Nucleon electromagnetic radii and magnetic moments are extracted from lattice QCD in the continuum limit directly at the physical pion mass, with disconnected contributions included.
The RMS Charge Radius of the Proton and Zemach Moments
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abstract
On the basis of recent precise measurements of the electric form factor of the proton, the Zemach moments, needed as input parameters for the determination of the proton rms radius from the measurement of the Lamb shift in muonic hydrogen, are calculated. It turns out that the new moments give an uncertainty as large as the presently stated error of the recent Lamb shift measurement of Pohl et al.. De Rujula's idea of a large Zemach moment in order to reconcile the five standard deviation discrepancy between the muonic Lamb shift determination and the result of electronic experiments is shown to be in clear contradiction with experiment. Alternative explanations are touched upon.
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Proton and neutron electromagnetic form factors from lattice QCD in the continuum limit
Nucleon electromagnetic radii and magnetic moments are extracted from lattice QCD in the continuum limit directly at the physical pion mass, with disconnected contributions included.