Parameterizations of Electron Scattering Form Factors for Elastic Scattering and Electro-Excitation of Nuclear States for ${}^{27}\mathrm{Al}$ and ${}^{40}\mathrm{Ca}$

Abstract

We report on empirical parameterizations of longitudinal (${\mathcal{R}}_L$) and transverse (${\mathcal{R}}_T$) nuclear electromagnetic form factors for elastic scattering and the excitations of nuclear states in ${}^{27}\mathrm{Al}$ and ${}^{40}\mathrm{Ca}$. The parameterizations are needed for the calculations of radiative corrections in measurements of electron scattering cross sections on ${}^{27}\mathrm{Al}$ and ${}^{40}\mathrm{Ca}$ in the quasi-elastic, resonance and inelastic continuum regions, provide the contribution of nuclear excitations in investigations of the Coulomb Sum Rule, and test theoretical model predictions for excitation of nuclear states in electron and neutrino interactions on nuclear targets at low energies.

12 pages, 12 figures, submitted to Phys. Rev. C

References in corpus (4)

• First Determination of the 27Al Neutron Distribution Radius from a Parity-Violating Electron Scattering Measurement
• 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
• Uncertainty quantification for $\mu \to e$ conversion in nuclei: charge distributions
• Contribution of Nuclear Excitation Electromagnetic Form Factors in ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$ to the Coulomb Sum Rule