测量 $^{87}$Rb 第三禁止 β 衰变的电子能谱形状使用 Rb$_2$ZrCl$_6$ 晶体闪烁体
Electron spectral shape of the third-forbidden $β$-decay of $^{87}$Rb measured using a Rb$_2$ZrCl$_6$ crystal scintillator
AI总结：
利用 Rb$_2$ZrCl$_6$ 晶体闪烁体测量 $^{87}$Rb 第三禁止 β 衰变的电子能谱形状，以估计有效 $g_{\rm A}$ 值和半衰期。
摘要：
近年来，对 β 衰变电子能谱（通常称为 β 谱）的实验研究兴趣逐渐增长，特别是在 β 转移中，电子能谱对有效弱轴耦合强度 $g_{\rm A}$ 非常敏感。这些测量为核物理计算提供了重要的基准，并可用于表征天体粒子物理实验的背景。在本工作中，进行了一项专门实验，旨在研究 $^{87}$Rb 第三禁止 β 衰变的能谱形状，目标是估计该转移的有效 $g_{\rm A}$ 值以及推导 T$_{1/2}$ 值。这是通过将实验能谱形状与各种现象模型的估计进行比较来完成的。 $^{87}$Rb 源被直接嵌入到新型 Rb$_2$ZrCl$_6$ 晶体闪烁体的探测器材料中；数据采集是在 Gran Sasso 国家实验室地下深处进行的。所获得的实验半衰期值为 T$_{1/2} = 5.08(13) \times$ 10$^{10}$ 年；当考虑不确定性和根据所采用的模型进行讨论时，得到的 $g_{\rm A}$ 值在 0.4 到 0.6 范围内。
英文摘要：
In recent years, interest in experimental studies of $β$-decay electron spectra -- often referred to as $β$ spectra -- has been growing. This is particularly true for $β$ transitions where the electron spectra are sensitive to the effective value of the weak axial coupling, $g_{\rm A}$. Such measurements serve as important benchmarks for nuclear physics calculations and can also be used to characterize background in astroparticle physics experiments. In this work, a dedicated experiment has been carried out to investigate the spectral shape of the third-forbidden $^{87}$Rb $β$-decays, with the goal of estimating the effective $g_{\rm A}$ value for this transition and of deriving the T$_{1/2}$ value. This was done by comparing the experimental spectral shape with the estimates from various phenomenological models. The $^{87}$Rb source was embedded directly within the detector material of a new Rb$_2$ZrCl$_6$ crystal scintillator; the data taking was performed deep underground at Gran Sasso National Laboratory. The obtained experimental half-life value for the studied process is T$_{1/2} = 5.08(13) \times$ 10$^{10}$ yr; while a $g_{\rm A}$ value in the range 0.4 to 0.6 is obtained when accounting for uncertainties and depending on the model adopted as discussed in detail in the text.
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