Transverse Enhancement, Longitudinal Quenching and Coulomb Sum Rule in e-$^{12}$C and e-$^{16}$O Scattering
A. Bodek* and M.E. Christy
Pre-published on:
October 22, 2022
Published on:
June 15, 2023
Abstract
We present a short summary of a phenomenological analysis of all available electron scattering data on ${\rm ^{12}C}$ (about 6600 differential cross section measurements) and on ${\rm ^{16}O}$ (about 250 measurements) within the framework of the quasielastic superscaling model (including Pauli blocking). All quasielastic and inelastic cross section measurements are included down to the lowest momentum transfer $\bf q$ (including photo-production data). We find that there is enhancement of the transverse quasielastic response function and quenching of the longitudinal response function at low $\bf q$ (in addition to Pauli blocking). We extract parameterizations of a $multiplicative$ low $\bf q$ "Longitudinal Quenching Factor" and an $additive$ "Transverse Enhancement" contribution. Additionally, we find that the excitation of nuclear states contribute significantly (up to 30\%) to the Coulomb Sum Rule. We extract the most accurate determination of the sum rule to date and find it to be in disagreement with random phase approximation based calculations but in reasonable agreement with recent theoretical calculations such as "First Principle Green's Function Monte Carlo".
DOI: https://doi.org/10.22323/1.414.0554
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