Measurement of the $2$S$_{1/2}-8$D$_{5/2}$ transition in hydrogen
We present a measurement of the hydrogen $2$S$_{1/2}-8$D$_{5/2}$ transition performed with a cryogenic atomic beam. The measured resonance frequency is $\nu=770649561570.9(2.0)$ kHz, which corresponds to a relative uncertainty of $2.6\times10^{-12}$. Combining our result with the most recent measure...
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Zusammenfassung: | We present a measurement of the hydrogen $2$S$_{1/2}-8$D$_{5/2}$ transition
performed with a cryogenic atomic beam. The measured resonance frequency is
$\nu=770649561570.9(2.0)$ kHz, which corresponds to a relative uncertainty of
$2.6\times10^{-12}$. Combining our result with the most recent measurement of
the $1$S$-2$S transition, we find a proton radius of $r_p=0.8584(51)$~fm and a
Rydberg constant of $R_\infty=10973731.568332(52)$ m$^{-1}$. This result has a
combined 3.1~$\sigma$ disagreement with the CODATA 2018 recommended value.
Possible implications of the discrepancy are discussed. |
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DOI: | 10.48550/arxiv.2111.08554 |