Using electron scattering superscaling to predict charge-changing neutrino cross sections in nuclei

J. E. Amaro, M. B. Barbaro, J. A. Caballero, T. W. Donnelly, A. Molinari, and I. Sick
Phys. Rev. C 71, 015501 – Published 27 January 2005

Abstract

Superscaling analyses of few-GeV inclusive electron scattering from nuclei are extended to include not only quasielastic processes, but also the region where Δ excitation dominates. With reasonable assumptions about the basic nuclear scaling function extracted from data and information from other studies of the relative roles played by correlation and meson-exchange-current effects, it is shown that the residual strength in the resonance region can be accounted for through an extended scaling analysis. One observes scaling upon assuming that the elementary cross section by which one divides the residual to obtain a new scaling function is dominated by the NΔ transition and employing a new scaling variable suited to the resonance region. This yields a good representation of the electromagnetic response in both the quasielastic and Δ regions. The scaling approach is then inverted and predictions are made for charge-changing neutrino reactions at energies of a few GeV, with focus placed on nuclei that are relevant to neutrino oscillation measurements. For this, a relativistic treatment of the required weak interaction vector and axial-vector currents for both quasielastic and Δ-excitation processes is presented.

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  • Received 1 October 2004

DOI:https://doi.org/10.1103/PhysRevC.71.015501

©2005 American Physical Society

Authors & Affiliations

J. E. Amaro1, M. B. Barbaro2, J. A. Caballero3, T. W. Donnelly4, A. Molinari2, and I. Sick5,*

  • 1Departamento de Física Moderna, Universidad de Granada, E-18071 Granada, Spain
  • 2Dipartimento di Fisica Teorica, Università di Torino, and INFN, Sezione di Torino, Via P. Giuria 1, I-10125 Torino, Italy
  • 3Departamento de Física Atómica, Molecular y Nuclear, Universidad de Sevilla, Apdo. 1065, E-41080 Sevilla, Spain
  • 4Center for Theoretical Physics, Laboratory for Nuclear Science, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 5Departement für Physik und Astronomie, Universität Basel, CH-4056 Basel, Switzerland

  • *To contact collaboration, send e-mail to: Ingo.Sick@unibas.ch.

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Vol. 71, Iss. 1 — January 2005

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