论文标题

精确确定能级,超细结构常数,寿命和三翼电离锡同位素的偶极性极化

Accurate determination of energy levels, hyperfine structure constants, lifetimes and dipole polarizabilities of triply ionized tin isotopes

论文作者

Kaur, Mandeep, Nakra, Rishabh, Arora, Bindiya, Li, Cheng-Bin, Sahoo, B. K.

论文摘要

我们已经研究了能量,磁性偶极性超精细结构常数($ a_ {hyf} $)和电动离子化锡(Sn $^{3+} $)的许多低较低状态的电偶极子(E1)矩阵元素,该状态是通过使用相对论的coupled coupled cupled cupled cupled cupuster-cluster理论。从BR​​EIT相互作用和低阶量子电动力学(QED)的贡献也明确给出了上述数量的效果。发现这些高阶相对论效应对于准确评估能量很重要,而QED贡献被认为对$ a_ {hyf} $ values的确定有很大贡献。我们对能量的理论结果与其中一个测量结果一致,但通过另一种测量结果显示出某些州的显着差异。报告的$ a_ {hyf} $将有助于指导测量SN $^{3+} $的稳定同位素中的超精细水平。计算出的E1矩阵元件进一步用于估计许多州的振荡器强度,过渡概率和偶极极化($α$)。在许多状态下,观察到振荡器强度和过渡概率的先前计算之间存在很大的差异。估计的$α$值对于在将来的实验中使用SN $^{3+} $ ion进行高精度测量很有用。

We have investigated energies, magnetic dipole hyperfine structure constants ($A_{hyf}$) and electric dipole (E1) matrix elements of a number of low-lying states of the triply ionized tin (Sn$^{3+}$) by employing relativistic coupled-cluster theory. Contributions from the Breit interaction and lower-order quantum electrodynamics (QED) effects in determination of above quantities are also given explicitly. These higher-order relativistic effects are found to be important for accurate evaluation of energies, while QED contributions are seen to be contributing significantly to the determination of $A_{hyf}$ values. Our theoretical results for energies are in agreement with one of the measurements but show significant differences for some states with another measurement. Reported $A_{hyf}$ will be useful in guiding measurements of hyperfine levels in the stable isotopes of Sn$^{3+}$. The calculated E1 matrix elements are further used to estimate oscillator strengths, transition probabilities and dipole polarizabilities ($α$) of many states. Large discrepancies between present results and previous calculations of oscillator strengths and transition probabilities are observed for a number of states. The estimated $α$ values will be useful for carrying out high precision measurements using Sn$^{3+}$ ion in future experiments.

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