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We obtain a model independent expression for the muonic hydrogen Lamb shift up to $\mathcal O (m_\mu \alpha^6, m_\mu \alpha^5 \frac{m_\mu^2}{m_\rho^2})$. The hadronic effects are controlled by the chiral theory, which allows for their model…

High Energy Physics - Phenomenology · Physics 2014-11-17 Clara Peset

Recently a high-precision measurement of the Lamb shift in muonic hydrogen has been performed. An accurate value of the proton charge radius can be extracted from this datum with a high accuracy. To do that a sufficient accuracy should be…

High Energy Physics - Phenomenology · Physics 2014-11-04 Savely G. Karshenboim

Recently the muonic hydrogen lamb shift has been measured with unprecedented accuracy, allowing for a precise determination of the proton radius. This determination is 5 sigma away from the previous CODATA value obtained from (mainly) the…

High Energy Physics - Phenomenology · Physics 2011-08-08 Antonio Pineda

We comprehensively analyse the theoretical prediction for the Lamb shift in muonic hydrogen, and the associated determination of the proton radius. We use effective field theories. This allows us to relate the proton radius with…

High Energy Physics - Phenomenology · Physics 2016-01-20 Clara Peset , Antonio Pineda

A measurement of the Lamb shift of 49,881.88(76) GHz in muonic hydrogen in conjunction with theoretical estimates of the proton structure effects was recently used to deduce an accurate but rather small radius of the proton. Such an…

High Energy Physics - Phenomenology · Physics 2015-06-04 N. G. Kelkar , F. Garcia Daza , M. Nowakowski

The "proton radius puzzle" is the 7-standard-deviations difference of the charge radius of the proton as determined from the Lamb shift in electronic hydrogen and elastic electron scattering off the proton on the one side and the high…

Atomic Physics · Physics 2023-04-17 Thomas Walcher

The proton polarizability effect in the muonic-hydrogen Lamb shift comes out as a prediction of baryon chiral perturbation theory at leading order and our calculation yields for it: $\Delta E^{(\mathrm{pol})} (2P-2S) = 8^{+3}_{-1}\, \mu$eV.…

High Energy Physics - Phenomenology · Physics 2015-06-18 Jose Manuel Alarcón , Vadim Lensky , Vladimir Pascalutsa

An explanation of the difference of the charge radius of the proton as determined from the Lamb shift in electronic hydrogen and from elastic electron scattering off the proton on the one side and the recent high precision determination…

Atomic Physics · Physics 2012-10-25 Thomas Walcher

In view of the recently observed discrepancy of theory and experiment for muonic hydrogen [R. Pohl et al., Nature vol. 466, p. 213 (2010)], we reexamine the theory on which the quantum electrodynamic (QED) predictions are based. In…

High Energy Physics - Phenomenology · Physics 2012-07-03 U. D. Jentschura

The standard definition of the electromagnetic radius of a charged particle (in particular the proton) is ambiguous once electromagnetic corrections are considered. We argue that a natural definition can be given within an effective field…

High Energy Physics - Phenomenology · Physics 2009-11-10 Antonio Pineda

The measurement of the 2P^{F=2}_{3/2} to 2S^{F=1}_{1/2} transition in muonic hydrogen by Pohl et al. and subsequent analysis has led to the conclusion that the rms radius of the proton differs from the accepted (CODATA) value by…

Atomic Physics · Physics 2011-08-15 J. D. Carroll , A. W. Thomas , J. Rafelski , G. A. Miller

The sixth-order electron-loop vacuum-polarization contribution to the $2P_{1/2} - 2S_{1/2}$ Lamb shift of the muonic hydrogen ($\mu^{-} p^+$ bound state) has been evaluated numerically. Our result is 0.007608(1) meV. This eliminates the…

High Energy Physics - Phenomenology · Physics 2009-09-02 T. Kinoshita , M. Nio

To date the magnetic radius of the proton has been determined only by means of electron-proton scattering, which is not free of controversies. Any existing atomic determinations are irrelevant because they are strongly model-dependent. We…

High Energy Physics - Phenomenology · Physics 2014-11-04 Savely G. Karshenboim

We argue that the proton's charge-radius contributes differently to shifts of Hydrogen-like energy levels than naively expected due to an incorrect choice for the boundary condition at the proton's position in standard calculations. In…

High Energy Physics - Phenomenology · Physics 2017-09-01 C. P. Burgess , Peter Hayman , Markus Rummel , Laszlo Zalavari

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…

High Energy Physics - Phenomenology · Physics 2015-04-16 Savely G. Karshenboim , Evgeny Yu. Korzinin , Vladimir G. Ivanov , Valery A. Shelyuto

High precision spectroscopy of muonic hydrogen has recently led to an anomaly in the Lamb shift, which has been parametrized in terms of a proton charge radius differing by seven standard deviations from the CODATA value. We show how this…

General Relativity and Quantum Cosmology · Physics 2015-09-02 Roberto Onofrio

We calculate the amplitude T_1 for forward doubly-virtual Compton scattering in heavy-baryon chiral perturbation theory, to fourth order in the chiral expansion and with the leading contribution of the gammaNDelta form factor. This provides…

High Energy Physics - Phenomenology · Physics 2012-12-12 Michael C. Birse , Judith A. McGovern

On the basis of recent precise measurements of the electric form factor of the proton, the Zemach moments, needed as input parameters for the determination of the proton rms radius from the measurement of the Lamb shift in muonic hydrogen,…

Nuclear Theory · Physics 2011-02-03 Michael O. Distler , Jan C. Bernauer , Thomas Walcher

The measurement of the Lamb shift in muonic hydrogen and the subsequent emergence of the proton-radius puzzle have motivated an experimental campaign devoted to measuring the Lamb shift in other light muonic atoms, such as muonic deuterium…

Nuclear Theory · Physics 2018-08-29 Chen Ji , Sonia Bacca , Nir Barnea , Oscar Javier Hernandez , Nir Nevo-Dinur

The deuteron charge radius is calculated from the measurement of the Lamb shift in muonic deuterium, taking into account the electron vacuum polarization correction to the nuclear-structure effects. This correction is unexpectedly large and…

Atomic Physics · Physics 2019-03-27 Marcin Kalinowski
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