The $\beta$ decay of ${}^{101,102}\mathrm{Zr}$ and ${}^{109}\mathrm{Tc}$ was studied using the technique of total absorption spectroscopy. The experiment was performed at the National Superconducting Cyclotron Laboratory using the Summing NaI(Tl) (SuN) detector in the first-ever application of total absorption spectroscopy with a fast beam produced via projectile fragmentation. The $\beta$-decay feeding intensity and Gamow-Teller transition strength distributions were extracted for these three decays. The extracted distributions were compared to three different quasiparticle random-phase approximation (QRPA) models based on different mean-field potentials. A comparison with calculations from one of the QRPA models was performed to learn about the ground-state shape of the parent nucleus. For ${}^{101}\mathrm{Zr}$ and ${}^{102}\mathrm{Zr}$, calculations assuming a pure shape configuration (oblate or prolate) were not able to reproduce the extracted distributions. These results may indicate that some type of mixture between oblate and prolate shapes is necessary to reproduce the extracted distributions. For ${}^{109}\mathrm{Tc}$, a comparison of the extracted distributions with QRPA calculations suggests a dominant oblate configuration. The other two QRPA models are commonly used to provide $\beta$-decay properties in $r$-process network calculations. This work shows the importance of making comparisons between the experimental and theoretical $\beta$-decay distributions, rather than just half-lives and $\beta$-delayed neutron emission probabilities, as close to the $r$-process path as possible.

中文翻译：

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Zr101,102和Tc109β衰变的全吸收光谱

这 $\beta$ 的衰变 ${}^{101，102}锆$ 和 ${}^{109}c$使用全吸收光谱技术研究了。该实验是在国家超导回旋加速器实验室中使用求和NaI（Tl）（SuN）检测器进行的，这是有史以来首次应用总吸收光谱法，并通过弹丸碎裂产生了快速射束。这$\beta$提取这三个衰变的衰变进食强度和Gamow-Teller转变强度分布。基于不同的平均场电势，将提取的分布与三种不同的准粒子随机相位近似（QRPA）模型进行比较。与来自QRPA模型之一的计算结果进行了比较，以了解父核的基态形状。为了${}^{101}锆$ 和 ${}^{102}锆$，假设纯形状配置（扁圆形或扁圆形）的计算无法再现提取的分布。这些结果可能表明，扁圆形和扁圆形之间需要某种类型的混合，才能再现提取的分布。为了${}^{109}c$，将提取的分布与QRPA计算结果进行比较表明，主要的扁圆形结构。其他两种QRPA模型通常用于提供$\beta$中的衰减属性 $\mathrm{[R}$-处理网络计算。这项工作表明在实验和理论之间进行比较的重要性$\beta$衰减的分布，而不仅仅是半衰期和 $\beta$延迟的中子发射概率，与 $\mathrm{[R}$-过程路径。