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Related papers: The third Zemach moment and the size of the proton

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Modern electron scattering experiments have determined the proton electric form factor, G_{Ep}(Q^2), to high precision. We utilize this data, represented by the different form factor parametrizations, to compute the third Zemach moment of…

High Energy Physics - Phenomenology · Physics 2011-02-28 Ian C. Cloet , Gerald A. Miller

We determine the third Zemach moment of hydrogen (<r^3>_(2)) using only the world data on elastic electron-proton scattering. This moment dominates the O (Z alpha)^5 hadronic correction to the Lamb shift in muonic atoms. The resulting…

Nuclear Theory · Physics 2009-11-11 J. L. Friar , I. Sick

We quantify a limitation in the usual accounting of the finite-size effects, where the leading $[(Z\alpha)^4]$ and subleading $[(Z\alpha)^5]$ contributions to the Lamb shift are given by the mean-square radius and the third Zemach moment of…

High Energy Physics - Phenomenology · Physics 2015-04-29 Franziska Hagelstein , Vladimir Pascalutsa

Cloet and Miller, in arXiv:1008.4345, state that "existing data rule out a value of the third Zemach moment large enough to explain the current puzzle with the proton charge radius determined from the Lamb shift in muonic Hydrogen. This is…

High Energy Physics - Phenomenology · Physics 2010-08-27 A. De Rújula

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

Recent results on muonic hydrogen [1] and the ones compiled by CODATA on ordinary hydrogen and $ep$-scattering [2] are $5\sigma$ away from each other. Two reasons justify a further look at this subject: 1) One of the approximations used in…

High Energy Physics - Phenomenology · Physics 2015-03-17 A. De Rújula

We calculate the two-photon exchange corrections to electron-proton scattering with nucleon and $\Delta$ intermediate states. The results show a dependence on the elastic nucleon and nucleon-$\Delta$-transition form factors used as input…

High Energy Physics - Phenomenology · Physics 2015-01-29 I. T. Lorenz , Ulf-G. Meißner , H. -W. Hammer , Y. -B. Dong

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

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

A recent letter [1] investigated the effects of deuteron polarizability in the mu D atom. The importance of understanding this atom has been heightened because of the possible light it could shed on the proton radius puzzle. Here we…

Atomic Physics · Physics 2011-08-25 Gerald A. Miller

The uncertainty in the contribution to the Lamb shift in muonic hydrogen, $\Delta E^{subt}$ arising from proton polarizability effects in the two-photon exchange diagram at large virtual photon momenta is shown large enough to account for…

Nuclear Theory · Physics 2015-06-11 Gerald A. Miller

We use the world data on elastic electron scattering on 3He and 4He to determine the Zemach moments <r>_(2) and <r^3>_(2). These quantities are required to interpret the Lamb shift and HFS data of muonic Helium presently being measured at…

Nuclear Experiment · Physics 2015-06-23 Ingo Sick

The result of a recent measurement of the size of the proton [R. Pohl et al., Nature 466, 213] performed on the base of the muonic hydrogen spectroscopy turned out to be significantly different, by five standard deviations, from the results…

Quantum Physics · Physics 2011-03-22 Renat Kh. Gainutdinov

To comply with the critique of the Comment [J. Arrington, arXiv:1602.01461], we consider another modification of the proton electric form factor, which resolves the "proton-radius puzzle". The proposed modification satisfies all the…

High Energy Physics - Phenomenology · Physics 2016-03-09 Franziska Hagelstein , Vladimir Pascalutsa

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

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

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

In a recent paper, Hagelstein and Pascalutsa examine the error associated with an expansion of proton structure corrections to the Lamb shift in terms of moments of the charge distribution. They propose a small modification to a…

High Energy Physics - Phenomenology · Physics 2016-03-09 J. Arrington

Recent calculations of nuclear structure corrections to the Lamb shift in light muonic atoms are based on an expansion in a parameter eta, where only terms up to second order are retained. The parameter eta can be shown to be proportional…

Nuclear Theory · Physics 2019-12-25 Oscar Javier Hernandez , Chen Ji , Sonia Bacca , Nir Barnea

Pohl et al. have reported a very precise measurement of the Lamb-shift in muonic Hydrogen, from which they infer the radius characterizing the proton's charge distribution. The result is 5 standard deviations away from the one of the CODATA…

High Energy Physics - Phenomenology · Physics 2011-01-28 A. De Rújula
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