Bernauer<i>et al.</i>Reply:

Bernauer, J. C.; Achenbach, P.; Gayoso, C. Ayerbe; Böhm, R.; Bosnar, D.; Debenjak, L.; Distler, M. O.; Doria, L.; Esser, A.; Fonvieille, H.; Friedrich, Jan; Paz, M. Gómez Rodríguez de la; Makek, M.; Merkel, H.; Middleton, D. G.; Müller, U.; Nungesser, L.; Pochodzalla, J.; Potokar, M.; Majos, S. Sánchez; Schlimme, B. S.; Širca, S.; Walcher, Th.; Weinriefer, M.

doi:10.1103/physrevlett.107.119102

Cited by 42 publications

(79 citation statements)

References 5 publications

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“…The results on R M are not in a perfect shape as well (see, e.g., [11,28]). However, the discrepancy in determination of R M from MAMI [5] and global data [6] is not that important. The most important is that the determination of the charge radius R E from the scattering and muonic hydrogen is not in agreement, which compromises the whole procedure.…”

Section: A Preliminary Considerationmentioning

confidence: 96%

“…Different extractions from different kinds of data lead to inconsistent results. We have already mentioned a strong discrepancy between muonic-hydrogen R E [1] and the scattering values (see, e.g., [5][6][7][8]). The results on R M are not in a perfect shape as well (see, e.g., [11,28]).…”

Section: A Preliminary Considerationmentioning

confidence: 99%

“…The most important is that the determination of the charge radius R E from the scattering and muonic hydrogen is not in agreement, which compromises the whole procedure. Meanwhile, the magnetic radius is even more sensitive to various systematic effects [29][30][31].…”

Section: A Preliminary Considerationmentioning

confidence: 99%

“…Therefore, the experimental data and theoretical expression have been utilized to determine an accurate value of the proton radius. Actually, theory (see, e.g., [1][2][3]) disagrees with experiment and therefore the muonic-hydrogen value of the proton charge radius is inconsistent with results of hydrogen spectroscopy [4] and evaluations of the elastic electronproton scattering (see, e.g., [5][6][7][8]). …”

Section: Introductionmentioning

confidence: 99%

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Recoil correction to the proton finite-size contribution to the Lamb shift in muonic hydrogen

et al. 2015

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The Lamb shift in muonic hydrogen was measured some time ago to a high accuracy. The theoretical prediction of this value is very sensitive to the proton-finite-size effects. The proton radius extracted from muonic hydrogen is in contradiction with the results extracted from elastic electron-proton scattering. That creates a certain problem for the interpretation of the results from the muonic hydrogen Lamb shift. For the latter we need also to take into account the two-photonexchange contribution with the proton finite size involved. The only way to describe it relies on the data from the scattering, which may produce an internal inconsistency of theory.Recently the leading proton-finite-size contribution to the two-photon exchange was found within the external field approximation. The recoil part of the two-photon-exchange has not been considered. Here we revisit calculation of the external-field part and take the recoil correction to the finite-size effects into account.

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Section: A Preliminary Considerationmentioning

confidence: 96%

Section: A Preliminary Considerationmentioning

confidence: 99%

Section: A Preliminary Considerationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Recoil correction to the proton finite-size contribution to the Lamb shift in muonic hydrogen

et al. 2015

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“…However, bound-state QED tests were limited to a precision level of a few parts per million. This stems from the fact that a central constant employed in the theoretical QED-calculations, the root mean square (rms) proton charge radius r p , is independently only known to 1-2% accuracy [9,10]. To overcome this limitation in testing bound-state QED, our experiment intends to provide a 20 times more accurate independent value for r p by measuring the 2S-2P Lamb shift in muonic hydrogen (μp).…”

Section: Introductionmentioning

confidence: 99%

The size of the proton from the Lamb shift in muonic hydrogen

Pohl

2011

2011 Conference on Lasers and Electro-Optics Europe and 12th European Quantum Electronics Conference (CLEO EUROPE/EQEC)

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The root-mean-square (rms) charge radius r p of the proton has so far been known only with a surprisingly low precision of about 1% from both electron scattering and precision spectroscopy of hydrogen. We have recently determined r p by means of laser spectroscopy of the Lamb shift in the exotic "muonic hydrogen" Published in " " which should be cited to refer to this work.http://doc.rero.ch atom. Here, the muon, which is the 200 times heavier cousin of the electron, orbits the proton with a 200 times smaller Bohr radius. This enhances the sensitivity to the proton's finite size tremendously. Our new value r p = 0.84184 (67) fm is ten times more precise than the generally accepted CODATA-value, but it differs by 5 standard deviations from it. A lively discussion about possible solutions to the "proton size puzzle" has started. Our measurement, together with precise measurements of the 1S-2S transition in regular hydrogen and deuterium, also yields improved values of the Rydberg constant, R ∞ = 10,973,731.568160 (16) m −1 .

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Recent progress in determination of fundamental constants and fundamental physics at low energies

Karshenboim

2013

Annalen der Physik

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Bernaueret al.Reply:

Cited by 42 publications

References 5 publications

Recoil correction to the proton finite-size contribution to the Lamb shift in muonic hydrogen

Recoil correction to the proton finite-size contribution to the Lamb shift in muonic hydrogen

The size of the proton from the Lamb shift in muonic hydrogen

Recent progress in determination of fundamental constants and fundamental physics at low energies

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