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Related papers: The muonic hydrogen Lamb shift and the proton radi…

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To shed light on the deuteron radius puzzle we analyze the theoretical uncertainties of the nuclear structure corrections to the Lamb shift in muonic deuterium. We find that the discrepancy between the calculated two-photon exchange…

Nuclear Theory · Physics 2018-06-12 Oscar Javier Hernandez , Andreas Ekström , Nir Nevo Dinur , Chen Ji , Sonia Bacca , Nir Barnea

The hadronic vacuum polarization (HVP) contributions to the muon $g$$-$$2$ are the crucial quantity to resolve whether new physics is present or not in the comparison between the Standard Model (SM) prediction and experimental measurements…

High Energy Physics - Phenomenology · Physics 2025-03-27 Luca Di Luzio , Alexander Keshavarzi , Antonio Masiero , Paride Paradisi

Radiative corrections which remove accidental degeneracy in the spectrum of the relativistic hydrogen atom and lead to the modification of the Coulomb law, are calculated within the novel approach, based on the exact solution of the Dirac…

Quantum Physics · Physics 2024-06-06 A. A. Eremko , L. S. Brizhik , V. M. Loktev

The result of a recent measurement of the size of the proton [R. Pohl et al., Nature 466, 213] performed on the base of the muonic hydrogen spectroscopy turned out to be significantly different, by five standard deviations, from the results…

Quantum Physics · Physics 2011-03-22 Renat Kh. Gainutdinov

The multipole content of pion photoproduction at the $\Delta^+ (1232)$ resonance has been extracted from a data set dominated by recent Mainz Microtron (MAMI) precision measurements. The analysis has been carried out in the Athens Model…

Nuclear Experiment · Physics 2018-08-01 L. Markou , E. Stiliaris , C. N. Papanicolas

Accurate spectroscopic measurements of calculable systems provide a powerful method for testing the Standard Model and extracting fundamental constants. Recently, spectroscopic measurements of finite nuclear size effects in normal and…

Atomic Physics · Physics 2023-06-06 Y. van der Werf , K. Steinebach , R. Jannin , H. L. Bethlem , K. S. E. Eikema

We present a novel method for extracting the proton radius from elastic electron-proton ($ep$) scattering data. The approach is based on interpolation via continued fractions augmented by statistical sampling and avoids any assumptions on…

High Energy Physics - Phenomenology · Physics 2021-09-01 Zhu-Fang Cui , Daniele Binosi , Craig D. Roberts , Sebastian M. Schmidt

Using our present knowledge on effective hadronic theories, short-distance QCD information, the $1/N_C$ expansion, analyticity and unitarity, we derive an expression for the pion form factor, in terms of $m_\pi, m_K, M_\rho$ and $f_\pi$.…

High Energy Physics - Phenomenology · Physics 2011-05-05 F. Guerrero , A. Pich

We show that in previous analyses of electron-proton scattering, the uncertainties in the statistical procedure to extract the proton charge radius are underestimated. Using a fit function based on a conformal mapping, we can describe the…

High Energy Physics - Phenomenology · Physics 2014-08-28 I. T. Lorenz , U. -G. Meißner

We reexamine the structure of the $n=2$ levels of muonic hydrogen using a two-body potential that includes all relativistic, recoil and one loop corrections. The potential was originally derived from QED to describe the muonium atom and…

High Energy Physics - Phenomenology · Physics 2018-07-11 Wayne W. Repko , Duane A. Dicus

The hadronic vacuum polarization (HVP) corrections to energy levels in muonic atoms are studied systematically across the periodic table. Two nuclear charge distribution models have been considered, with partly analytical solution for an…

Atomic Physics · Physics 2025-09-03 Zoia A. Mandrykina , Moritz Thierfeld , Natalia S. Oreshkina

The proton radius puzzle is known as the discrepancy of the proton radius, obtained from muonic hydrogen spectroscopy (obtained as being roughly equal to 0.84fm), and the proton radius obtained from (ordinary) hydrogen spectroscopy where a…

Atomic Physics · Physics 2023-04-14 Ulrich D. Jentschura

Corrections of orders $\alpha^5$ and $\alpha^6$ are calculated in the fine structure interval $\Delta E^{fs}=E(2P_{3/2})-E(2P_{1/2})$ and in the hyperfine structure of the energy levels $2P_{1/2}$ and $2P_{3/2}$ in muonic hydrogen. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. P. Martynenko

We report a measurement of the ortho-para transition rate in the p$\mu$p molecule. The experiment was conducted at TRIUMF via the measurement of the time dependence of the 5.2 MeV neutrons from muon capture in liquid hydrogen. The…

Chiral perturbation theory makes definitive predictions for the extrinsic behavior of hadrons in external electric and magnetic fields. Near the chiral limit, the electric and magnetic polarizabilities of pions, kaons, and nucleons are…

High Energy Physics - Lattice · Physics 2015-05-30 W. Detmold , B. C. Tiburzi , A. Walker-Loud

The successful precision measurement of the rate of muon capture on a proton by the MuCap Collaboration allows for a stringent test of the current theoretical understanding of this process. Chiral perturbation theory, which is a low-energy…

Nuclear Theory · Physics 2015-06-19 S. Pastore , F. Myhrer , K. Kubodera

The radiative correction to the nuclear charge radius contribution to the Lamb shift of order $\alpha(Z\alpha)^5m_r^3<r^2>$ is calculated. In view of the recent high precision experimental data, this theoretical correction produces a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Michael I. Eides , Howard Grotch

We obtain a general result for the Lamb shift of excited states of multi-level atoms in inhomogeneous electromagnetic structures and apply it to study atomic hydrogen in inverse-opal photonic crystals. We find that the photonic-crystal…

Quantum Physics · Physics 2009-11-10 Xue-Hua Wang , Yuri S Kivshar , Ben-Yuan Gu

We calculate the two-photon exchange correction to the Lamb shift in muonic helium-3 ions within the dispersion relations framework. Part of the effort entailed making analytic fits to the electron-$^3$He quasielastic scattering data set,…

Nuclear Theory · Physics 2017-02-01 Carl E. Carlson , Mikhail Gorchtein , Marc Vanderhaeghen

I review recent evaluations of the hadronic contributions to the muon anomalous magnetic moment (g-2)_mu and to the effective fine structure constant alpha (M_Z). A new estimate for the hadronic shift delta_alpha hadronic = 0.027782 +/-…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Jegerlehner