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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

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

Numerous few-electron atomic systems are considered which can be used effectively for observing a potential variation of the fine-structure constant $\alpha$ and the electron-proton mass ratio $m_e/m_p$. We examine optical magnetic dipole…

We consider the most accurate tests of bound state QED theory of the hyperfine splitting in two-body atoms related to the HFS interval of the 1s state in muonium and positronium and the 2s state in hydrogen, deuterium and the helium-3 ion.…

Atomic Physics · Physics 2007-05-23 S. Karshenboim , S. Eidelman , P. Fendel , V. G. Ivanov , N. Kolachevsky , V. Shelyuto , T. W. Haensch

Precision spectroscopy of light muonic atoms provides unique information about the atomic and nuclear structure of these systems and thus represents a way to access fundamental interactions, properties and constants. One application…

Weak interaction contributions to hyperfine splitting and Lamb shift in light electronic and muonic atoms are calculated. We notice that correction to hyperfine splitting turns into zero for deuterium. Weak correction to the Lamb shift in…

Atomic Physics · Physics 2012-07-05 Michael I. Eides

We study the nuclear ($A$) dependence of the European Muon Collaboration (EMC) effect at high values of $x$ ($x \geq 0.6$). Our approach makes use of conventional nuclear degrees of freedom within the Relativistic Impulse Approximation. By…

High Energy Physics - Phenomenology · Physics 2014-11-17 Simonetta Liuti , Franz Gross

We present a complete set of formulas for longitudinal momentum distribution functions (splitting functions) of mesons in the nucleon. It can be applied in the framework of convolution formalism to the deep-inelastic structure functions…

High Energy Physics - Phenomenology · Physics 2014-11-17 H. Holtmann , A. Szczurek , J. Speth

We consider hyperfine splitting of 1s and, in part, of 2s levels in light hydrogen-like atoms: hydrogen, deuterium, tritium, helium-3 ion, muonium and positronium. We discuss present status of precision theory and experiment for the hfs…

High Energy Physics - Phenomenology · Physics 2014-11-17 Savely G. Karshenboim , Vladimir G. Ivanov

The spin fractions and deep inelastic structure functions of the proton are analyzed using chiral field theory involving Goldstone bosons. A detailed comparison with recent chiral models sheds light on their successful description of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. J. Weber

Systematic differences exist between values of the proton's electric form factors in the low-$Q^2$ region extracted by different experimental and theoretical groups, though they are all making use of basically the same electron-proton…

High Energy Physics - Phenomenology · Physics 2023-01-04 Jingyi Zhou , Vladimir Khachatryan , Haiyan Gao , Simon Gorbaty , Douglas W. Higinbotham

A discrepancy in the determination of the proton's charge radius, $r_p$, between muonic hydrogen spectroscopy versus classic atomic spectroscopy and electron scattering data has become known as the proton radius puzzle. Extractions of $r_p$…

Nuclear Experiment · Physics 2023-12-06 Tyler J. Hague , Douglas W. Higinbotham , Spencer Portuese

The ground state hyperfine splitting values of high Z hydrogenlike ions are calculated. The relativistic, nuclear and QED corrections are taken into account. The nuclear magnetization distribution correction (the Bohr-Weisskopf effect) is…

Atomic Physics · Physics 2009-10-30 V. M. Shabaev , M. Tomaselli , T. Kühl , A. N. Artemyev , V. A. Yerokhin

QED theory of the hyperfine splitting of the $1s$ and $2s$ state in hydrogen isotopes and helium-3 ion is considered. We develop an accurate theory of a specific difference 8E_{HFS}(2s)-E_{HFS}(1s). We take into account fourth order…

High Energy Physics - Phenomenology · Physics 2009-11-07 Savely G. Karshenboim , Vladimir G. Ivanov

Baym and Farrar (arXiv:2601.02300v1) have recently pointed out a puzzle in understanding the role of the hyperfine interaction in the ground state of a hydrogen atom. If one uses a variational wave function in which the Bohr radius, $a_0$…

Atomic Physics · Physics 2026-02-09 Gerald A. Miller

A formula for an improved spin--dependent potential between a heavy quark and a heavy antiquark was developed using Heavy Quark Effective Theory techniques. The leading logarithmic quark mass terms emerging from loop contributions were…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert J. Oakes

We compute the electromagnetic form factors of the proton and neutron using lattice QCD. We employ $N_\mathrm{f}$=2+1+1 twisted mass clover-improved fermions with quark masses tuned to their physical values. Three ensembles with lattice…

High Energy Physics - Lattice · Physics 2025-07-29 Constantia Alexandrou , Simone Bacchio , Giannis Koutsou , Bhavna Prasad , Gregoris Spanoudes

We present a combined analysis of the electromagnetic form factors of the nucleon in the space- and timelike regions using dispersion theory. Our framework provides a consistent description of the experimental data over the full range of…

High Energy Physics - Phenomenology · Physics 2022-02-16 Yong-Hui Lin , Hans-Werner Hammer , Ulf-G. Meißner

The largest hyperfine interaction coefficients in the hydrogen molecular ion HD$^+$, i.e. the electron-proton and electron-deuteron spin-spin scalar interactions, are calculated with estimated uncertainties slightly below 1~ppm. The…

The proton charge and magnetization density distributions can be related to the well known Sachs electromagnetic form factors $G_{E,M}({\bm q}^{2})$ through Fourier transforms, only in the Breit frame. The Breit frame however moves with…

High Energy Physics - Phenomenology · Physics 2015-08-10 D. Bedoya Fierro , N. G. Kelkar , M. Nowakowski
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