Recent reviews of the hyperfine structure of xenon and krypton have highlighted the variety of the values taken by the hyperfine coefficients A and B of these atoms. These variations, as functions of the atomic angular momenta, were however not explained quantitatively. This article shows the simple picture and angular momentum algebra that make it possible to account for the observed trend. The only necessary approximations are to consider the interaction of the outer electron negligible with respect to the coupling of the p ⁵ core with the nucleus, and to assume that the Racah (p5)jℓ[K]JF basis, conventionally used for the atomic states of noble gases, makes a fitting description of the hierarchy of their angular momentum couplings. The way the calculation corroborates the apparently erratic values of hyperfine coefficients A and B in Xe I and Kr I shows up as a confirmation of the validity of these approximations.

中文翻译：

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Xe I 和 Kr I 原子的超精细结构中的角度模式

最近对氙气和氪气的超精细结构的评论强调了超精细系数所取值的多样性A和乙这些原子。然而，这些变化作为原子角动量的函数，并未得到定量解释。本文展示了可以解释观察到的趋势的简单图片和角动量代数。唯一必要的近似是考虑外层电子的相互作用相对于p ⁵核心与核心，并假设 Racah (p5个)jℓ[钾]杰F 通常用于惰性气体原子态的基础，对它们的角动量耦合的层次结构进行了恰当的描述。计算证实超精细系数明显不稳定的值的方式A和乙在 Xe I 和 Kr I 中显示为对这些近似值有效性的确认。