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Title: Superscaling analyses of inclusive electron scattering and their extension to charge-changing neutrino cross sections in nuclei

Abstract

Superscaling analyses of inclusive electron scattering from nuclei are extended from the quasielastic processes to the delta excitation region. The calculations of (e, e') cross sections for the target nucleus 12C at various incident electron energies are performed using scaling functions f({psi}prime;) obtained in approaches going beyond the mean-field approximation, such as the coherent density fluctuation model (CDFM) and the one based on the light-front dynamics (LFD) method. The superscaling properties of the electron scattering are used to predict charge-changing neutrino-nucleus cross sections at energies from 1 to 2 GeV. The analyses make it possible to gain information about the nucleon correlation effects on both local density and nucleon momentum distributions.

Authors:
; ;  [1];  [2];  [3];  [4];  [5];  [6];  [7];  [2]
  1. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia 1784 (Bulgaria)
  2. Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid (Spain)
  3. (Spain)
  4. Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Sevilla, Apdo. 1065, 41080 Sevilla (Spain)
  5. Dipartimento di Fisica Teorica, Universita di Torino, Via P. Giuria 1, 10125 Turin (Italy)
  6. (Italy)
  7. Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, Madrid E-28040 (Spain)
Publication Date:
OSTI Identifier:
21057172
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 899; Journal Issue: 1; Conference: 6. international conference of the Balkan Physical Union, Istanbul (Turkey), 22-26 Aug 2006; Other Information: DOI: 10.1063/1.2733028; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; APPROXIMATIONS; CARBON 12; CARBON 19; CORRELATIONS; CROSS SECTIONS; DISTRIBUTION; ELECTRONS; EXCITATION; FLUCTUATIONS; GAIN; GEV RANGE; MEAN-FIELD THEORY; NEUTRINO-NUCLEON INTERACTIONS; NEUTRINOS; NUCLEAR MODELS; NUCLEONS; QUASI-ELASTIC SCATTERING

Citation Formats

Antonov, A. N., Ivanov, M. V., Gaidarov, M. K., Moya de Guerra, E., Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, Madrid E-28040, Caballero, J. A., Barbaro, M. B., INFN, Sezione di Torino, Via P. Giuria 1, 10125 Turin, Udias, J. M., and Sarriguren, P. Superscaling analyses of inclusive electron scattering and their extension to charge-changing neutrino cross sections in nuclei. United States: N. p., 2007. Web. doi:10.1063/1.2733028.
Antonov, A. N., Ivanov, M. V., Gaidarov, M. K., Moya de Guerra, E., Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, Madrid E-28040, Caballero, J. A., Barbaro, M. B., INFN, Sezione di Torino, Via P. Giuria 1, 10125 Turin, Udias, J. M., & Sarriguren, P. Superscaling analyses of inclusive electron scattering and their extension to charge-changing neutrino cross sections in nuclei. United States. doi:10.1063/1.2733028.
Antonov, A. N., Ivanov, M. V., Gaidarov, M. K., Moya de Guerra, E., Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, Madrid E-28040, Caballero, J. A., Barbaro, M. B., INFN, Sezione di Torino, Via P. Giuria 1, 10125 Turin, Udias, J. M., and Sarriguren, P. Mon . "Superscaling analyses of inclusive electron scattering and their extension to charge-changing neutrino cross sections in nuclei". United States. doi:10.1063/1.2733028.
@article{osti_21057172,
title = {Superscaling analyses of inclusive electron scattering and their extension to charge-changing neutrino cross sections in nuclei},
author = {Antonov, A. N. and Ivanov, M. V. and Gaidarov, M. K. and Moya de Guerra, E. and Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, Madrid E-28040 and Caballero, J. A. and Barbaro, M. B. and INFN, Sezione di Torino, Via P. Giuria 1, 10125 Turin and Udias, J. M. and Sarriguren, P.},
abstractNote = {Superscaling analyses of inclusive electron scattering from nuclei are extended from the quasielastic processes to the delta excitation region. The calculations of (e, e') cross sections for the target nucleus 12C at various incident electron energies are performed using scaling functions f({psi}prime;) obtained in approaches going beyond the mean-field approximation, such as the coherent density fluctuation model (CDFM) and the one based on the light-front dynamics (LFD) method. The superscaling properties of the electron scattering are used to predict charge-changing neutrino-nucleus cross sections at energies from 1 to 2 GeV. The analyses make it possible to gain information about the nucleon correlation effects on both local density and nucleon momentum distributions.},
doi = {10.1063/1.2733028},
journal = {AIP Conference Proceedings},
number = 1,
volume = 899,
place = {United States},
year = {Mon Apr 23 00:00:00 EDT 2007},
month = {Mon Apr 23 00:00:00 EDT 2007}
}
  • Superscaling analyses of inclusive electron scattering from nuclei are extended from the quasielastic processes to the delta excitation region. The calculations of (e,e{sup '}) cross sections for the target nucleus {sup 12}C at various incident electron energies are performed using scaling functions f({psi}{sup '}) obtained in approaches going beyond the mean-field approximation, such as the coherent density fluctuation model (CDFM) and the one based on the light-front dynamics method. The results are compared with those obtained using the relativistic Fermi gas (RFG) model and the extended RFG model (ERFG). Our method utilizes in an equivalent way both basic nuclear quantities,more » density and momentum distributions, showing their role for the scaling and superscaling phenomena. The approach is extended to consider scaling function for medium and heavy nuclei with Z{ne}N for which the proton and neutron densities are not similar. The asymmetry of the CDFM quasielastic scaling function is introduced, simulating in a phenomenological way the effects that violate the symmetry for {psi}{sup '}{>=}0, including the role of the final-state interaction. The superscaling properties of the electron scattering are used to predict charge-changing neutrino-nucleus cross sections at energies from 1 to 2 GeV. A comparison with the results of the ERFG model is made. The analyses make it possible to gain information about the nucleon correlation effects on both local density and nucleon momentum distributions.« less
  • Superscaling analyses of few-GeV inclusive electron scattering from nuclei are extended to include not only quasielastic processes, but also the region where {delta} 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 N{yields}{delta} transitionmore » 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 {delta} 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 {delta}-excitation processes is presented.« less
  • The superscaling analysis using the scaling function obtained within the coherent density fluctuation model is extended to calculate charge-changing neutrino and antineutrino scattering on {sup 12}C at energies from 1 to 2 GeV not only in the quasielastic but also in the {delta} excitation region. The results are compared with those obtained using the scaling functions from the relativistic Fermi gas model and from the superscaling analysis of inclusive scattering of electrons from nuclei.
  • SuperScaling model (SuSA) predictions to neutrino-induced charged-current π{sup +} production in the Δ-resonance region are explored under MiniBooNE experimental conditions. The SuSA charged-current π{sup +} results are in good agreement with data on neutrino flux-averaged double-differential cross sections. The SuSA model for quasielastic scattering and its extension to the pion production region are used for predictions of charged-current inclusive neutrino-nucleus cross sections. Results are also compared with the T2K experimental data for inclusive scattering.
  • We investigate the degree to which the concept of superscaling, initially developed within the framework of the relativistic Fermi gas model, applies to inclusive electron scattering from nuclei. We find that data obtained from the low-energy loss side of the quasielastic peak exhibit the superscaling property; i.e., the scaling functions f({psi}{sup '}) are not only independent of momentum transfer (the usual type of scaling: scaling of the first kind), but coincide for A{>=}4 when plotted versus a dimensionless scaling variable {psi}{sup '} (scaling of the second kind). We use this behavior to study the as yet poorly understood properties ofmore » the inclusive response at large electron energy loss. (c) 1999 The American Physical Society.« less