Nuclear isospin mixing and elastic parity-violating electron scattering
arXiv:0806.0552 · doi:10.1016/j.nuclphysa.2009.07.011
Abstract
The influence of nuclear isospin mixing on parity-violating elastic electron scattering is studied for the even-even, N=Z nuclei 12C, 24Mg, 28Si, and 32S. Their ground-state wave functions have been obtained using a self-consistent axially-symmetric mean-field approximation with density-dependent effective two-body Skyrme interactions. Some differences from previous shell-model calculations appear for the isovector Coulomb form factors which play a role in determining the parity-violating asymmetry. To gain an understanding of how these differences arise, the results have been expanded in a spherical harmonic oscillator basis. Results are obtained not only within the plane-wave Born approximation, but also using the distorted-wave Born approximation for comparison with potential future experimental studies of parity-violating electron scattering. To this end, for each nucleus the focus is placed on kinematic ranges where the signal (isospin-mixing effects on the parity-violating asymmetry) and the experimental figure-of-merit are maximized. Strangeness contributions to the asymmetry are also briefly discussed, since they and the isospin mixing contributions may play comparable roles for the nuclei being studied at the low momentum transfers of interest in the present work.
25 pages, 9 figures
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- Elastic and quasi-elastic electron scattering off nuclei with neutron excess
- Nuclear shape transitions and elastic magnetic electron scattering
- Theoretical study on nuclear structure by the multiple Coulomb scattering and magnetic scattering of relativistic electrons
- Nuclear Structure Uncertainties in Parity-Violating Electron Scattering from Carbon 12
- A unified approach to electron and neutrino elastic scattering off nuclei with an application to the study of the axial structure
- Evaluation of theoretical uncertainties in parity-violating electron scattering from nucleons and nuclei
- Charge Symmetry Breaking in Electromagnetic Nucleon Form Factors in Elastic Parity-Violating Electron-Nucleus Scattering