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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…

Atomic Physics · Physics 2026-04-09 Andrzej Maroń , Mateusz Pańtak , Krzysztof Pachucki

We report on preliminary results from a systematic study of the hyperfine (HF) structure of antiprotonic helium. This precise measurement which was commenced in 2006, has now been completed. Our initial analysis shows no apparent density or…

Atomic Physics · Physics 2015-05-13 T. Pask

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 FAMU experiment at RAL has been designed to study the hyperfine splitting (HFS) of muonic hydrogen and thus measure the Zemach radius of the proton, with a precision better than 1 %. The HFS transition is excited by a tunable MIR laser…

Instrumentation and Detectors · Physics 2025-07-03 M. Bonesini

A hydrogen-like atom consisting of a positive muon and an electron is known as muonium. It is a near-ideal two-body system for a precision test of bound-state theory and fundamental symmetries. The MuSEUM collaboration performed a new…

We present a high-precision calculation of the recoil--finite-size correction to the hyperfine splitting (HFS) in muonic and electronic hydrogen based on nucleon electromagnetic form factors obtained from dispersion theory. This will help…

Nuclear Theory · Physics 2022-11-23 Aldo Antognini , Yong-Hui Lin , Ulf-G. Meißner

The hyperfine structures of the ground states in the ${}^{3}$He$^{2+} \mu^{-} e^{-}$ and ${}^{4}$He$^{2+} \mu^{-} e^{-}$ helium-muonic atoms are investigated with the use of highly accurate variational wave functions. The differences…

Quantum Physics · Physics 2015-06-04 Alexei M. Frolov

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

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

The recoil, vacuum polarization and electron vertex corrections of first and second orders in the fine structure constant $\alpha$ and the ratio of electron to muon and electron to \alpha-particle masses are calculated in the hyperfine…

High Energy Physics - Phenomenology · Physics 2013-05-30 A. A. Krutov , A. P. Martynenko

The measurement of the 2P^{F=2}_{3/2} to 2S^{F=1}_{1/2} transition in muonic hydrogen by Pohl et al. and subsequent analysis has led to the conclusion that the rms radius of the proton differs from the accepted (CODATA) value by…

Atomic Physics · Physics 2011-08-15 J. D. Carroll , A. W. Thomas , J. Rafelski , G. A. Miller

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

High-precision laser spectroscopy of atomic energy levels enables the measurement of nuclear properties. Sensitivity to these properties is particularly enhanced in muonic atoms which are bound systems of a muon and a nucleus. Exemplary is…

Atomic Physics · Physics 2016-08-12 Aldo Antognini

Calculations of the magnetic hyperfine structure rely on the input of nuclear properties -- nuclear magnetic moments and nuclear magnetization distributions -- as well as quantum electrodynamic (QED) radiative corrections for high-accuracy…

Atomic Physics · Physics 2018-09-19 J. S. M. Ginges , A. V. Volotka

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

Dalitz decays of a hyperon resonance to a ground-state hyperon and an electron-positron pair can give access to some information about the composite structure of hyperons. We present expressions for the multi-differential decay rates in…

High Energy Physics - Phenomenology · Physics 2021-04-13 Stefan Leupold , Nora Salone

We perform a new analysis of electron-proton scattering data to determine the proton electric and magnetic radii, enforcing model-independent constraints from form factor analyticity. A wide-ranging study of possible systematic effects is…

High Energy Physics - Phenomenology · Physics 2015-07-29 Gabriel Lee , John R. Arrington , Richard J. Hill

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

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

The study of protons, fundamental constituents of atomic nuclei, is crucial for understanding nuclear physics and fundamental forces. This review examines advancements in extracting electromagnetic form factors, essential for probing proton…

Nuclear Experiment · Physics 2025-02-25 Gerome A. Paterez , Jade C. Jusoy , Edmar Pantohan , Eulogio Auxtero