We investigate the Gamow-Teller (GT) transition strength distributions of {strongly} deformed nuclei, 24,26Mg, as well as of ¹⁸O. The calculations are performed within a deformed quasi-particle random phase approximation (DQRPA) which explicitly includes the deformation degree of freedom in the Skyrme-Hartree-Fock (SHF) and RPA calculations. The residual particle-particle ($p-p$) interaction as well as the particle-hole ($p-h$) interaction are extracted from Br\"uckner G-matrix calculations. The {residual interaction} dependence of the low-lying GT strength of these strongly deformed nuclei is examined by changing the strength of the residual $p-p$ and $p-h$ interactions. We have found that the low-lying GT peaks are quite similar in energy to those found in {spherical} $N=Z$ and $N=Z+2$ nuclei near magic shells, but the configurations {of 24,26Mg are largely mixed by} the pairing correlations and the deformation. Our results are compared to the experimental GT (±) transition data by (t, ³He) and (³He, t) reactions, {and found to reproduce the main features of GT strength distributions.
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Ha et al. (2024) studied this question.
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