Contribution of Nuclear Excitation Electromagnetic Form Factors in ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$ to the Coulomb Sum Rule

Abstract

We report on empirical parameterizations of longitudinal and transverse nuclear excitation electromagnetic form factors in ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$. We extract the contribution of nuclear excitations to the Normalized Inelastic Coulomb Sum Rule (\csr) as a function of momentum transfer $\mathbf{q}$ and find that it is significant (0.29$\pm$0.030 at $\mathbf{q}$= 0.22 GeV). The total contributions of nuclear excitations to $S_L(\mathbf{q})$ in ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$ are found to be equal within the uncertainties. Since the cross sections for nuclear excitations are significant, the radiative tails from nuclear excitations should be included in precise calculations of radiative corrections to quasielastic electron scattering at low $\mathbf{q}$ and deep-inelastic electron scattering at large energy transfers $\nu$. The parameterizations also serve as a benchmark in testing theoretical modeling of cross sections for excitation of nuclear states in electron and neutrino interactions on nuclear targets at low energies.

14 pages, 16 Figures, Submitted to Physical Review C

References in corpus (5)

• Vector and Axial Nucleon Form Factors:A Duality Constrained Parameterization
• Pair decay width of the Hoyle state and carbon production in stars
• Impact of low-energy nuclear excitations on neutrino-nucleus scattering at MiniBooNE and T2K kinematics
• Coulomb sum rule for ${}^4$He and ${}^{16}$O from coupled-cluster theory
• 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

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