Convergence of the calculated transition rates for two E2 transitions and one M3 transition in W⁴⁶⁺

<b>Table 2.</b> Convergence of the calculated transition rates for two E2 transitions and one M3 transition in W⁴⁶⁺. All transition rates are given in s⁻¹. Each E2 transition rate is given in both Babushkin and Coulomb gauges (<em>a</em>[<em>b</em>] = <em>a</em> <b>×</b> 10^<em>b</em>). <strong>Abstract</strong> Based on the multi-configuration Dirac–Hartree–Fock method and using the GRASPVU package, a theoretical investigation was performed to study the lifetimes of hyperfine levels of the first excited level 3d⁹4s ³D₃ in Ni-like ions (<em>Z</em> = 72–79) for all stable isotopes with nuclear spin. Comparisons between hyperfine-induced electric quadrupole transition rates and the pure magnetic octupole transition rates show that the extra electric quadrupole transition channel caused by the nuclear magnetic dipole and electric quadrupole hyperfine interaction is important for most hyperfine levels in each individual ion. Lifetimes of most hyperfine levels are sensitive to this extra decay channel. Extreme cases are found in ¹⁸¹Ta, ¹⁸⁵Re and ¹⁸⁷Re, where lifetimes of some hyperfine levels are shortened by more than an order of magnitude.

<b>表2.</b> 类钨离子W⁴⁶+中两种E2跃迁与一种M3跃迁的计算跃迁速率收敛性。所有跃迁速率单位均为s⁻¹。每种E2跃迁速率均同时采用巴布什金（Babushkin）规范与库仑（Coulomb）规范给出（格式为<em>a</em>[<em>b</em>] = <em>a</em> × 10^<em>b</em>）。<strong>摘要</strong> 本研究基于多组态狄拉克-哈特里-福克（multi-configuration Dirac–Hartree–Fock）方法，借助GRASPVU软件包，针对所有具有核自旋的稳定同位素，开展了原子序数<em>Z</em> = 72–79的类镍离子（Ni-like ions）第一激发态3d⁹4s ³D₃的超精细能级寿命的理论研究。通过对比超精细诱导电四极跃迁速率与纯磁八极跃迁速率，发现由核磁偶极与电四极超精细相互作用引发的额外电四极跃迁通道，对各离子中的绝大多数超精细能级均具有显著影响。绝大多数超精细能级的寿命对该额外衰变通道极为敏感。在¹⁸¹钽、¹⁸⁵铼与¹⁸⁷铼中存在极端案例：部分超精细能级的寿命被缩短了一个数量级以上。

搜集汇总

背景与挑战

背景概述

该数据集聚焦于W46+离子中两个E2跃迁和一个M3跃迁速率的收敛性计算研究，基于多组态Dirac-Hartree-Fock方法和GRASPVU软件包，分析了高Z镍类离子超精细能级的寿命，并揭示了超精细相互作用对跃迁通道的重要影响。数据集包含具体的跃迁速率表格，属于原子与分子物理领域。