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Abstract
| This proposal is aimed at the precise measurement of the $\beta$ decays of $^{27}\text{Na}$ and $^{22}\text{O}$. Improved information on the $\beta$-intensity probabilities of these decays will shed light on the large isospin mirror asymmetry recently observed when compared with the decays of the corresponding mirror nuclei $^{27}\text{S}$ and $^{22}\text{Si}$. If confirmed, such a large isospin asymmetry could be interpreted as evidence of proton halo structures in $^{27}\text{S}$ and $^{22}\text{Al}$. We plan to exploit the potential and variety of the ISOLDE set-ups for decay spectroscopy. On the one hand, a total absorption $\gamma$-ray spectroscopy measurement of the $\beta$ decay of $^{27}\text{Na}$ is proposed, taking advantage of the sensitivity of this technique to determine the $\beta$ intensity above the neutron separation energy. On the other hand, for the study of $^{22}\text{O}$, we propose a measurement at the ISOLDE Decay Station intended to determine precisely the $\beta$ intensities populating the $1^+_1$ and $1^+_2$ states in $^{22}\text{F}$ and to look for evidence of $\beta$ feeding to a $1^+_3$ state. |