The acceleration of decay induced by frequency measurements, namely the quantum anti-Zeno effect (AZE), was first predicted by Kofman and Kurizki [Nature 405 (2000) 546]. The effect of the frequency measurements on nuclear β decay rate is analyzed based on the time-dependent perturbation theory. We present a detailed calculation of the decay rates of ³H, ⁶⁰Co (β ⁻ type), ²²Na, ¹⁰⁶Ag (β ⁺ type) and ¹⁸F, ⁵⁷Co and ¹¹¹Sn (EC type) under frequency measurements. It is found that the effects of frequency measurements on the decay rates of β ⁺ and β ⁻ cases are different from the case of EC, and the smaller the β decay energy is, the more favorable it is to observe the AZE in experiment. Based on our analysis, it is suggested that possible experimental candidates should have a small decay energy and a reasonable half life (such as ³H) for observing the AZE in β decay.

Kofman 和 Kurizki [Nature 405 (2000) 546] 首次预测了由频率测量引起的衰减加速，即量子反芝诺效应 (AZE)。基于时间相关微扰理论分析了频率测量对核β衰变率的影响。我们详细计算了频率测量下³ H、⁶⁰ Co（β ^-型）、²² Na、¹⁰⁶ Ag（β ⁺型）和¹⁸ F、⁵⁷ Co 和¹¹¹ Sn（EC 型）的衰减率。发现频率测量对β衰减率的影响 ⁺和β ^-情况与 EC 的情况不同，β衰变能量越小，越有利于观察实验中的 AZE。根据我们的分析，建议可能的实验候选者应具有较小的衰变能量和合理的半衰期（例如³ H），以观察β衰变中的 AZE。