Abstract
The $\ensuremath{\beta}$ decay of the $N=Z$ nucleus $^{72}\text{Kr}$ has been studied with the total absorption spectroscopy technique at ISOLDE (CERN). A total $B(\text{GT})=0.79(4){g}_{A}^{2}/4\ensuremath{\pi}$ has been found up to an excitation energy of 2.7 MeV. The $B(\text{GT})$ distribution obtained is compared with predictions from state-of-the-art theoretical calculations to learn about the ground state deformation of $^{72}\text{Kr}$. Although a dominant oblate deformation is suggested by direct comparison with quasiparticle random phase approximation (QRPA) calculations, beyond-mean-field and shell-model calculations favor a large oblate-prolate mixing in the ground state.
Highlights
The study of the structure of neutron-deficient atomic nuclei with A ≈ 70–80 is challenging for both experiment and theory
The β decay of the N = Z nucleus 72Kr has been studied with the total absorption spectroscopy technique at ISOLDE (CERN)
A dominant oblate deformation is suggested by direct comparison with quasiparticle random phase approximation (QRPA) calculations, beyond-mean-field and shell-model calculations favor a large oblate-prolate mixing in the ground state
Summary
The study of the structure of neutron-deficient atomic nuclei with A ≈ 70–80 is challenging for both experiment and theory. It is worth noting that, in contrast with previous experiments, this investigation concerns only the ground state It was shown in the pioneering work of Hamamoto and Zhang [16] that the energy dependence of the reduced Gamow-Teller transition probability, namely the B(GT) distribution, for nuclei in the mass region A ≈ 70–80 depends sensitively on the nuclear shape. The study of those nuclei predicted to have an oblate deformed shape in their ground state, such as 70Br or 72Kr [1,2], is of great interest The latter case is the subject of the present work thanks to the reasonably good yields available at the ISOLDE (CERN) facility. Previous studies on the shapes of nuclei in the mass region using this procedure and the same experimental setup have provided conclusive results for 76Sr [4], 78Sr [20] (both prolate), and 74Kr [21] (shape mixing)
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