论文标题
基本常数的HD $^+$中旋转旋转的旋转式转变频率
Extraction of spin-averaged rovibrational transition frequencies in HD$^+$ for the determination of fundamental constants
论文作者
论文摘要
我们对氢分子HD $^+$中旋转和反振动过渡的所有当前可用的高准确频率测量进行了全面分析。我们的分析利用理论上计算的超细结构通过全局线性最小二乘平方调节提取三个自旋平均过渡频率的值，该频率考虑了理论诱导的不同过渡之间的相关性。随后，我们将三个自旋平均过渡频率用作第二个调整中的输入数据，该数据采用了过渡频率的精确理论表达式，这是Proton，Deuteron和Electron相对原子质量的函数，Rydberg常数以及Proton和Deuteron Charge Radii。我们的分析表明，HD $^+$数据可能会显着提高电子相对原子质量和质子电子质量比的价值，特别是如果与最近的颗粒原子质量的高精度测量结果结合在一起，并从笔陷阱中获得的质量比。
We present a comprehensive analysis of all currently available high-accuracy frequency measurements of rotational and rovibrational transitions in the hydrogen molecular ion HD$^+$. Our analysis utilises the theoretically calculated hyperfine structure to extract the values of three spin-averaged transition frequencies through a global linear least-squares adjustment that takes into account theory-induced correlations between the different transitions. We subsequently use the three spin-averaged transition frequencies as input data in a second adjustment which employs precise theoretical expressions for the transition frequencies, written as a function of the proton, deuteron and electron relative atomic masses, the Rydberg constant, and the proton and deuteron charge radii. Our analysis shows that the HD$^+$ data may significantly improve the value of the electron relative atomic mass and the proton-electron mass ratio, in particular if combined with recent high-precision measurements of particle atomic masses and mass ratios obtained from Penning traps.
