neutrino-nucleus scattering
• Ab initio study of $({\mathbf{\nu }}_{\mathbf{\ell }},{\mathbf{\ell }}^{-})$ and $({\overline{\mathbf{\nu }}}_{\mathbf{\ell }},{\mathbf{\ell }}^{+})$ inclusive scattering in ${}^{12}$C: confronting the MiniBooNE and T2K CCQE data
• Relativistic descriptions of inclusive quasielastic electron scattering: application to scaling and superscaling ideas
• Neutrino-Oxygen CC0$\pi$ scattering in the SuSAv2-MEC model
• Charged-current inclusive neutrino cross sections in the SuperScaling model including quasielastic, pion production and meson-exchange contributions
• Superscaling and Charge-Changing Neutrino Scattering from Nuclei in the $\mathbf{\Delta }$-Region beyond the Relativistic Fermi Gas Model
• A realistic spectral function model for charged-current quasielastic-like neutrino and antineutrino cross sections on ${}^{12}$C
• Relativistic descriptions of quasielastic charged-current neutrino-nucleus scattering: application to scaling and superscaling ideas
• Scaling Function and Nucleon Momentum Distribution
• Meson-exchange currents and superscaling analysis with relativistic effective mass of quasielastic electron scattering from ${}^{12}$C
• Semi-inclusive charged-current neutrino-nucleus cross sections in the relativistic plane wave impulse approximation
• Semiempirical formula for electroweak response functions in the two-nucleon emission channel in neutrino-nucleus scattering
• Superscaling analysis of quasielastic electron scattering with relativistic effective mass
• Electromagnetic scaling functions within the Green's Function Monte Carlo approach
• Estimate of the theoretical uncertainty of the cross sections for nucleon knockout in neutral-current neutrino-oxygen interactions
• Superscaling analysis of the Coulomb Sum Rule in quasielastic electron-nucleus scattering
• Longitudinal and Transverse Scaling Functions within the Coherent Density Fluctuation Model
• Scaling within the Spectral Function approach
• Superscaling Predictions for Neutral Current Quasielastic Neutrino-Nucleus Scattering
• Final-State Interactions in the Superscaling Analysis of Neutral-Current Quasielastic Neutrino Scattering
• y-scaling in Quasielastic Electron Scattering from Nuclei
• Neutral Current Neutrino-Nucleus Scattering. Theory
• A substandard candle: the low-$\nu$ method at few-GeV neutrino energies
• Parity violation in quasielastic electron-nucleus scattering within the relativistic impulse approximation
• A Model for BCS-Type Correlations in Superscaling
• Nuclear effects in charged-current quasielastic neutrino-nucleus scattering
• Neutrino-Nucleus scattering in the SuSA model
• Connecting scaling with short-range correlations
• Superscaling of non-quasielastic electron-nucleus scattering
• Analysis of quasielastic $(e,e^{\prime })$ electromagnetic responses and scaling for nuclear matter in the relativistic mean field model