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Evidence for rigid triaxial deformation in $^{76}$Ge from a model-independent analysis

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 نشر من قبل Akaa Daniel Ayangeakaa
 تاريخ النشر 2019
  مجال البحث
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An extensive, model-independent analysis of the nature of triaxial deformation in $^{76}$Ge, a candidate for neutrinoless double-beta ($0 ubetabeta$) decay, was carried out following multi-step Coulomb excitation. Shape parameters deduced on the basis of a rotational-invariant sum-rule analysis provided considerable insight into the underlying collectivity of the ground-state and $gamma$ bands. Both sequences were determined to be characterized by the same $beta$ and $gamma$ deformation parameter values. In addition, compelling evidence for low-spin, rigid triaxial deformation in $^{76}$Ge was obtained for the first time from the analysis of the statistical fluctuations of the quadrupole asymmetry deduced from the measured $E2$ matrix elements. These newly determined shape parameters are important input and constraints for calculations aimed at providing, with suitable accuracy, the nuclear matrix elements relevant to $0 ubetabeta$.



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