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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 "proton radius puzzle" was recently solved by reducing the four-standard deviation discrepancy between the results for electronic hydrogen ($H$) and muonic hydrogen ($\mu H$) atoms to $3.3$ value. The value of the root-mean-square…

Atomic Physics · Physics 2021-03-30 D. Solovyev , T. Zalialiutdinov , A. Anikin

The rate of muon capture in a muonic hydrogen atom is calculated in heavy-nucleon chiral perturbation theory up to next-to-next-to leading order. To this order, we present the systematic evaluation of all the corrections due to the QED and…

Nuclear Theory · Physics 2013-06-04 U. Raha , F. Myhrer , K. Kubodera

We investigate interactions between the proton spin, the deuteron spin, and the orbital angular momentum in the electronic ground state of the HD molecule. These interactions lead to hyperfine splittings of molecular energy levels. Our…

Chemical Physics · Physics 2020-07-29 Jacek Komasa , Mariusz Puchalski , Krzysztof Pachucki

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

The advent of high-intensity, high-polarization electron beams led to significantly improved measurements of the ratio of the proton's charge to electric form factors, GEp/GMp. However, high-$Q^2$ measurements yielded significant…

Jefferson Lab experiment E08-007 measured the proton elastic form factor ratio $\mu_pG_E/G_M$ in the range of $Q^2=0.3-0.7(\mathrm{GeV}/c)^2$ by recoil polarimetry. Data were taken in 2008 at the Thomas Jefferson National Accelerator…

Nuclear Experiment · Physics 2011-08-25 Xiaohui Zhan

A measurement of the Lamb shift of 49,881.88(76) GHz in muonic hydrogen in conjunction with theoretical estimates of the proton structure effects was recently used to deduce an accurate but rather small radius of the proton. Such an…

High Energy Physics - Phenomenology · Physics 2015-06-04 N. G. Kelkar , F. Garcia Daza , M. Nowakowski

Measuring the spin structure of protons and neutrons tests our understanding of how they arise from quarks and gluons, the fundamental building blocks of nuclear matter. At long distances the coupling constant of the strong interaction…

Nuclear Experiment · Physics 2022-01-13 X. Zheng , A. Deur , H. Kang , S. E. Kuhn , M. Ripani , J. Zhang , K. P. Adhikari , S. Adhikari , M. J. Amaryan , H. Atac , H. Avakian , L. Barion , M. Battaglieri , I. Bedlinskiy , F. Benmokhtar , A. Bianconi , A. S. Biselli , S. Boiarinov , M. Bondi , F. Bossu , P. Bosted , W. J. Briscoe , J. Brock , W. K. Brooks , D. Bulumulla , V. D. Burkert , C. Carlin , D. S. Carman , J. C. Carvajal , A. Celentano , P. Chatagnon , T. Chetry , J. -P. Chen , S. Choi , G. Ciullo , L. Clark , P. L. Cole , M. Contalbrigo , V. Crede , A. D'Angelo , N. Dashyan , R. De Vita , M. Defurne , S. Diehl , C. Djalali , V. A. Drozdov , R. Dupre , M. Ehrhart , A. El Alaoui , L. Elouadrhiri , P. Eugenio , G. Fedotov , S. Fegan , R. Fersch , A. Filippi , T. A. Forest , Y. Ghandilyan , G. P. Gilfoyle , K. L. Giovanetti , F. -X. Girod , D. I. Glazier , R. W. Gothe , K. A. Griffioen , M. Guidal , N. Guler , L. Guo , K. Hafidi , H. Hakobyan , M. Hattawy , T. B. Hayward , D. Heddle , K. Hicks , A. Hobart , T. Holmstrom , M. Holtrop , Y. Ilieva , D. G. Ireland , E. L. Isupov , H. S. Jo , K. Joo , S. Joosten , C. D. Keith , D. Keller , A. Khanal , M. Khandaker , C. W. Kim , W. Kim , F. J. Klein , A. Kripko , V. Kubarovsky , L. Lanza , M. Leali , P. Lenisa , K. livingston , E. Long , I. J. D. MacGregor , N. Markov , L. Marsicano , V. Mascagna , B. McKinnon , D. G. Meekins , T. Mineeva , M. Mirazita , V. Mokeev , C. Mullen , P. Nadel-Turonski , K. Neupane , S. Niccolai , M. Osipenko , A. I. Ostrovidov , M. Paolone , L. Pappalardo , K. Park , E. Pasyuk , W. Phelps , S. K. Phillips , O. Pogorelko , J. Poudel , Y. Prok , B. A. Raue , J. Ritman , A. Rizzo , G. Rosner , P. Rossi , J. Rowley , F. Sabatie , C. Salgado , A. Schmidt , R. A. Schumacher , M. L. Seely , Y. G. Sharabian , U. Shrestha , S. Sirca , K. Slifer , N. Sparveris , S. Stepanyan , I. I. Strakovsky , S. Strauch , V. Sulkosky , N. Tyler , M. Ungaro , L. Venturelli , H. Voskanyan , E. Voutier , D. P. Watts , X. Wei , L. B. Weinstein , M. H. Wood , B. Yale , N. Zachariou , Z. W. Zhao

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 present the experimental status of electromagnetic hadron form factors. New and surprising results, based on polarization measurements, have been recently obtained for the electric proton and neutron form factors. In particular, the…

High Energy Physics - Phenomenology · Physics 2015-06-25 Egle Tomasi-Gustafsson

High-precision knowledge of electromagnetic form factors of nuclei is a subject of much current experimental and theoretical activity in nuclear and atomic physics. Such precision mandates that effects of the non-zero spatial extent of the…

Nuclear Theory · Physics 2019-12-11 Gerald A. Miller

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

In contrast to other atomic systems, in true muonium ($\mu^+\mu^-$) the leading-order $Z$ boson corrections to the hyperfine splitting are shown to be experimentally accessible in the near future. This contribution ($-109$ MHz) constitutes…

High Energy Physics - Phenomenology · Physics 2015-04-16 Henry Lamm

Gravitational form factors (GFFs) of hadrons encode essential information about the internal distributions of mass, spin, pressure, and shear among their quark and gluon constituents. We compute the quark and gluon GFFs of the proton using…

High Energy Physics - Phenomenology · Physics 2025-06-10 Sreeraj Nair , Chandan Mondal , Siqi Xu , Xingbo Zhao , James P. Vary

We compute the electromagnetic form factors of the proton and neutron using lattice QCD with $N_f = 2 + 1 + 1$ twisted mass clover-improved fermions and quark masses tuned to their physical values. Three ensembles with lattice spacings of…

High Energy Physics - Lattice · Physics 2025-02-18 Constantia Alexandrou , Simone Bacchio , Giannis Koutsou , Bhavna Prasad , Gregoris Spanoudes

Measurements of the proton structure function $F_2$ for $0.6 < Q^2 < 17 {GeV}^2$ and $1.2 \times 10^{-5} < x <1.9 \times 10^{-3}$ from ZEUS 1995 shifted vertex data are presented. From ZEUS $F_2$ data the slopes $dF_2/d\ln Q^2$ at fixed $x$…

High Energy Physics - Experiment · Physics 2012-08-27 ZEUS Collaboration

The proton charge radius inferred from muonic hydrogen spectroscopy is not compatible with the previous value given by CODATA-2010, which, on its turn, essentially relies on measurements of the electron-proton interaction. The proton's new…

High Energy Physics - Phenomenology · Physics 2016-08-24 F. Dahia , A. S. Lemos

Background: The recent disagreement between the proton charge radius extracted from Lamb shift measurements of muonic and electronic hydrogen invites speculation that new physics may be to blame. Several proposals have been made for new…

High Energy Physics - Phenomenology · Physics 2013-05-30 Carl E. Carlson , Benjamin C. Rislow

The precise determination of the proton radius from recent elastic scattering electron-proton data is discussed. The necessary precision on the elastic cross section to discriminate among the values coming from atomic spectroscopy is…

Nuclear Theory · Physics 2018-12-12 Simone Pacetti , Egle Tomasi-Gustafsson