Extraction of the Coulomb Sum Rule, Transverse Enhancement, and Longitudinal Quenching from an Analysis of all Available e-$^{12}$C and e-$^{16}$O Cross Section Data
| Autor: | Bodek, A., Christy, M. E. |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Phys. Rev. C 106, L061305 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevC.106.L061305 |
| Popis: | We report on 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 (QE) superscaling model (including Pauli blocking). All QE 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 QE response function ($R_T^{QE}$) and quenching of the QE longitudinal response function ($R_L^{QE}$) 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 $SL({\bf q})$. We extract the most accurate determination of $SL({\bf q})$ to date and find it to be in reasonable agreement with recent theoretical calculations. Comment: 9 pages, 7 figures, revised version accepted for publication in Phys. Rev. D (letter) |
| Databáze: | arXiv |
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