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Nuclear isospin mixing and elastic parity-violating electron scattering

AuthorsMoreno, Óscar; Sarriguren, Pedro ; Moya de Guerra, Elvira ; Udias, J. M. ; Donnelly, T. W.; Sick, I.
KeywordsParity-violating electron scattering
Nuclear isospin mixing
N = Z nuclei
Selfconsistent mean field
[PACS] Nuclear tests of fundamental interactions and symmetries
[PACS] Elastic electron scattering
[PACS] Nuclear Density Functional Theory and extensions (includes Hartree-Fock and random-phase approximations)
Issue Date15-Sep-2009
CitationNuclear Physics A 828 (3-4): 306–332 (2009)
AbstractThe 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.
Description27 pages, 3 tables, 9 figures.--PACS nrs.: 24.80.+y, 25.30.Bf, 21.60.Jz.-- Available on line on Jul 25, 2009.--ArXiv pre-print available at: http://arxiv.org/abs/0806.0552
Publisher version (URL)http://dx.doi.org/10.1016/j.nuclphysa.2009.07.011
Appears in Collections:(CFMAC-IEM) Artículos
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