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

TL;DR

This paper provides empirical parameterizations of nuclear electromagnetic form factors for ${\rm ^{27}Al}$ and ${\rm ^{40}Ca}$, aiding calculations in electron scattering experiments and testing nuclear models at low energies.

Contribution

It introduces new empirical parameterizations of form factors for specific nuclei, essential for accurate radiative correction calculations and nuclear excitation studies.

Findings

Parameterizations cover elastic and inelastic regions.

Aid in radiative correction calculations.

Support testing of nuclear models.

Abstract

We report on empirical parameterizations of longitudinal (${\cal R}_L$) and transverse (${\cal R}_T$) nuclear electromagnetic form factors for elastic scattering and the excitations of nuclear states in ${\rm ^{27}Al}$ and ${\rm ^{40}Ca}$. The parameterizations are needed for the calculations of radiative corrections in measurements of electron scattering cross sections on ${\rm ^{27}Al}$ and ${\rm ^{40}Ca}$ 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.