Scaling function and nucleon momentum distribution

Scaling studies of inclusive quasielastic electron scattering reactions have been used in the past as a basic tool to obtain information on the nucleon momentum distribution in nuclei. However, the connection between the scaling function, extracted from the analysis of cross-section data, and the sp...

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Main Authors: Ivanov, M. V., Antonov, A. N., Barbaro, M. B., Caballero, J. A., Donnelly, T William
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:en_US
Published: American Physical Society 2010
Online Access:http://hdl.handle.net/1721.1/58593
https://orcid.org/0000-0002-3524-1432
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author Ivanov, M. V.
Antonov, A. N.
Barbaro, M. B.
Caballero, J. A.
Donnelly, T William
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Ivanov, M. V.
Antonov, A. N.
Barbaro, M. B.
Caballero, J. A.
Donnelly, T William
author_sort Ivanov, M. V.
collection MIT
description Scaling studies of inclusive quasielastic electron scattering reactions have been used in the past as a basic tool to obtain information on the nucleon momentum distribution in nuclei. However, the connection between the scaling function, extracted from the analysis of cross-section data, and the spectral function only exists assuming very restricted approximations. We revisit the basic expressions involved in scaling studies and how they can be linked to the nucleon momentum distribution. In particular, the analysis applied in the past to the so-called scaling region, that is, negative values of the scaling variable y, is extended here to positive y, as a “universal” superscaling function has been extracted from the analysis of the separated longitudinal data. This leads to results that clearly differ from those based solely on the negative-y scaling region, providing new information on how the energy and momentum are distributed in the spectral function.
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spelling mit-1721.1/585932023-02-26T02:25:55Z Scaling function and nucleon momentum distribution Ivanov, M. V. Antonov, A. N. Barbaro, M. B. Caballero, J. A. Donnelly, T William Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Massachusetts Institute of Technology. Department of Physics Donnelly, T. William Donnelly, T. William Scaling studies of inclusive quasielastic electron scattering reactions have been used in the past as a basic tool to obtain information on the nucleon momentum distribution in nuclei. However, the connection between the scaling function, extracted from the analysis of cross-section data, and the spectral function only exists assuming very restricted approximations. We revisit the basic expressions involved in scaling studies and how they can be linked to the nucleon momentum distribution. In particular, the analysis applied in the past to the so-called scaling region, that is, negative values of the scaling variable y, is extended here to positive y, as a “universal” superscaling function has been extracted from the analysis of the separated longitudinal data. This leads to results that clearly differ from those based solely on the negative-y scaling region, providing new information on how the energy and momentum are distributed in the spectral function. United States. Dept. of Energy (Cooperative Agreement DE-FC02-94ER40818) Spanish Consolider-Ingenio programme CPAN (Grant No. CSD2007-00042) Andalusia (Spain) INFN-CICYT ( collaboration agreements INFN08-20 and FPA2008-03770-E/INFN) BulgarianNational Science Fund under (DO-02-285 and DID- 02/16-17.12.2009) 2010-09-17T20:46:10Z 2010-09-17T20:46:10Z 2010-05 2010-03 Article http://purl.org/eprint/type/JournalArticle 0556-2813 http://hdl.handle.net/1721.1/58593 Caballero, J. A. et al. "Scaling function and nucleon momentum distribution." Physical Review C 81.5 (2010): 055502. © 2010 The American Physical Society https://orcid.org/0000-0002-3524-1432 en_US http://dx.doi.org/10.1103/PhysRevC.81.055502 Physical Review C Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS
spellingShingle Ivanov, M. V.
Antonov, A. N.
Barbaro, M. B.
Caballero, J. A.
Donnelly, T William
Scaling function and nucleon momentum distribution
title Scaling function and nucleon momentum distribution
title_full Scaling function and nucleon momentum distribution
title_fullStr Scaling function and nucleon momentum distribution
title_full_unstemmed Scaling function and nucleon momentum distribution
title_short Scaling function and nucleon momentum distribution
title_sort scaling function and nucleon momentum distribution
url http://hdl.handle.net/1721.1/58593
https://orcid.org/0000-0002-3524-1432
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