类铝离子钟跃迁能级的超精细结构常数和朗德g因子  

Hyperfine interaction constants and Landég factors of clock states of Al-like ions

作　　者：王霞 贾方石 姚科[2] 颜君[1] 李冀光 吴勇[1,3] 王建国 Wang Xia;Jia Fang-Shi;Yao Ke;Yan Jun;Li Ji-Guang;Wu Yong;Wang Jian-Guo(National Key Laboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,Beijing 100088,China;Key Laboratory of Nuclear Physics and Ion-beam Application,Fudan University,Shanghai 200433,China;Center for Applied Physics and Technology,College of Engineering,Peking University,Beijing 100871,China)

机构地区：[1]北京应用物理与计算数学研究所,计算物理重点实验室,北京100088 [2]复旦大学,核物理与离子束应用教育部重点实验室,上海200433 [3]北京大学工学院,应用物理与技术研究中心,北京100871

出　　处：《物理学报》2023年第22期127-135,共9页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11874090)资助的课题。

摘　　要：本文利用多组态Dirac-Hartree-Fock方法计算了类铝等电子序列从Si^(+)到Kr^(23+)离子基组态3s^(2)3p^(2)P_(1/2,3/2)能级的超精细结构常数和朗德g因子.通过系统评估电子关联效应对Si^(+)和Co^(14+)离子中所关心原子参数的影响,尤其是与内壳层电子相关的关联效应,构建了可靠精确的计算模型,除Si^(+)离子外,超精细结构常数和g因子的计算误差分别控制在1%左右和10^(-5)的量级.此外,进一步分析了超精细结构常数中电子部分矩阵元和g因子随原子序数Z的变化规律,并拟合了这些物理量与Z的定量依赖关系,利用拟合公式可以快速计算类铝离子在14≤Z≤54区间内任意同位素的超精细结构常数和g因子.The highly charged Al-like ions are the potential candidates for the next-generation atomic optical clocks,and their atomic parameters are also useful in plasma and nuclear physics.In the present work,the hyperfine interaction constants and Landég factors of 3s^(2)3p ^(2)P_(1/2,3/2) states in the ground configuration for Al-like ions in a range between Si^(+)and Kr^(23+) ions are calculated by using the multi-configuration Dirac-Hartree-Fock method.Owing to the fact that hyperfine interaction constant is sensitive to electron correlation effects,we systematically investigate its influence on the hyperfine interaction constants,particularly for the high-order correlation related to the 2p electrons.According to this investigation and by taking into account the Breit interaction and QED corrections,we achieve the computational accuracy at a level of 1%and 10^(-5) for the hyperfine interaction constants and Landég factors,respectively,except for the Si^(+)ion.Furthermore,the electronic parts of hyperfine interaction constants and g factors are fitted with functions of atomic number.The deviations between these fitted formulas and the ab initio calculations are less than 2%and 10^(-5) for the hyperfine interaction constants and the g factors,respectively.As a result,the hyperfine interaction constants and g factors of all isotopes can be determined for Al-like ions with 14≤Z≤54.

关 键 词：超精细结构常数 朗德G因子 多组态Dirac-Hartree-Fock方法 电子关联效应 类铝离子 

分 类 号：TH714[机械工程—测试计量技术及仪器]