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We estimate the form factors that parametrise the hadronic matrix elements of proton-to-pion transitions with the help of light-cone sum rules. These form factors are relevant for semi-leptonic proton decay channels induced by baryon-number…

High Energy Physics - Phenomenology · Physics 2021-06-08 Ulrich Haisch , Amando Hala

The proton radius has been measured in electron-proton scattering experiments and laser based spectroscopy of muonic hydrogen. The latter method is based on the precise calculations for the atomic energy levels in the approximation of…

High Energy Physics - Experiment · Physics 2021-12-02 Vitaly Baturin , Igor Strakovsky

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

On the basis of perturbation theory in fine structure constant alpha and the ratio of electron to muon masses we calculate one-loop vacuum polarization, electron vertex corrections, nuclear structure and recoil corrections to hyperfine…

High Energy Physics - Phenomenology · Physics 2015-09-01 A. P. Martynenko , A. A. Ulybin

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

The proton radius puzzle remains a key challenge in modern physics, highlighting both the precision and limitations of current experimental and theoretical approaches. Recent studies, such as those by Xiong et al. and Bezginov et al., have…

Nuclear Experiment · Physics 2025-01-22 Roland B. Lumpay , Jade C. Jusoy , Ruel Apas , Eulogio Auxtero

High-precision measurements of the proton radius from laser spectroscopy of muonic hydrogen demonstrated up to six standard deviations smaller values than obtained from electron-proton scattering and hydrogen spectroscopy. The status of…

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…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. N. Faustov , A. P. Martynenko

We consider leading $O(m/M)$ nuclear recoil corrections to the hyperfine splitting in light atomic systems. Due to the singularity of hyperfine interactions, the electromagnetic form factors of the nucleus have to be introduced as a…

Atomic Physics · Physics 2024-01-12 Krzysztof Pachucki

The measurement of the Lamb shift in muonic hydrogen and the subsequent emergence of the proton-radius puzzle have motivated an experimental campaign devoted to measuring the Lamb shift in other light muonic atoms, such as muonic deuterium…

Nuclear Theory · Physics 2018-08-29 Chen Ji , Sonia Bacca , Nir Barnea , Oscar Javier Hernandez , Nir Nevo-Dinur

In the framework of the quasipotential method in quantum electrodynamics we calculate corrections to the nuclear structure proportional to $r_N^2$ from two-photon exchange amplitudes in the fine and hyperfine structure of P-states in muonic…

High Energy Physics - Phenomenology · Physics 2018-08-29 A. E. Dorokhov , N. I. Kochelev , A. P. Martynenko , F. A. Martynenko , A. E. Radzhabov

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

On the basis of recent precise measurements of the electric form factor of the proton, the Zemach moments, needed as input parameters for the determination of the proton rms radius from the measurement of the Lamb shift in muonic hydrogen,…

Nuclear Theory · Physics 2011-02-03 Michael O. Distler , Jan C. Bernauer , Thomas Walcher

The Breit equation with two electromagnetic form-factors is studied to obtain a potential with finite size corrections. This potential with proton structure effects includes apart from the standard Coulomb term, the Darwin term, retarded…

High Energy Physics - Phenomenology · Physics 2015-05-19 F. Garcia Daza , N. G. Kelkar , M. Nowakowski

We systematically calculate the radiative corrections of order $\alpha/\pi$ to elastic muon-proton scattering at low momentum transfers. These include vacuum polarization, photon-loop form factors of the muon and the proton, two-photon…

High Energy Physics - Phenomenology · Physics 2022-04-20 Norbert Kaiser , Yong-Hui Lin , Ulf-G. Meißner

We report the first experimental determination of the collision-energy dependence of the muon transfer rate from the ground state of muonic hydrogen to oxygen at near-thermal energies. A sharp increase by nearly an order of magnitude in the…

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

The complete contribution to the muonium hyperfine splitting of relative order alpha^3(m_e/m_mu)ln(alpha) is calculated. The result amounts to 0.013 kHZ, much smaller than suggested by a previous estimate, and leads to a 2-sigma shift of…

High Energy Physics - Phenomenology · Physics 2009-10-31 Richard Hill

Radiative-recoil corrections to hyperfine splitting in muonium of orders $\alpha(Z\alpha)(m/M)^2E_F$ and $(Z^2\alpha)(Z\alpha)(m/M)^2E_F$ are calculated. These corrections are of the second order in the small electron-muon mass ratio. An…

High Energy Physics - Phenomenology · Physics 2009-08-25 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

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