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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,…

高能物理 - 唯象学 · 物理学 2015-06-25 R. N. Faustov , I. V. Gorbacheva , A. P. Martynenko

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…

高能物理 - 唯象学 · 物理学 2016-09-06 R. N. Faustov , A. P. Martynenko

We present a precise determination of the polarizability and other proton structure dependent contributions to the hydrogen hyperfine splitting, based heavily on the most recent published data on proton spin dependent structure functions…

原子物理 · 物理学 2009-11-13 Carl E. Carlson , Vahagn Nazaryan , Keith Griffioen

The contribution of \Delta isobar to the correction on proton polarizability in the hyperfine splitting of hydrogen and muonic hydrogen is calculated with the account of the experimental data on N-\Delta transition form factors.

高能物理 - 唯象学 · 物理学 2008-11-26 R. N. Faustov , A. P. Martynenko , V. A. Saleev

The contribution of hadronic vacuum polarization to the hyperfine splitting of the muonic hydrogen ground state is calculated with the account of experimental data on the cross section of e^+e^-\to annihilation into hadrons and the dipole…

高能物理 - 唯象学 · 物理学 2008-02-03 R. N. Faustov , A. P. Martynenko

Corrections of orders alpha^5, alpha^6 are calculated in the hyperfine splitting of the muonic hydrogen ground state. The nuclear structure effects are taken into account in the one- and two-loop Feynman amplitudes by means of the proton…

高能物理 - 唯象学 · 物理学 2015-06-25 R. N. Faustov , A. P. Martynenko

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…

核理论 · 物理学 2024-02-01 Franziska Hagelstein , Vadim Lensky , Vladimir Pascalutsa

We present the leading-order prediction of baryon chiral perturbation theory for the proton polarizability contribution to the 2S hyperfine splitting in muonic hydrogen, and compare with the results of dispersive calculations.

核理论 · 物理学 2015-11-16 Franziska Hagelstein , Vladimir Pascalutsa

We consider the proton structure corrections to hydrogen ground-state hyperfine structure, focusing on a state-of-the-art evaluation of the inelastic nucleon corrections--the polarizability corrections--using analytic fits to the most…

原子物理 · 物理学 2009-11-13 Carl E. Carlson

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…

高能物理 - 唯象学 · 物理学 2007-05-23 Carl E. Carlson

The proton structure and proton polarizability corrections to the Lamb shift of electronic hydrogen and muonic hydrogen were evaluated on the basis of modern experimental data on deep inelastic structure functions. Numerical value of proton…

高能物理 - 唯象学 · 物理学 2009-10-31 R. N. Faustov , A. P. Martynenko

We provide an accurate evaluation of the two-photon exchange correction to the hyperfine splitting of S energy levels in muonic hydrogen exploiting the corresponding measurements in electronic hydrogen. The proton structure uncertainty in…

高能物理 - 唯象学 · 物理学 2018-02-14 Oleksandr Tomalak

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…

原子物理 · 物理学 2013-05-29 Carl E. Carlson , Vahagn Nazaryan , Keith Griffioen

The contribution of hadronic vacuum polarization (HVP) to the hyperfine splitting of the muonium ground state is evaluated with the account of modern experimental data on the cross section of $e^+e^- \to$ annihilation into hadrons.

高能物理 - 唯象学 · 物理学 2011-04-15 R. N. Faustov , A. Karimkhodzhaev , A. P. Martynenko

There is renewed interest in studies of muonic atoms, which may provide detailed information on nuclear structure. A major limiting factor in the interpretation of measurements is the nuclear polarization contribution. We propose a method…

原子物理 · 物理学 2025-06-25 J. Vandeleur , G. Sanamyan , O. R. Smits , I. A. Valuev , N. S. Oreshkina , J. S. M. Ginges

We present a state-of-the-art evaluation of the polarizability corrections--the inelastic nucleon corrections--to the hydrogen ground-state hyperfine splitting using analytic fits to the most recent data. We find a value $\Delta_{\rm pol} =…

高能物理 - 唯象学 · 物理学 2008-11-26 Vahagn Nazaryan , Carl E. Carlson , Keith A. Griffioen

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…

量子物理 · 物理学 2009-11-10 Arnaud Dupays , Alberto Beswick , Bruno Lepetit , Carlo Rizzo , Dimitar Bakalov

This work attempts to present a complete theory of the $\mu$H hyperfine splitting, including all contributions above 1 ppm. Quantum electrodynamic and recoil corrections are calculated directly, while the proton structure correction is…

原子物理 · 物理学 2026-04-09 Andrzej Maroń , Mateusz Pańtak , Krzysztof Pachucki

We reevaluate the Zemach, recoil and polarizability corrections to the hyperfine splitting in muonic hydrogen expressing them through the low-energy proton structure constants and obtain the precise values of the Zemach radius and…

高能物理 - 唯象学 · 物理学 2018-01-17 O. Tomalak

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…

高能物理 - 唯象学 · 物理学 2014-11-17 Savely G. Karshenboim
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