从头计算超精细结构性质以提取⁶⁹Ga和⁷¹Ga的核磁八极矩
$Ab$ $initio$ calculation of hyperfine-structure properties to extract nuclear magnetic octupole moments of $^{69}$Ga and $^{71}$Ga
中文总结 AI 辅助
本研究采用RCCSD方法从头计算⁶⁹Ga和⁷¹Ga的超精细结构性质，重新分析相关测量数据并精确确定其核磁八极矩，所得结果为该领域提供了可靠参考。
中文摘要 AI 辅助
我们采用单双激发水平的相对论耦合簇方法（RCCSD）计算⁶⁹Ga和⁷¹Ga低激发态的超精细结构性质，这些性质包括一阶超精细常数以及由非对角超精细相互作用产生的二阶修正。基于我们的理论结果，我们重新分析了之前对⁶⁹,⁷¹Ga的4p₃/₂态的超精细分裂测量结果[R. T. Daly和J. H. Holloway，《物理评论》96，539（1954）]，并精确确定了这两种同位素的核磁八极矩。精确确定的值为Ω(⁶⁹Ga)=0.123(9) μ_N×b，Ω(⁷¹Ga)=0.165(15) μ_N×b，分别比Daly和Holloway之前报道的结果大13%和12%。本研究通过提供首次独立从头确定的结果，为⁶⁹,⁷¹Ga的核磁八极矩提供了可靠的参考值，将有益于未来的高精度测量和核结构计算。
英文摘要
We calculate the hyperfine-structure properties of the low-lying states in $^{69}$Ga and $^{71}$Ga using the relativistic coupled-cluster method at the singles and doubles (RCCSD) level. The properties include the first-order hyperfine constants and the second-order corrections arising from off-diagonal hyperfine interactions. Based on our theoretical results, we reanalyze the previous hyperfine-splitting measurements of the $4p_{3/2}$ state in $^{69,71}$Ga [R. T. Daly and J. H. Holloway, Phys. Rev. 96, 539 (1954)], and refine the nuclear magnetic octupole moments of these two isotopes. The refined values $Ω(^{69}\mathrm{Ga})=0.123(9)\,μ_N\times b $ and $Ω(^{71}\mathrm{Ga})=0.165(15)\,μ_N\times b $ are about 13\% and 12\% larger than the earlier results reported by Daly and Holloway. By providing the first independent \emph{ab initio} determination, the present results offer a reliable set of reference values for the magnetic octupole moments of $^{69,71}$Ga, which will benefit both future high-precision measurements and nuclear-structure calculations.
