Abstract

E0 transitions are studied in nuclei with phonon and rotation-vibration spectra under the usual assumptions of the Bohr-Mottelson model. The rate of E0 transitions in strongly deformed nuclei is shown to be proportional to the square of the zero-point fluctuation amplitude of the β-vibrations. This quantity can be determined from experimental data in several independent ways. Where sufficient data are available the various values found for this amplitude are compared. The agreement found indicates additional prooffor the consistency of the model. Expressions for the branching ratio of competing E0 and E2 transitions are derived. Because of the similarity between the E0 and E2 operators, the branching ratio in the strong-coupling model is essentially given by the square of the equilibrium deformation. Contributions to the E2 transiton probability due to the rotation-vibration interaction are included and found to be appreciable in some cases. Disagreement with experimental branching ratios is noted and possible reasons are discussed.

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