Final-state interactions and superscaling in the semi-relativistic approach to quasielastic electron and neutrino scattering

Abstract

The semi-relativistic approach to electron and neutrino quasielastic scattering from nuclei is extended to include final-state interactions. Starting with the usual non-relativistic continuum shell model, the problem is relativized by using the semi-relativistic expansion of the current in powers of the initial nucleon momentum and relativistic kinematics. Two different approaches are considered for the final-state interactions: the Smith-Wambach 2p-2h damping model and the Dirac-equation-based potential extracted from a relativistic mean-field plus the Darwin factor. Using the latter the scaling properties of $(e,e^{\prime })$ and $({\nu }_{\mu },{\mu }^{-})$ cross sections for intermediate momentum transfers are investigated.

36 pages, 17 figures

References in corpus (2)

• General study of superscaling in quasielastic $(e,e^{\prime })$ and $(\nu ,\mu )$ reactions using the relativistic impulse approximation
• NuFact05 Working Group 2 Summary: Experimental Results in Neutrino Scattering Physics

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• Scaling and isospin effects in quasielastic lepton-nucleus scattering in the Relativistic Mean Field Approach
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• Impact of nuclear effects on the determination of the nucleon axial mass
• Consistent analysis of neutral- and charged-current neutrino scattering off carbon
• Quasielastic Charged Current Neutrino-nucleus Scattering
• Superscaling and Charge-Changing Neutrino Scattering from Nuclei in the $\mathbf{\Delta }$-Region beyond the Relativistic Fermi Gas Model
• Scaling Function, Spectral Function and Nucleon Momentum Distribution in Nuclei
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• Superscaling and Neutral Current Quasielastic Neutrino-Nucleus Scattering beyond the Relativistic Fermi Gas Model
• Charged current anti-neutrino reactions from ${}^{12}$C at MiniBooNE energies
• Quasi-elastic neutrino charged-current scattering off C-12
• Relativistic descriptions of quasielastic charged-current neutrino-nucleus scattering: application to scaling and superscaling ideas
• Incoherent Neutrinoproduction of Photons and Pions in a Chiral Effective Field Theory for Nuclei
• Final-State Interactions in the Superscaling Analysis of Neutral-Current Quasielastic Neutrino Scattering
• Superscaling Predictions for Neutral Current Quasielastic Neutrino-Nucleus Scattering
• y-scaling in Quasielastic Electron Scattering from Nuclei
• Longitudinal and Transverse Scaling Functions within the Coherent Density Fluctuation Model
• Neutrino-Nucleus scattering in the SuSA model
• Superscaling of non-quasielastic electron-nucleus scattering