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The current status of the determination of corrections to the hyperfine splitting of the ground state in hydrogen is considered. Improved calculations are provided taking into account the most recent value for the proton charge radius.…

Atomic Physics · Physics 2009-11-10 A. V. Volotka , V. M. Shabaev , G. Plunien , G. Soff

We investigate the influence of the spatial extent of the proton magnetization and charge densities on the 2S hyperfine splitting in muonic hydrogen. The use of a non-perturbative relativistic Dirac approach leads to corrections of 15% to…

Atomic Physics · Physics 2011-08-31 J. D. Carroll , A. W. Thomas , G. A. Miller , J. Rafelski

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

Spin-dependent quark densities, matrix elements of specific density operators in proton states of definite spin-polarization, indicate that the nucleon may harbor an infinite variety of non-spherical shapes. We show that these matrix…

Nuclear Theory · Physics 2008-11-26 Gerald A. Miller

The contribution of the proton polarizability to the ground state hyperfine splitting in the hydrogen atom is evaluated on the basis of isobar model and evolution equations for the parton distributions. The contributions of the Born terms,…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. N. Faustov , I. V. Gorbacheva , A. P. Martynenko

We present a systematic study of the proton spin structure in terms of measurable parton distributions. For a transversely-polarizedproton, we derive a polarization sum rule from the leading generalized parton distributions appearing in…

High Energy Physics - Phenomenology · Physics 2012-10-18 Xiangdong Ji , Xiaonu Xiong , Feng Yuan

The contribution of the proton polarizability to the hydrogen hyperfine splitting is evaluated on the basis of modern experimental and theoretical results on the proton polarized structure functions. The value of this correction is equal to…

High Energy Physics - Phenomenology · Physics 2016-09-06 R. N. Faustov , A. P. Martynenko

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 calculate the contribution from the two-photon exchange on the neutron to the hyperfine splitting of S energy levels. We update the value of the neutron Zemach radius, estimate total recoil and polarizability corrections. The resulting…

Nuclear Theory · Physics 2019-04-03 Oleksandr Tomalak

We discuss the recent interpretation of quark-distribution functions in the plane transverse to the light-cone direction. Such a mapping is model independent and allows one to build up multidimensional pictures of the hadron and to develop…

High Energy Physics - Phenomenology · Physics 2015-05-20 Cédric Lorcé , Barbara Pasquini , Marc Vanderhaeghen

I review recent results regarding the nucleon charge and magnetization densities as well as the shape of the nucleon. First, some phenomenolgical considerations that show that the shape of the proton is not round are discussed. Then model…

Nuclear Theory · Physics 2009-02-19 Gerald A Miller

The nature of the proton wave function can be elucidated by studying the matrix elements of spin-dependent quark density operators SDDs, defined as matrix elements of density operators in proton states of definite spin-polarization. These…

Nuclear Theory · Physics 2011-08-31 Gerald A. Miller

Radiative corrections to the Zemach contribution of the hydrogen hyperfine splitting are calculated. Their contributions amount to $-0.63(3)$ ppm to the HFS. The radiative recoil corrections are estimated to be $0.09(3)$ ppm and heavy…

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

Proton charge radius is calculated from the electromagnetic form factor of proton parameterized by the dispersion relation. The calculated charge radius is a little larger than that obtained by the Lamb shift of the $\mu$ mesic atom. As the…

High Energy Physics - Phenomenology · Physics 2011-07-11 Hirohisa Ishikawa , Keiji Watanabe

The nuclear polarizability effects in hyperfine splitting of light atomic systems are not well known. The only system for which they were previously calculated is the hydrogen atom, where these effects were shown to contribute about 5\% of…

Atomic Physics · Physics 2024-01-12 Vojtěch Patkóš , Vladimir A. Yerokhin , Krzysztof Pachucki

I summarize the dispersion-theoretical analysis of the nucleon electromagnetic form factors. Special emphasis is given on the extraction of the proton charge radius and its relatives, the proton magnetic radius as well as the neutron…

High Energy Physics - Phenomenology · Physics 2022-11-11 Ulf-G. Meißner

The recent values of the proton charge radius obtained by means of muonic-hydrogen laser spectroscopy are about $4\%$ different from the electron scattering data. It has been suggested that the proton radius is actually measured in…

High Energy Physics - Phenomenology · Physics 2013-11-05 M. M. Giannini , E. Santopinto

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

The ongoing experimental efforts to measure the hyperfine transition in muonic hydrogen prompt an accurate evaluation of the proton-structure effects. At the leading order in $\alpha$, which is $O(\alpha^5)$ in the hyperfine splitting…

Nuclear Theory · Physics 2024-02-01 Franziska Hagelstein , Vadim Lensky , Vladimir Pascalutsa

The contribution of the proton polarizability to the ground state hyperfine splitting in muonic hydrogen is evaluated on the basis of modern experimental and theoretical results on the proton polarized structure functions. The value of this…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. V. Cherednikova , R. N. Faustov , A. P. Martynenko
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