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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…

High Energy Physics - Phenomenology · Physics 2018-02-14 Oleksandr Tomalak

The 1S hyperfine splitting in hydrogen is measured to an impressive ppt precision and will soon be measured to ppm precision in muonic hydrogen. The latter measurement will rely on theoretical predictions, which are limited by knowledge of…

In the framework of the quasipotential method in quantum electrodynamics we calculate the contribution of light pseudoscalar (PS) and axial-vector (AV) mesons to the interaction operator of a muon and a proton in muonic hydrogen atom. The…

High Energy Physics - Phenomenology · Physics 2018-02-14 A. E. Dorokhov , N. I. Kochelev , A. P. Martynenko , F. A. Martynenko , A. E. Radzhabov , R. N. Faustov

In the framework of the quasipotential method in quantum electrodynamics we calculate the contribution of pseudoscalar mesons to the interaction operator of a muon and a proton in muonic hydrogen atom. The parametrization of the transition…

High Energy Physics - Phenomenology · Physics 2017-11-28 A. E. Dorokhov , N. I. Kochelev , A. P. Martynenko , F. A. Martynenko , R. N. Faustov

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

Corrections of orders alpha^5, alpha^6 are calculated in the hyperfine splitting of the 2S state in the muonic hydrogen. 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 2009-11-10 A. P. Martynenko

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

Atomic spectroscopy can be used to search for new bosons that carry exotic forces between elementary fermions. A comparison of a recent precise measurement [Bullis \textit{et al.}, Phys. Rev. Lett. \textbf{130}, 203001 (2023)] of the…

Atomic Physics · Physics 2025-11-25 Lei Cong , Filip Ficek , Pavel Fadeev , Dmitry Budker

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

The contribution from the axial-vector meson exchange to the potential of the muon-proton interaction in muonic hydrogen induced by anomalous axial-vector meson coupling to two photon state is calculated. It is shown that such contribution…

High Energy Physics - Phenomenology · Physics 2017-11-28 A. E. Dorokhov , N. I. Kochelev , A. P. Martynenko , F. A. Martynenko , A. E. Radzhabov

A detailed discussion of the long-range one-pion exchange (Yukawa potential) contribution to the 2S hyperfine splitting in muonic hydrogen which had, until recently, been disregarded is presented. We evaluate the relevant vertex amplitudes,…

High Energy Physics - Phenomenology · Physics 2016-06-15 Nguyen Thu Huong , Emi Kou , Bachir Moussallam

The 7 standard deviations between the proton rms charge radius from muonic hydrogen and the CODATA-10 value from hydrogen spectroscopy and electron-scattering has caused considerable discussions. Here, we review the theory of the 2S-2P Lamb…

We summarize recent work on muon capture and the pseudoscalar form factor of the nucleon.

High Energy Physics - Phenomenology · Physics 2007-05-23 Veronique Bernard , Thomas R. Hemmert , Ulf-G. Meissner

Uncertainty of the theoretical prediction for the hyperfine splitting in the ground state of muonium is considered. It is compared with the respective discussion in the two most recent CODATA adjustments of the fundamental physical…

High Energy Physics - Phenomenology · Physics 2026-03-11 Michael I. Eides

The potential existence of a fifth fundamental force, mediated by the X17 boson, has generated significant interest. This force can manifest itself as either a vector or pseudoscalar particle. In order to gain insight into the effective…

High Energy Physics - Phenomenology · Physics 2023-12-21 Jingxuan Chen , Qian Wu , Xurong Chen , Qian Wang

The usefulness of study of hyperfine splitting in the hydrogen atom is limited on a level of 10 ppm by our knowledge of the proton structure. One way to go beyond 10 ppm is to study a specific difference of the hyperfine structure intervals…

Atomic Physics · Physics 2007-05-23 Savely G. Karshenboim

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

A light pseudoscalar of the lepton-specific 2HDM can enhance the muon g-2, but suffer from various constraints easily, such as the 125.5 GeV Higgs signals, non-observation of additional Higgs at the collider and even $B_s\to \mu^+\mu^-$. In…

High Energy Physics - Phenomenology · Physics 2015-06-11 Lei Wang , Xiao-Fang Han

The hyperfine splitting in hydrogenlike $^{209}$Bi, $^{203}$Tl, and $^{205}$Tl is calculated with the nuclear magnetization determined from experimental data on the hyperfine splitting in the corresponding muonic atoms. The single-particle…

Atomic Physics · Physics 2007-05-23 A. A. Elizarov , V. M. Shabaev , N. S. Oreshkina , I. I. Tupitsyn

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
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