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The MUSE experiment at Paul Scherrer Institute will perform the first measurement of low-energy muon-proton elastic scattering (muon lab momenta 115-210 MeV) with the aim of determining the proton charge radius. We study the prospects for…

High Energy Physics - Phenomenology · Physics 2023-06-05 F. Gil-Domínguez , J. M. Alarcón , C. Weiss

We calculate differential cross sections for proton-nucleus elastic scattering by using a Glauber theory in the optical limit approximation and nucleon distributions that can be obtained in the framework of macroscopic nuclear models in a…

Nuclear Theory · Physics 2015-06-26 Kei Iida , Kazuhiro Oyamatsu , Badawy Abu-Ibrahim

To date the magnetic radius of the proton has been determined only by means of electron-proton scattering, which is not free of controversies. Any existing atomic determinations are irrelevant because they are strongly model-dependent. We…

High Energy Physics - Phenomenology · Physics 2014-11-04 Savely G. Karshenboim

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 root-mean-square (rms) nuclear charge radius of ^8He, the most neutron-rich of all particle-stable nuclei, has been determined for the first time to be 1.93(3) fm. In addition, the rms charge radius of ^6He was measured to be 2.068(11)…

In the light of the new data on the various neutron and proton electromagnetic form factors taken in recent years, we update the dispersion-theoretical analysis of the nucleon electromagnetic form factors from the mid-nineties. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. -W. Hammer , Ulf-G. Meißner

Alvarado, Aranda, and Bonilla propose a sub-GeV U(1)R gauge boson model to explain the proton charge radius discrepancy. Their model assumes opposite sign U(1)R charge assignments for up and down quarks in the nucleon. I point out that…

High Energy Physics - Phenomenology · Physics 2022-03-16 Michael J. Longo

Modern electron scattering experiments have determined the proton electric form factor, G_{Ep}(Q^2), to high precision. We utilize this data, represented by the different form factor parametrizations, to compute the third Zemach moment of…

High Energy Physics - Phenomenology · Physics 2011-02-28 Ian C. Cloet , Gerald A. Miller

We argue that the proton's charge-radius contributes differently to shifts of Hydrogen-like energy levels than naively expected due to an incorrect choice for the boundary condition at the proton's position in standard calculations. In…

High Energy Physics - Phenomenology · Physics 2017-09-01 C. P. Burgess , Peter Hayman , Markus Rummel , Laszlo Zalavari

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

Elastic scattering of relativistic electrons from the nucleon yields Lorentz invariant form factors that describe the fundamental distribution of charge and magnetism. The spatial dependence of the nucleon's charge and magnetism is…

Nuclear Experiment · Physics 2016-06-28 T. W. Donnelly , D. K. Hasell , R. G. Milner

The PRad experiment has credibly demonstrated the advantages of the calorimetric method in e-p scattering experiments to measure the proton root-mean-square (RMS) charge radius with high accuracy. The PRad result, within its experimental…

The Proton Radius Puzzle refers to the ~7{\sigma} discrepancy that exists between the proton charge radius determined from muonic hydrogen and that determined from electronic hydrogen spectroscopy and electron-proton scattering. One…

Nuclear Experiment · Physics 2014-10-29 E. Kraus , K. E. Mesick , A. White , R. Gilman , S. Strauch

We present new precision measurements of the elastic electron-proton scattering cross section for momentum transfer (Q$^2$) up to 15.75~\gevsq. Combined with existing data, these provide an improved extraction of the proton magnetic form…

Nuclear Experiment · Physics 2022-03-24 M. E. Christy , T. Gautam , L. Ou , B. Schmookler , Y. Wang , D. Adikaram , Z. Ahmed , H. Albataineh , S. F. Ali , B. Aljawrneh , K. Allada , S. L. Allison , S. Alsalmi , D. Androic , K. Aniol , J. Annand , J. Arrington , H. Atac , T. Averett , C. Ayerbe Gayoso , X. Bai , J. Bane , S. Barcus , K. Bartlett , V. Bellini , R. Beminiwattha , J. Bericic , H. Bhatt , D. Bhetuwal , D. Biswas , E. Brash , D. Bulumulla , C. M. Camacho , J. Campbell , A. Camsonne , M. Carmignotto , J. Castellanos , C. Chen , J-P. Chen , T. Chetry , E. Cisbani , B. Clary , E. Cohen , N. Compton , J. C. Cornejo , S. Covrig Dusa , B. Crowe , S. Danagoulian , T. Danley , W. Deconinck , M. Defurne , C. Desnault , D. Di , M. Dlamini , M. Duer , B. Duran , R. Ent , C. Fanelli , E. Fuchey , C. Gal , D. Gaskell , F. Georges , S. Gilad , O. Glamazdin , K. Gnanvo , A. V. Gramolin , V. M. Gray , C. Gu , A. Habarakada , T. Hague , G. Hamad , D. Hamilton , K. Hamilton , O. Hansen , F. Hauenstein , A. V. Hernandez , W. Henry , D. W. Higinbotham , T. Holmstrom , T. Horn , Y. Huang , G. M. Huber , C. Hyde , H. Ibrahim , N. Israel , C-M. Jen , K. Jin , M. Jones , A. Kabir , B. Karki , C. Keppel , V. Khachatryan , P. M. King , S. Li , W. Li , H. Liu , J. Liu , A. H. Liyanage , D. Mack , J. Magee , S. Malace , J. Mammei , P. Markowitz , S. Mayilyan , E. McClellan , F. Meddi , D. Meekins , K. Mesick , R. Michaels , A. Mkrtchyan , B. Moffit , R. Montgomery , L. S. Myers , P. Nadel-Turonski , S. J. Nazeer , V. Nelyubin , D. Nguyen , N. Nuruzzaman , M. Nycz , R. F. Obrecht , K. Ohanyan , C. Palatchi , B. Pandey , K. Park , S. Park , C. Peng , F. D. Persio , R. Pomatsalyuk , E. Pooser , A. J. R. Puckett , V. Punjabi , B. Quinn , S. Rahman , M. N. H. Rashad , S. Riordan , J. Roche , I. Sapkota , A. Sarty , B. Sawatzky , N. H. Saylor , M. H. Shabestari , A. Shahinyan , S. Sirca , G. R. Smith , S. Sooriyaarachchilage , N. Sparveris , R. Spies , A. Stefanko , T. Su , A. Subedi , V. Sulkosky , A. Sun , Y. Tan , L. Thorne , N. Ton , F. Tortorici , R. Trotta , R. Uniyal , G. M. Urciuoli , E. Voutier , B. Waidyawansa , B. Wojtsekhowski , S. Wood , X. Yan , L. Ye , Z. H. Ye , C. Yero , J. Zhang , Y. X. Zhao , P. Zhu

The size is a key property of a nucleus. Accurate nuclear radii are extracted from elastic electron scattering, laser spectroscopy, and muonic atom spectroscopy. The results are not always compatible, as the proton-radius puzzle has shown…

Intensive theoretical and experimental efforts over the past decade have aimed at explaining the discrepancy between data for the proton electric to magnetic form factor ratio, $G_{E}/G_{M}$, obtained separately from cross section and…

Nuclear Experiment · Physics 2011-04-05 M. Meziane , E. J. Brash , R. Gilman , M. K. Jones , W. Luo , L. Pentchev , C. F. Perdrisat , A. J. R. Puckett , V. Punjabi , F. R. Wesselmann , A. Ahmidouch , I. Albayrak , K. A. Aniol , J. Arrington , A. Asaturyan , O. Ates , H. Baghdasaryan , F. Benmokhtar , W. Bertozzi , L. Bimbot , P. Bosted , W. Boeglin , C. Butuceanu , P. Carter , S. Chernenko , E. Christy , M. Commisso , J. C. Cornejo , S. Covrig , S. Danagoulian , A. Daniel , A. Davidenko , D. Day , S. Dhamija , D. Dutta , R. Ent , S. Frullani , H. Fenker , E. Frlez , F. Garibaldi , D. Gaskell , S. Gilad , Y. Goncharenko , K. Hafidi , D. Hamilton , D. W. Higinbotham , W. Hinton , T. Horn , B. Hu , J. Huang , G. M. Huber , E. Jensen , H. Kang , C. Keppel , M. Khandaker , P. King , D. Kirillov , M. Kohl , V. Kravtsov , G. Kumbartzki , Y. Li , V. Mamyan , D. J. Margaziotis , P. Markowitz , A. Marsh , Y. Matulenko , J. Maxwell , G. Mbianda , D. Meekins , Y. Melnik , J. Miller , A. Mkrtchyan , H. Mkrtchyan , B. Moffit , O. Moreno , J. Mulholland , A. Narayan , Nuruzzaman , S. Nedev , E. Piasetzky , W. Pierce , N. M. Piskunov , Y. Prok , R. D. Ransome , D. S. Razin , P. E. Reimer , J. Reinhold , O. Rondon , M. Shabestari , A. Shahinyan , K. Shestermanov , S. Sirca , I. Sitnik , L. Smykov , G. Smith , L. Solovyev , P. Solvignon , R. Subedi , R. Suleiman , E. Tomasi-Gustafsson , A. Vasiliev , M. Vanderhaeghen , M. Veilleux , B. B. Wojtsekhowski , S. Wood , Z. Ye , Y. Zanevsky , X. Zhang , Y. Zhang , X. Zheng , L. Zhu

By combining a renormalization group argument relating the charge e and mass m of the proton by e^2 ln m ~ 0.1 pi (in Planck units) with the Carter-Carr-Rees anthropic argument that gives an independent approximate relation m ~ e^20 between…

High Energy Physics - Theory · Physics 2014-11-18 Don N. Page

We study the ratio $R\equiv\mu G_E(Q^2)/G_M(Q^2)$ of the proton at very small values of $Q^2$. Radii commonly associated with these form factors are not moments of charge or magnetization densities. We show that the form factor $F_2$ is…

Nuclear Theory · Physics 2008-11-26 Gerald A. Miller , E. Piasetzky , G. Ron

Multi-photon exchange contributions are important in extracting the proton charge radius from elastic electron--proton scattering. So far, only diagrams associated with the exchange of a second photon have been evaluated. At the very low…

Nuclear Experiment · Physics 2013-09-10 John Arrington

A global analysis of proton electric form factor experimental data from Rosenbluth separation and low squared four-momentum transfer experiments is discussed for the evaluation of the spatial moments of the proton charge density based on…

Nuclear Experiment · Physics 2025-01-07 M. Atoui , M. B. Barbaro , M. Hoballah , C. Keyrouz , M. Lassaut , D. Marchand , G. Quéméner , E. Voutier