Non-axial Octupole Deformed Nuclei Coriolis Mixing of the K=1 and K=0

… -deformed limit, where the Coriolis effect is negligible, it is a … there may exist strong K mixing among the same Сπ states be… band structures for the non-axial octupole shapes have been …

… The octupole mixing between the high-j intruder states and … In practice it means that a possible inclusion of non-axial … (b) The Coriolis couplings to K # 0 octupole bands which increase …

… doublets arises from coupling to non-axial modes 3 . The full … , since the intrinsic parity is mixed. The same band heads may … the core rotational band leads to Coriolis ‘decoupling’ of the …

… the zeropoint motion in other octupole degrees of freedom, α3,μ=… of rotational-band mixing and the Coriolis mixing, cf [12–14], … treated in this text involve non-axial shapes and thus using …

The size of a ΔK=0 M1 excitation strength has been determined for the first time in a predominantly axially deformed even-even nucleus. It has been obtained from the observation of a rare K-mixing situation between two close-lying J^{π}=1^{+} states of the nucleus ^{164}Dy with components characterized by intrinsic projection quantum numbers K=0 and K=1. Nuclear resonance fluorescence induced by quasimonochromatic linearly polarized γ-ray beams provided evidence for K mixing of the 1^{+} states at 3159.1(3) and 3173.6(3) keV in excitation energy from their γ-decay branching ratios into the ground-state band. The ΔK=0 transition strength of B(M1;0_{1}^{+}→1_{K=0}^{+})=0.008(1)μ_{N}^{2} was inferred from a mixing analysis of their M1 transition rates into the ground-state band. It is in agreement with predictions from the quasiparticle phonon nuclear model. This determination represents first experimental information on the M1 excitation strength of a nuclear quantum state with a negative R-symmetry quantum number.

The Coriolis matrix elements responsible for mixing of the 1+K=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1^+ K=1$$\end{document} and 1+K=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1^+ K=0$$\end{document} states are calculated in the framework of the Quasiparticle Phonon Model for several Gd and Dy isotopes. In many considered cases these matrix elements are equal to several tens of keV and are comparable with energy distances between the mixed levels. The results obtained indicates that Gd isotopes could be more suitable for finding deviations from Alaga rules in M1 transitions from 1+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1^+$$\end{document} state to the states of the ground band.

… the nuclei of this region (/i ~ 0.30), we assumed that, up to its phase, each configuration occurs with the same weight. Thus for the K'= 1 and K'= 0 we have the following wave functions: …

… the level at 1711 keV has K =0. The opposite situation is … For the nuclei examined in this study this ratio is )2.9; therefore it is … We note that the number of states with K =1 is roughly twice …

… quadrupole–octupole motion with Coriolis interaction We consider that the even–even core … respect to the quadrupole β2 and octupole β3 axial deformation variables mixed through a …

… In this paper, we present a model for detailed Coriolis coupling of the 2qp rotational bands in the even-even nuclei. A detailed application of this model has been made to …

… The ground states of eveneven nuclei in this region are prolate spheroidal, and the … or octupole Y32 shape deformation or vibration can facilitate K mixing in lower order than by Coriolis …