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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

Two groups, ours (Mainz) and Bochum, have recently been re-evaluating the spin polarizabilities and spin structure functions at low $Q$, using the baryon chiral perturbation theory (B$\chi$PT), the manifestly-covariant counterpart of the…

High Energy Physics - Phenomenology · Physics 2022-09-22 Vladimir Pascalutsa , Franziska Hagelstein , Vadim Lensky

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…

Atomic Physics · Physics 2009-11-13 Carl E. Carlson , Vahagn Nazaryan , Keith Griffioen

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…

Atomic Physics · Physics 2009-11-13 Carl E. Carlson

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.

Nuclear Theory · Physics 2015-11-16 Franziska Hagelstein , Vladimir Pascalutsa

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} =…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vahagn Nazaryan , Carl E. Carlson , Keith A. Griffioen

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

The complete analytical $O(m_l^3\alpha^5/m_p^2\times (\log{m_\pi}, \log{\Delta}, \log{m_l}))$ contribution to the Hyperfine splitting is given. It can explain about 2/3 of the difference between experiment and the pure QED prediction when…

High Energy Physics - Phenomenology · Physics 2007-05-23 Antonio Pineda

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.

High Energy Physics - Phenomenology · Physics 2008-11-26 R. N. Faustov , A. P. Martynenko , V. A. Saleev

In the last twenty years, the theory of hyperfine splitting in muonium developed without any experimental input. Finally, this situation is changing and a new experiment on measuring hyperfine splitting in muonium is now in progress at…

High Energy Physics - Phenomenology · Physics 2019-07-09 Michael I. Eides

We constrain the possibility of a new pseudoscalar coupling between the muon and proton using a recent measurement of the 2S hyperfine splitting in muonic hydrogen.

High Energy Physics - Phenomenology · Physics 2015-05-18 W. -Y. Keung , D. Marfatia

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

Axion-like particles and similar new pseudoscalar as well as vector bosons coupled to nucleons and electrons are predicted to lead to spin-dependent forces in atoms and ions. We argue that hyperfine structure measurements in hydrogen- and…

High Energy Physics - Phenomenology · Physics 2026-03-03 Cedric Quint , Fabian Heiße , Joerg Jaeckel , Lutz Leimenstoll , Christoph H. Keitel , Zoltán Harman

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

In the past year, polarized deep inelastic scattering experiments at CERN and SLAC have obtained structure function measurements off proton, neutron and deuteron targets at a level of precision never before achieved. The measurements can be…

High Energy Physics - Phenomenology · Physics 2010-04-06 T. Gehrmann , W. J. Stirling

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…

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

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

The proton polarizability effect in the muonic-hydrogen Lamb shift comes out as a prediction of baryon chiral perturbation theory at leading order and our calculation yields for it: $\Delta E^{(\mathrm{pol})} (2P-2S) = 8^{+3}_{-1}\, \mu$eV.…

High Energy Physics - Phenomenology · Physics 2015-06-18 Jose Manuel Alarcón , Vadim Lensky , Vladimir Pascalutsa

By solving the two-body Schordinger equation in a very high precise nonperturbative numerical (NPnum) way, we reexamine the contributions of fine, hyperfine structure splittings of muonic hydrogen based on the Breit potential. The…

Nuclear Theory · Physics 2015-06-03 Hou-Rong Pang , Hai-Qing Zhou

Corrections of orders alpha^5 and alpha^6 are calculated in the hyperfine splittings of 1S and 2S - energy levels in the ion of muonic helium. The electron vacuum polarization effects, the nuclear structure corrections and recoil…

High Energy Physics - Phenomenology · Physics 2014-11-18 A. P. Martynenko
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