Shape coexistence in the light krypton isotopes was studied in two low-energy Coulomb excitation experiments using radioactive ${}^{74}\mathrm{Kr}$ and ${}^{76}\mathrm{Kr}$ beams from the SPIRAL facility at GANIL. The ground-state bands in both isotopes were populated up to the $8^{+}$ state via multi-step Coulomb excitation, and several non-yrast states were observed. Large sets of matrix elements were extracted for both nuclei from the observed γ-ray yields. Diagonal matrix elements were determined by utilizing the reorientation effect. In both isotopes the spectroscopic quadrupole moments for the ground-state bands and the bands based on excited $0_2^{+}$ states are found to have opposite signs. The experimental data are interpreted within a phenomenological two-band mixing model and model-independent quadrupole invariants are deduced for the relevant $0^{+}$ states using the complete sets of matrix elements and the formalism of quadrupole sum rules. Configuration mixing calculations based on triaxial Hartree-Fock-Bogolyubov calculations with the Gogny D1S effective interaction have been performed and are compared both with the experimental results and with recent calculations using the Skyrme SLy6 effective interaction and the full generator-coordinate method restricted to axial shapes.

• Received 2 February 2007

DOI:https://doi.org/10.1103/PhysRevC.75.054313