Conforming the measured lifetimes of the $5d \ ^2D_{3/2,5/2}$ states in Cs with theory
Conforming the measured lifetimes of the $5d \ ^2D_{3/2,5/2}$ states in Cs with theory
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DOI：
10.1103/physreva.93.022503
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发表时间：
2015-10
影响因子：
2.9
通讯作者：
B. Sahoo
中科院分区：
文献类型：
--
作者：
B. Sahoo
我们发现Cs的$5d2D_{3/2}$和$5d2D_{5/2}$态的理论计算寿命与文献[Phys.Rev.A，4204（1998）]中报道的实验值非常吻合，而文献[Phys.Rev.A，4204（1998）]中的实验值与先前严格的理论研究[Phys.Rev.A，4204（1998）]不一致。040501（R）（2004）]和另一种精确测量[Opt. Lett.，74（1996）]。在这项工作中，我们已经进行了计算的辐射跃迁矩阵元素，使用相对论多体方法的许多变种，主要是在耦合簇理论框架，并分析传播的电子相关效应，以阐明其作用的矩阵元素的准确评估。我们还证明了狄拉克-库仑相互作用，频率无关Breit相互作用和低阶量子电动力学（QED）效应的贡献。估计了由于不同可能的误差来源而导致的这些矩阵元素的不确定性。通过结合我们计算的辐射矩阵元与跃迁波长的实验值，我们得到了由于允许和低阶禁戒通道的跃迁几率。将这些量加在一起，精确地确定了上述两种状态的寿命，并指出了早期理论计算与实验结果之间不一致的合理原因。
We find very good agreement between our theoretically evaluated lifetimes of the $5d \ ^2D_{3/2}$ and $5d \ ^2D_{5/2}$ states of Cs with the experimental values reported in [Phys. Rev. A {\bf 57}, 4204 (1998)], which were earlier evinced to be disagreeing with an earlier rigorous theoretical study [Phys. Rev. A {\bf 69}, 040501(R) (2004)] and with another precise measurement [Opt. Lett. {\bf 21}, 74 (1996)]. In this work, we have carried out calculations of the radiative transition matrix elements using many variants of relativistic many-body methods, mainly in the coupled-cluster theory framework, and analyze propagation of the electron correlation effects to elucidate their roles for accurate evaluations of the matrix elements. We also demonstrate contributions explicitly from the Dirac-Coulomb interactions, frequency independent Breit interaction and lower order quantum electrodynamics (QED) effects. Uncertainties to these matrix elements due to different possible sources of errors are estimated. By combining our calculated radiative matrix elements with the experimental values of the transition wavelengths, we obtain the transition probabilities due to both the allowed and lower order forbidden channels. Adding these quantities together, the lifetimes of the above two states are determined precisely and plausible reasons for the reported inconsistencies between the earlier theoretical calculations and the experimental results have been pointed out.