Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Improved Superscaling in Quasielastic Electron Scattering with Relativistic Effective Mass

Version 1 : Received: 6 March 2023 / Approved: 7 March 2023 / Online: 7 March 2023 (02:04:58 CET)

A peer-reviewed article of this Preprint also exists.

Casale, P.R.; Amaro, J.E.; Martinez-Consentino, V.L.; Simo, I.R. Improved Superscaling in Quasielastic Electron Scattering with Relativistic Effective Mass. Universe 2023, 9, 158. Casale, P.R.; Amaro, J.E.; Martinez-Consentino, V.L.; Simo, I.R. Improved Superscaling in Quasielastic Electron Scattering with Relativistic Effective Mass. Universe 2023, 9, 158.

Abstract

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.

Keywords

quasielastic electron scattering; superscaling analysis; relativistic mean field; relativistic effective mass

Subject

Physical Sciences, Nuclear and High Energy Physics

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