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arXiv 0707.3587physics.atom-phphysics.chem-ph
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^{199}Hg^{+}电四极矩和磁偶极子超精细常数的相对论幺正耦合团簇研究

A relativistic unitary coupled-cluster study of electric quadrupole moment and magnetic dipole hyperfine constants of ^{199}Hg^{+}

Chiranjib Sur, Rajat K Chaudhuri

备注：
Revtex, 2 EPS figures, To be published in Phys. Rev. A
发表信息：
Phys. Rev. A 76, 032503 (2007)
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摘要：

从科学和技术的几个领域来看，寻找一种可以用作比现在的原子钟更好的时间标准的精确的光学钟是非常困难的。已经进行了几次尝试来构建具有不同离子种类的更精确的时钟。在本文中，我们讨论了$ ^{199}Hg^{+}$中的$5d^{9}6s^{2} ^{2}D_{5/2}(F=0,m_{F}=0)\leftrightarrow5d^{10}6s ^{2}S_{1/2}(F=2,m_{F}=0)$时钟跃迁中的电四极和超精细位移，$ ^{199}Hg^{+}$是下一代光学时钟最有希望的候选者之一。我们应用Fock空间幺正耦合团簇（FSUCC）理论研究了$5d^{9}6s^{2} ^{2}D_{5/2}$态的电四极矩和$ ^{199}Hg^{+}$的$5d^{9}6s^{2} ^{2}D_{3/2,5/2}$和$5d^{10}6s^{1} ^{2}S_{1/2}$态的磁偶极子超精细常数.我们还将我们的结果与现有数据进行了比较。据我们所知，这是第一次一个变种的耦合团簇（CC）理论已被应用于研究这些性质的$Hg^{+}$，是最准确的估计，这些数量的日期。

英文摘要：

Searching for an accurate optical clock which can serve as a better time standard than the present day atomic clock is highly demanding from several areas of science and technology. Several attempts have been made to built more accurate clocks with different ion species. In this article we discuss the electric quadrupole and hyperfine shifts in the $5d^{9}6s^{2} ^{2}D_{5/2}(F=0,m_{F}=0)\leftrightarrow5d^{10}6s ^{2}S_{1/2}(F=2,m_{F}=0)$ clock transition in $ ^{199}Hg^{+}$, one of the most promising candidates for next generation optical clocks. We have applied Fock-space unitary coupled-cluster (FSUCC) theory to study the electric quadrupole moment of the $5d^{9}6s^{2} ^{2}D_{5/2}$ state and magnetic dipole hyperfine constants of $5d^{9}6s^{2} ^{2}D_{3/2,5/2}$ and $5d^{10}6s^{1} ^{2}S_{1/2}$ states respectively of $ ^{199}Hg^{+}$. We have also compared our results with available data. To the best of our knowledge, this is the first time a variant of coupled-cluster (CC) theories has been applied to study these kinds of properties of $Hg^{+}$and is the most accurate estimate of these quantities to date.

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