arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2201.07145physics.atom-ph
收藏

GROUP XII单元的二偶极和三偶极相互作用系数

Two-dipole and three-dipole interaction coefficients of GROUP XII elements

Neelam Shukla, Harpreet Kaur, Bindiya Arora, Rajesh Srivastava

摘要:

由于长程相互作用在冷原子物理学中的广泛应用,对长程相互作用的研究变得越来越重要。这些相互作用可以方便地用色散系数来表示。在目前的工作中,已进行了理论计算,以估计第十二族原子和它们的离子,\textit{viz.},Zn,Cd,Hg,Zn $^+$,Cd $^+$,Hg $^+$之间的双偶极子($C_6$)和三偶极子($C_9$)的色散系数。为了获得这些系数,动态偶极极化率和减少所需的矩阵元素进行评估,使用相对论方法考虑的原子和离子。此外,使用计算的矩阵元素,对应于领先的跃迁和静态偶极极化率的振子强度被确定。这些值与文献中的可用值进行比较,通过这些值,本计算的准确性得以提高。然而,以前没有报道过Zn、Cd、Hg、Zn $^+$、Cd $^+$和Hg $^+$的少数跃迁的振子强度,我们在这项工作中提供了它们的值。此后,计算第XII族元素的各种组合的色散$C_6$和$C_9$系数,并且这些系数中的大多数在文献中没有早期报道。此外,其他理论值和实验值可用于比较的组合显示出良好的一致性。因此,我们相信,我们的结果报告的$C_6$和$C_9$系数的各种组合的第十二族元素是可靠的。

英文摘要:

The study of long-range interactions is increasingly becoming essential due to its various applications in cold atomic physics. These interactions can be conveniently expressed in terms of dispersion coefficients. In the present work, theoretical calculations have been carried out to estimate the two-dipole ($C_6$) and three-dipole ($C_9$) dispersion coefficients between the group XII atoms and their ions, \textit{viz.}, Zn, Cd, Hg, Zn$^+$, Cd$^+$, and Hg$^+$. To obtain these coefficients, the dynamic dipole polarizabilities and reduced matrix elements required are evaluated using the relativistic methods for both the considered atoms and ions. Further, using the calculated matrix elements, the oscillator strengths corresponding to leading transitions and static dipole polarizabilities are determined. These are compared with the available values in the literature through which the accuracy of the present calculations ascertains. However, the oscillator strengths for few transitions of Zn, Cd, Hg, Zn$^+$, Cd$^+$, and Hg$^+$, are not reported earlier, and we have provided their values in this work. Thereafter, the dispersion $C_6$ and $C_9$ coefficients are calculated for various combinations of the group XII elements, and most of these coefficients were not reported earlier in the literature. Furthermore, the combinations for which the other theoretical and experimental values were available for comparison showed good agreement. We, therefore, believe that our results reported for $C_6$ and $C_9$ coefficients for various combinations of group XII elements are reliable.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑