论文标题
氢1S-2S过渡频率：实验和理论的比较
Hydrogen 1s-2s transition frequency: Comparison of experiment and theory
论文作者
论文摘要
使用DIRAC方程，辐射校正和有限的核大小和质量校正，我们计算$ 1S $ -2S $ 2S $量子过渡频率$ f_ {1s，2s，2s，2s} $及其由于不确定性而引起的不确定性$Δm_e，δm_p，Δr_p，δr_p，Δr_p，eft y $ unftty $ nefty unfty，质量$ m_p $，精细结构常数$α$，质子均方根电荷半径$ r_p $和rydberg常数$ r _ {\ infty} $。我们使用2018年尾巴[E. Tiesinga，P。J. Mohr，D。B. Newell，B。N. Taylor，Rev。Mod。物理。 {\ bf 93}，025010（2021）]计算$ f_ {1s，2s} $的过程以及其中给出的基本常数。我们发现实验频率的值在于理论不确定性之外（理论和实验频率之间的差异为$ΔF_{1S，2S}^{（2018）} = -23.948 $ 〜KHz）。但是，通过拟合$ r_p $，我们在计算和实验频率和6.4 kHz理论上的不确定性之间获得了消失的差异，$ r_p = 0.830734 $ 〜fm（以及理论上的不确定性$ΔR_P= 0.0022 $ fm），与最近的测量相一致。 xiong，{\ it {et al}}。，自然（伦敦）{\ bf 575}，147（2019）]。
Using the Dirac equation, radiative corrections and finite nuclear size and mass corrections, we calculate the $1s$-$2s$ quantum transition frequency $f_{1s,2s}$ of hydrogen and its uncertainty due to the uncertainties $δm_e, δm_p, δα, δr_p, δR_{\infty}$ of the electron mass $m_e$, proton mass $m_p$, fine structure constant $α$, proton root mean squared charge radius $r_p$, and the Rydberg constant $R_{\infty}$. We use the 2018 CODATA [E. Tiesinga, P. J. Mohr, D. B. Newell, B. N. Taylor, Rev. Mod. Phys. {\bf 93}, 025010 (2021)] procedure for the calculation of $f_{1s,2s}$, and the fundamental constants given therein. We find that the value of the experimental frequency lies outside the theoretical uncertainty (the discrepancy between the theoretical and the experimental frequency is $Δf_{1s,2s}^{(2018)} = -23.948$~kHz). But, by fitting $r_p$ we obtain a vanishing discrepancy between the calculated and experimental frequencies and a 6.4 kHz theoretical uncertainty, with $r_p = 0.830734$~fm (and a theoretical uncertainty of $δr_p = 0.0022$ fm), consistent with a recent measurement~[W. Xiong, {\it{et al}}., Nature (London) {\bf 575}, 147 (2019)].
