Faculté des sciences

The size of the proton and the deuteron

Pohl, Randolf ; Amaro, Fernando D ; Antognini, Aldo ; Biraben, François ; Cardoso, João M R ; Covita, Daniel S ; Dax, Andreas ; Dhawan, Satish ; Fernandes, Luis M P ; Giesen, Adolf ; Graf, Thomas ; Hänsch, Theodor W ; Indelicato, Paul ; Julien, Lucile ; Kao, Cheng-Yang ; Knowles, Paul E. ; Bigot, Eric-Olivier Le ; Liu, Yi-Wei ; Lopes, José A M ; Ludhova, Livia ; Monteiro, Cristina M B ; Mulhauser, Françoise ; Nebel, Tobias ; Nez, François ; Rabinowitz, Paul ; Santos, Joaquim M F dos ; Schaller, Lukas A ; Schuhmann, Karsten ; Schwob, Catherine ; Taqqu, David ; Veloso, João F C A ; Kottmann, Franz

In: Journal of Physics: Conference Series, 2011, vol. 264, no. 1, p. 012008

We have recently measured the 2S1/2⁼¹ − 2P3/2 ⁼ ² energy splitting in the muonic hydrogen atom μp to be 49881.88 (76) GHz. Using recent QED calculations of the fine-, hyperfine, QED and finite size contributions we obtain a root-mean-square proton charge radius of rp = 0.84184 (67) fm. This value is ten times more precise, but... Plus

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    Summary
    We have recently measured the 2S1/2⁼¹ − 2P3/2 ⁼ ² energy splitting in the muonic hydrogen atom μp to be 49881.88 (76) GHz. Using recent QED calculations of the fine-, hyperfine, QED and finite size contributions we obtain a root-mean-square proton charge radius of rp = 0.84184 (67) fm. This value is ten times more precise, but 5 standard deviations smaller, than the 2006 CODATA value of rp = 0.8768 (69) fm. The source of this discrepancy is unknown. Using the precise measurements of the 1S-2S transition in regular hydrogen and deuterium and our value of rp we obtain improved values of the Rydberg constant, R = 10973731.568160 (16) m⁻¹and the rms charge radius of the deuteron rd = 2.12809 (31) fm.