Measurement of the $2$S${}_{1/2}-8$D${}_{5/2}$ transition in hydrogen

Abstract

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 $2.6\times 10^{-12}$. 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.

References in corpus (2)

• The Proton Radius Puzzle
• Pressure Shifts in High-Precision Hydrogen Spectroscopy: II. Impact Approximation and Monte-Carlo Simulations

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