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Ground-state hyperfine splittings in hydrogen and muonium are very well measured. Their difference, after correcting for magnetic moment and reduced mass effects, is due solely to proton structure--the large QED contributions for a…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky , C. E. Carlson , J. R. Hiller , D. S. Hwang

We determine the Zemach moments of hydrogen and deuterium for the first time using only the world data on elastic electron-proton and electron-deuteron scattering. Such moments are required for the calculation of the nuclear corrections to…

Nuclear Theory · Physics 2014-11-18 J. L. Friar , Ingo Sick

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

We present the derivation of the formulas for the proton structure-dependent terms in the hyperfine splitting of muonic hydrogen. We use compatible conventions throughout the calculations to derive a consistent set of formulas that…

Atomic Physics · Physics 2013-05-29 Carl E. Carlson , Vahagn Nazaryan , Keith Griffioen

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

While measurements of the hyperfine structure of hydrogen-like atoms are traditionally regarded as test of bound-state QED, we assume that theoretical QED predictions are accurate and discuss the information about the electromagnetic…

Quantum Physics · Physics 2009-11-10 Arnaud Dupays , Alberto Beswick , Bruno Lepetit , Carlo Rizzo , Dimitar Bakalov

We give a review of experimental and theoretical results on the precision study of hydrogen-like atoms with low value of the nuclear charge Z.

High Energy Physics - Phenomenology · Physics 2009-10-31 Savely G. Karshenboim

Nuclear-structure effects often provide an irreducible theory error that prevents using precision atomic measurements to test fundamental theory. We apply newly developed effective field theory tools to Hydrogen atoms, and use them to show…

High Energy Physics - Phenomenology · Physics 2021-02-03 C. P. Burgess , P. Hayman , Markus Rummel , László Zalavári

A possibility to constrain axion-like particles from precision atomic physics is considered.

Atomic Physics · Physics 2015-06-03 S. G. Karshenboim , V. V. Flambaum

Paper withdrawn because of unjustified approximation between equations 13 and 14.

High Energy Physics - Phenomenology · Physics 2007-05-23 R. W. Kadel

This paper suffers from conceptual difficulties and unjustified approximations that render its conclusions dubious.

Nuclear Theory · Physics 2008-11-26 B. Davids , A. Gruzinov , B. K. Jennings

The paper is being withdrawn because of some theoretical inconsistencies.

High Energy Physics - Phenomenology · Physics 2016-09-06 Uma Mahanta , Prasanta Das

The largest uncertainty in calculations of hydrogen ground-state hyperfine splitting comes from corrections due to proton stucture. We review these corrections, with special mention of the inelastic, or polarizability, corrections which…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carl E. Carlson

We present benchmark calculations of Zemach moments and radii of 2,3H and 3,4He using various few-body methods. Zemach moments are required to interpret muonic atom data measured by the CREMA collaboration at the Paul Scherrer Institute.…

Nuclear Theory · Physics 2019-03-27 N. Nevo Dinur , O. J. Hernandez , S. Bacca , N. Barnea , C. Ji , S. Pastore , M. Piarulli , R. B. Wiringa

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 status of several precisely measured electroweak parameters is reviewed. Natural relations among them are shown to constrain the Higgs mass, m_H, as well as various ``New Physics'' effects. Indications of an anomalous Zb anti-b coupling…

High Energy Physics - Phenomenology · Physics 2008-11-26 William J. Marciano

We present tables for the bound-state energies for atomic hydrogen. The tabulated energies include the hyperfine structure, and thus this work extends the work of Rev. Mod. Phys. {\bf 84}, 1527 (2012), which excludes hyperfine structure.…

Atomic Physics · Physics 2016-03-02 M. Horbatsch , E. A. Hessels

In arXiv:1108.3058v1 [nucl-ex], Arrington criticizes the Coulomb corrections we applied in the analysis of high precision form factor data (see Phys.Rev.Lett.105:242001, 2010, arXiv:1007.5076v3 [nucl-ex]). We show, by comparing different…

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

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
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