Absorption oscillator strengths for some low-lying transitions of Ga<sup>2 +</sup>
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<b>Table 2.</b> Absorption oscillator strengths for some low-lying transitions of Ga<sup>2 +</sup>. The acronyms MP and RCC are defined in the text while RMBPT refers to relativistic many body perturbation theory and MCHF refers to (non-relativistic) multi-configuration Hartree–Fock. <strong>Abstract</strong> The blackbody radiation shift of the Ga<sup>+</sup>4{\rm s}^2 \ ^1{\rm S}^{\rm e}_0 \rightarrow 4{\rm s}4{\rm p} \ ^3{\rm P}^{\rm o}_0 clock transition is computed to be −0.0140 ± 0.0062 Hz at 300 K. The small shift is consistent with the blackbody radiation shifts of the clock transitions of other group III ions which are of a similar size. The polarizabilities of the Ga<sup>+</sup>4{\rm s}^2 \ ^1{\rm S}^{\rm e}_0, 4{\rm s}4{\rm p} \ ^3{\rm P}^{\rm o}_0, and 4{\rm s}4{\rm p} \ ^1{\rm P}^{\rm o}_1 states were computed using the configuration interaction method with an underlying semi-empirical core potential. Quadrupole and non-adiabatic dipole polarizabilities were also computed. A byproduct of the analysis involved calculations of the low-lying spectrum and oscillator strengths, including polarizabilities, of the Ga<sup>2 +</sup> ion.
**表 2.** Ga²+若干低能跃迁的吸收振子强度。缩写MP与RCC的定义见正文,其中RMBPT指代相对论多体微扰理论(relativistic many body perturbation theory),MCHF指代(非相对论)多组态哈特里-福克(multi-configuration Hartree–Fock)。 **摘要** 本研究计算了Ga+的4s² ¹S₀^e → 4s4p ³P₀^o钟跃迁在300 K下的黑体辐射漂移,结果为−0.0140 ± 0.0062 Hz。该漂移量较小,与其他第Ⅲ族离子钟跃迁的黑体辐射漂移量级相近,二者具有良好的一致性。采用基于半经验核势的组态相互作用方法,计算了Ga+的4s² ¹S₀^e、4s4p ³P₀^o以及4s4p ¹P₁^o态的极化率,同时还计算了四极极化率与非绝热偶极极化率。本分析的一项附带成果为:对Ga²+离子的低能能谱、振子强度(含极化率)进行了计算。




