Improved superscaling description of electron and charged-current neutrino quasielastic scattering using effective mass dynamics

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Autori principali: Martinez-Consentino, V. L., Casale, P. R., Amaro, J. E.
Natura: Preprint
Pubblicazione: 2025
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author Martinez-Consentino, V. L.
Casale, P. R.
Amaro, J. E.
author_facet Martinez-Consentino, V. L.
Casale, P. R.
Amaro, J. E.
contents We present an improved version of the Superscaling Analysis with Relativistic Effective Mass, denoted as SuSAM-v2. In the original SuSAM model, a universal scaling function was fitted to a selected set of quasielastic electron scattering (e,e') cross section data, using a phenomenological ansatz inspired by the Relativistic Mean Field model of nuclear matter. In this work, we refine the procedure by first fitting a longitudinal scaling function directly to experimental longitudinal response data. Subsequently, a separate transverse scaling function is extracted from purely transverse data, after subtracting the longitudinal contribution already determined. We find that the resulting transverse scaling function must exhibit an explicit dependence on the momentum transfer q in order to reproduce all kinematics consistently. The resulting SuSAM-v2 model simultaneously describes inclusive quasielastic cross sections and both longitudinal and transverse response functions in electron scattering. The model is then applied to neutrino-nucleus scattering, showing an improved prediction compared to the previous SuSAM-v1 version, due to a more accurate treatment of the relative contributions of the longitudinal and transverse weak nuclear responses.
format Preprint
id arxiv_https___arxiv_org_abs_2506_03934
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Improved superscaling description of electron and charged-current neutrino quasielastic scattering using effective mass dynamics
Martinez-Consentino, V. L.
Casale, P. R.
Amaro, J. E.
High Energy Physics - Phenomenology
Nuclear Theory
We present an improved version of the Superscaling Analysis with Relativistic Effective Mass, denoted as SuSAM-v2. In the original SuSAM model, a universal scaling function was fitted to a selected set of quasielastic electron scattering (e,e') cross section data, using a phenomenological ansatz inspired by the Relativistic Mean Field model of nuclear matter. In this work, we refine the procedure by first fitting a longitudinal scaling function directly to experimental longitudinal response data. Subsequently, a separate transverse scaling function is extracted from purely transverse data, after subtracting the longitudinal contribution already determined. We find that the resulting transverse scaling function must exhibit an explicit dependence on the momentum transfer q in order to reproduce all kinematics consistently. The resulting SuSAM-v2 model simultaneously describes inclusive quasielastic cross sections and both longitudinal and transverse response functions in electron scattering. The model is then applied to neutrino-nucleus scattering, showing an improved prediction compared to the previous SuSAM-v1 version, due to a more accurate treatment of the relative contributions of the longitudinal and transverse weak nuclear responses.
title Improved superscaling description of electron and charged-current neutrino quasielastic scattering using effective mass dynamics
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2506.03934