Proton radius from electron-proton scattering and chiral perturbation theory

Horbatsch, Marko; Hessels, E. A.; Pineda, A. Morelos

doi:10.1103/physrevc.95.035203

Cited by 48 publications

(60 citation statements)

References 74 publications

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“…The latter allows one to predict the higher moments r 2n , which affect R when using Equation (12), to analyze electron scattering [116]. These higher moments are, however, very far from the values obtained from electron scattering [63].…”

Section: Vector Dominance Model Fitsmentioning

confidence: 99%

Proton Charge Radius from Electron Scattering

Sick

2017

Atoms

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Abstract:The rms-radius R of the proton charge distribution is a fundamental quantity needed for precision physics. This radius, traditionally determined from elastic electron-proton scattering via the slope of the Sachs form factor G e (q 2 ) extrapolated to momentum transfer q 2 = 0, shows a large scatter. We discuss the approaches used to analyze the e-p data, partly redo these analyses in order to identify the sources of the discrepancies and explore alternative parameterizations. The problem lies in the model dependence of the parameterized G(q) needed for the extrapolation. This shape of G(q < q min ) is closely related to the shape of the charge density ρ(r) at large radii r, a quantity that is ignored in most analyses. When using our physics knowledge about this large-r density together with the information contained in the high-q data, the model dependence of the extrapolation is reduced, and different parameterizations of the pre-2010 data yield a consistent value for R = 0.887 ± 0.012 fm. This value disagrees with the more precise value 0.8409 ± 0.0004 fm determined from the Lamb shift in muonic hydrogen.

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Section: Vector Dominance Model Fitsmentioning

confidence: 99%

Proton Charge Radius from Electron Scattering

Sick

2017

Atoms

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“…We select Q 0 = 0.15 GeV in the following and estimate the error due to this choice as a difference between our results with Q 0 = 0.15 GeV and Q 0 = 0.2 GeV. We account for the Q 4 and Q 6 terms, exploiting the chiral perturbation theory expansion coefficients [53], and we add the uncertainty of the higherorder contributions as the difference between the calculation with higher-order terms in expansion and result based on Eq. (8), which contributes 13 ppm to the Zemach correction.…”

Section: Zemach and Recoil Correction Evaluationmentioning

confidence: 99%

Two-photon exchange correction to the hyperfine splitting in muonic hydrogen

Tomalak¹

2017

Eur. Phys. J. C

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We reevaluate the Zemach, recoil and polarizability corrections to the hyperfine splitting in muonic hydrogen expressing them through the low-energy proton structure constants and obtain the precise values of the Zemach radius and two-photon exchange (TPE) contribution. The uncertainty of TPE correction to S energy levels in muonic hydrogen of 105 ppm exceeds the ppm accuracy level of the forthcoming 1S hyperfine splitting measurements at PSI, J-PARC and RIKEN-RAL.

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“…[18,[50][51][52][53][54][55][56][57][58]). Several analyses argue for a small radius obtained by retaining only the low-Q 2 scattering data.…”

Section: Interplay With Other Constraintsmentioning

confidence: 99%

“…12 Reference [57] argues to supplement the low-Q 2 scattering data with constraints on curvature and higher-order derivatives of the form factor from chiral perturbation theory. 13 See for example, Ref.…”

Section: Muonic Hydrogen: Theory Issuesmentioning

confidence: 99%

Review of experimental and theoretical status of the proton radius puzzle

Hill

2017

EPJ Web Conf.

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Abstract. The discrepancy between the measured Lamb shift in muonic hydrogen and expectations from electron-proton scattering and regular hydrogen spectroscopy has become known as the proton radius puzzle, whose most "mundane" resolution requires a > 5σ shift in the value of the fundamental Rydberg constant. I briefly review the status of spectroscopic and scattering measurements, recent theoretical developments, and implications for fundamental physics.

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Proton radius from electron-proton scattering and chiral perturbation theory

Cited by 48 publications

References 74 publications

Proton Charge Radius from Electron Scattering

Proton Charge Radius from Electron Scattering

Two-photon exchange correction to the hyperfine splitting in muonic hydrogen

Review of experimental and theoretical status of the proton radius puzzle

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