Abstract
Gamow-Teller (GT) strength distributions of Mg isotopes are investigated within a framework of the deformed quasiparticle random-phase approximation. We found that the $N=20$ shell closure in ${}^{28\ensuremath{\sim}34}$Mg was broken by the prolate shape deformation originating from the $\mathit{fp}$-intruder states. The shell closure breaking gives rise to a shift of low-lying GT excited states into high-lying states. Discussions regarding the shell evolution trend of single-particle states around $N=20$ nuclei are also presented with the comparison to other approaches.
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