测试⁷¹Ge电子俘获中的轻子波函数因子化
Testing Lepton Wave Function Factorization in $^{71}\text{Ge}$ Electron Capture
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中文总结 AI 辅助
本研究提出通用框架预测⁷¹Ge电子俘获率，采用非因子化处理研究相关相互作用，量化非因子化效应影响，将理论预测与实验平均值比较以评估相关领域现状。
中文摘要 AI 辅助
电子俘获比值为原子波函数以及原子核电子俘获中可能存在的非因子化效应提供了精确检验。通过利用精确的轻子波函数，我们提出了一个通用框架来预测⁷¹Ge的电子俘获率。采用对跃迁矩阵元的非因子化处理，我们研究了编码原子核结构贡献的原子核跃迁密度与轻子波函数之间的相互作用。利用唯象约束的跃迁密度，我们量化了非因子化效应对俘获率的影响。最后，我们将得到的L/K、M/K和M/L电子俘获比值的理论预测值与当前的实验世界平均值进行比较，对⁷¹Ge电子俘获的理论和实验现状提供了最新评估。
英文摘要
Electron-capture ratios provide precision tests of atomic wave functions and of possible non-factorization effects in nuclear electron capture. By exploiting exact leptonic wave functions, we present a general framework for predicting the electron capture rates of $^{71}\mathrm{Ge}$. Adopting a non-factorized treatment of the transition matrix element, we investigate the interplay between the nuclear transition density, which encodes the nuclear structure contribution, and the leptonic wave functions. Using phenomenologically constrained transition densities, we quantify the impact of non-factorization effects on the capture rates. Finally, we compare our theoretical predictions for the $L/K$, $M/K$ and $M/L$ electron capture ratios with the current experimental world averages, providing an up-to-date assessment of the theoretical and experimental status of $^{71}\mathrm{Ge}$ electron capture.
