AI 中文总结
该研究采用微观方法，通过Skyrme力和Hartree-Fock随机相位近似计算核极化修正，获得更严格的理论不确定性约束，为重离子束缚电子g因子高精度测量提供关键输入。
AI 中文摘要
从核视角采用微观方法研究类氢离子束缚电子g因子的领头阶核极化修正的库仑部分。为此，采用有效Skyrme力建模核子-核子相互作用，基于Hartree-Fock的随机相位近似得到集体核激发的能量和约化跃迁概率。这些核参数作为核极化修正的输入，通过修正光子传播子引入核极化插入的有效自能图计算。针对$^{40}\text{Ca}^{19+}$、$^{60}\text{Ni}^{27+}$、$^{90}\text{Zr}^{39+}$和$^{120}\text{Sn}^{49+}$研究了多种Skyrme参数化方案，将结果与涉及实验核数据及基于能量加权求和规则的估计的常用方法对比。最终获得了核极化修正理论不确定性的更严格约束，为重离子束缚电子g因子的高精度测量提供关键输入。
英文摘要
The Coulomb part of the leading-order nuclear-polarization correction to the bound-electron $g$ factor of hydrogenlike ions is investigated in a microscopic approach from the nuclear point of view. To this end, the effective Skyrme force is employed to model nucleon-nucleon interactions, with the energies and the reduced transition probabilities of collective nuclear excitations being obtained in the Hartree-Fock-based random-phase approximation. These nuclear parameters serve as input for the nuclear-polarization correction, evaluated via effective self-energy diagrams where the photon propagator is modified by a nuclear-polarization insertion. A diverse set of Skyrme parameterizations is probed for $^{40}\text{Ca}^{19+}$, $^{60}\text{Ni}^{27+}$, $^{90}\text{Zr}^{39+}$, and $^{120}\text{Sn}^{49+}$, and the results are compared to the common approach involving experimental nuclear data and estimates based on energy-weighted sum rules. As a result, tighter constraints on the theoretical uncertainties of the nuclear-polarization corrections are obtained, providing key input for high-precision measurements of the bound-electron $g$ factors of heavy hydrogenlike ions.
Comments8 pages, 3 figures, 3 tables
