Improved Superscaling in Quasielastic Electron Scattering with Relativistic Effective Mass
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AuthorRodríguez Casalé, Paloma; Amaro Soriano, José Enrique; Martínez Consentino, Víctor Leopoldo; Ruiz Simó, Ignacio Luis
Quasielastic electron scatteringSuperscaling analysisRelativistic mean fieldRelativistic effective mass
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. [https://doi.org/10.3390/universe9040158]
SponsorshipMCIN/AEI PID2020-114767GB-I00; FEDER/Junta de Andalucia-Consejeria de Transformacion Economica, Industria, Conocimiento y Universidades A-FQM-390-UGR20; Junta de Andalucia FQM-225
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.