The RMS charge radius of the proton and Zemach moments

Distler, M. O.; Bernauer, J. C.; Walcher, Thomas

doi:10.1016/j.physletb.2010.12.067

Cited by 110 publications

(122 citation statements)

References 28 publications

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“…In what follows we specialize for simplicity to parity-preserving interactions and spinless compact central objects, and so strictly speaking the interactions we find suffice in themselves to describe finite-size effects in the He + ion or muonic states in even-even nuclei [24,[26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45]. The effects we find also apply to nuclei with spin (such as hydrogen) once the effective theory of the first-quantized source is supplemented by the extra interactions that a nuclear spin allows.…”

Section: Jhep09(2017)007mentioning

confidence: 99%

Point-particle effective field theory III: relativistic fermions and the Dirac equation

Burgess¹,

Hayman²,

Rummel³

et al. 2017

J. High Energ. Phys.

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We formulate point-particle effective field theory (PPEFT) for relativistic spinhalf fermions interacting with a massive, charged finite-sized source using a first-quantized effective field theory for the heavy compact object and a second-quantized language for the lighter fermion with which it interacts. This description shows how to determine the near-source boundary condition for the Dirac field in terms of the relevant physical properties of the source, and reduces to the standard choices in the limit of a point source. Using a first-quantized effective description is appropriate when the compact object is sufficiently heavy, and is simpler than (though equivalent to) the effective theory that treats the compact source in a second-quantized way. As an application we use the PPEFT to parameterize the leading energy shift for the bound energy levels due to finite-sized source effects in a model-independent way, allowing these effects to be fit in precision measurements. Besides capturing finite-source-size effects, the PPEFT treatment also efficiently captures how other short-distance source interactions can shift bound-state energy levels, such as due to vacuum polarization (through the Uehling potential) or strong interactions for Coulomb bound states of hadrons, or any hypothetical new short-range forces sourced by nuclei.

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Section: Jhep09(2017)007mentioning

confidence: 99%

Point-particle effective field theory III: relativistic fermions and the Dirac equation

Burgess¹,

Hayman²,

Rummel³

et al. 2017

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…The discussion has focused on the one hand on recalculation of the theoretical input to the extraction of r p E from muonic hydrogen and on modifications of the theoretical calculation such as proton structure effects, e.g. [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,…”

Section: Introductionmentioning

confidence: 99%

Model independent extraction of the proton magnetic radius from electron scattering

2014

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We combine constraints from analyticity with experimental electron-proton scattering data to determine the proton magnetic radius without model-dependent assumptions on the shape of the form factor. We also study the impact of including electron-neutron scattering data, and ππ → NN data. Using representative datasets we find for a cut of Q 2 ≤ 0.5 GeV 2 , r p M = 0.91 +0.03 −0.06 ± 0.02 fm using just proton scattering data; r p M = 0.87 +0.04 −0.05 ± 0.01 fm adding neutron data; and r p M = 0.87 +0.02 −0.02 fm adding ππ data. We also extract the neutron magnetic radius from these data sets obtaining r n M = 0.89 +0.03 −0.03 fm from the combined proton, neutron, and ππ data.

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“…One would expect the chiral prediction to give the dominant contribution of r n for n ≥ 3 and the leading chiral log for n = 2. Nevertheless we observe large differences (bigger than the errors) with different determinations fitting experimental data to different functions [19][20][21]. In this respect, the chiral result could help shaping the appropriate fit function and thus, resolving the differences between the fitted results as well as assessing their uncertainties.…”

Section: Lamb Shift and Extraction Of The Proton Radiusmentioning

confidence: 81%

The muonic hydrogen Lamb shift and the proton radius

Peset

2015

Nuclear and Particle Physics Proceedings

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We obtain a model independent expression for the muonic hydrogen Lamb shift up to O(m µ α 6 , m µ α 5 m 2 µ m 2 ρ ). The hadronic effects are controlled by the chiral theory, which allows for their model independent determination. We give their complete expression including the pion and Delta particles. Out of this analysis and the experimental measurement of the muonic hydrogen Lamb shift we determine the electromagnetic proton radius: r p =0.8412(15) fm. This number is at 6.8σ variance with respect to the CODATA value. The parametric control of the uncertainties allows us to obtain a model independent determination of the error, which is dominated by hadronic effects.

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The RMS charge radius of the proton and Zemach moments

Cited by 110 publications

References 28 publications

Point-particle effective field theory III: relativistic fermions and the Dirac equation

Point-particle effective field theory III: relativistic fermions and the Dirac equation

Model independent extraction of the proton magnetic radius from electron scattering

The muonic hydrogen Lamb shift and the proton radius

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