We discuss a possibility that the so-called reactor antineutrino anomaly (RAA), which is a deficit of the ${\overline{\nu }}_e$ rates in the reactor experiments in comparison to the theoretical expectations, can at least in part be explained by applying a quantum field-theoretical approach to neutrino oscillations, which in particular predicts a small deviation from the classical inverse-square law at short (but still macroscopic) distances between the neutrino source and detector. An extensive statistical analysis of the current reactor data on the integrated ${\overline{\nu }}_e$ event rates vs. baseline is performed to examine this speculation. The obtained results are applied to study another long-standing puzzle—gallium neutrino anomaly (GNA), which is a missing ${\nu }_e$ flux from ${}^{37}$Ar and ${}^{51}$Cr electron-capture decays as measured by the gallium–germanium solar neutrino detectors GALLEX and SAGE.

中文翻译：

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反平方定律违反背景下的反应堆反中微子异常再分析

我们讨论了所谓的反应堆反中微子异常 (RAA) 的可能性，它是 ${\overline{\nu }}_{\mathrm{电子}}$与理论预期相比，反应堆实验中的速率，至少可以部分通过将量子场论方法应用于中微子振荡来解释，该方法特别预测短期内与经典平方反比定律的小偏差（但仍然宏观）中微子源和探测器之间的距离。对当前反应堆数据的综合统计分析${\overline{\nu }}_{\mathrm{电子}}$执行事件率 vs. 基线来检查这个推测。所得结果用于研究另一个长期存在的谜题——镓中微子异常（GNA），这是一个缺失的${\nu }_{\mathrm{电子}}$ 流量来自 ${}^{37}$氩气和 ${}^{51}$由镓-锗太阳中微子探测器 GALLEX 和 SAGE 测量的 Cr 电子俘获衰变。