Improved Superscaling in Quasielastic Electron Scattering with Relativistic Effective Mass

Superscaling in electron scattering from nuclei is re-examined, paying special attention to the definition of the averaged single-nucleon responses. The validity of the extrapolation of nucleon responses in the Fermi gas has been examined, which previously lacked a theoretical foundation. To address...

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Main Authors: Paloma Rodriguez Casale, Jose E. Amaro, Victor L. Martinez-Consentino, Ignacio Ruiz Simo
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/9/4/158
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author Paloma Rodriguez Casale
Jose E. Amaro
Victor L. Martinez-Consentino
Ignacio Ruiz Simo
author_facet Paloma Rodriguez Casale
Jose E. Amaro
Victor L. Martinez-Consentino
Ignacio Ruiz Simo
author_sort Paloma Rodriguez Casale
collection DOAJ
description Superscaling in electron scattering from nuclei is re-examined, paying special attention to the definition of the averaged single-nucleon responses. The validity of the extrapolation of nucleon responses in the Fermi gas has been examined, which previously lacked a theoretical foundation. To address this issue, we introduce new averaged responses with a momentum distribution smeared around the Fermi surface, allowing for momenta above the Fermi momentum. This approach solves the problem of negativity in the extrapolation away from the scaling region and, at the same time, validates its use in the scaling analysis. This work has important implications for the interpretation of scaling data and contributes to the development of a more complete understanding of the scaling approach.
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spelling doaj.art-96e7de22f9eb489b8f872ebf787f683a2023-11-17T21:40:05ZengMDPI AGUniverse2218-19972023-03-019415810.3390/universe9040158Improved Superscaling in Quasielastic Electron Scattering with Relativistic Effective MassPaloma Rodriguez Casale0Jose E. Amaro1Victor L. Martinez-Consentino2Ignacio Ruiz Simo3Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, E-18071 Granada, SpainDepartamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, E-18071 Granada, SpainDepartamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, E-18071 Granada, SpainDepartamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, E-18071 Granada, SpainSuperscaling in electron scattering from nuclei is re-examined, paying special attention to the definition of the averaged single-nucleon responses. The validity of the extrapolation of nucleon responses in the Fermi gas has been examined, which previously lacked a theoretical foundation. To address this issue, we introduce new averaged responses with a momentum distribution smeared around the Fermi surface, allowing for momenta above the Fermi momentum. This approach solves the problem of negativity in the extrapolation away from the scaling region and, at the same time, validates its use in the scaling analysis. This work has important implications for the interpretation of scaling data and contributes to the development of a more complete understanding of the scaling approach.https://www.mdpi.com/2218-1997/9/4/158quasielastic electron scatteringsuperscaling analysisrelativistic mean fieldrelativistic effective mass
spellingShingle Paloma Rodriguez Casale
Jose E. Amaro
Victor L. Martinez-Consentino
Ignacio Ruiz Simo
Improved Superscaling in Quasielastic Electron Scattering with Relativistic Effective Mass
Universe
quasielastic electron scattering
superscaling analysis
relativistic mean field
relativistic effective mass
title Improved Superscaling in Quasielastic Electron Scattering with Relativistic Effective Mass
title_full Improved Superscaling in Quasielastic Electron Scattering with Relativistic Effective Mass
title_fullStr Improved Superscaling in Quasielastic Electron Scattering with Relativistic Effective Mass
title_full_unstemmed Improved Superscaling in Quasielastic Electron Scattering with Relativistic Effective Mass
title_short Improved Superscaling in Quasielastic Electron Scattering with Relativistic Effective Mass
title_sort improved superscaling in quasielastic electron scattering with relativistic effective mass
topic quasielastic electron scattering
superscaling analysis
relativistic mean field
relativistic effective mass
url https://www.mdpi.com/2218-1997/9/4/158
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AT victorlmartinezconsentino improvedsuperscalinginquasielasticelectronscatteringwithrelativisticeffectivemass
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