Radiative Corrections to Nuclear Size and Recoil Effects

This tiny correction is too small to be of any phenomenological interest for hydrogen. 

The logarithmic nuclear size correction of order Za) EF may simply be obtained from the Zemach correction if one takes into account the Dirac correction to the Schrodinger-Coulomb wave function in (3.65) [7] 

2 Radiative Corrections to Nuclear Size and Recoil Effects 

The contribution of the polarization operator is logarithmically enhanced due to the logarithmic asymptotics of the polarization operator. This logarithmically enhanced contribution of the polarization operator is equal to the doubled product of the Zemach correction and the leading term in the polarization operator expansion (an extra factor two is necessary to take into account two ways to insert the polarization operator in the external photon legs in Fig. 11.1 and in Fig. 11.2) 

Calculation of the nonlogarithmic part of the polarization operator insertion requires more detailed information on the proton form factors, and using the dipole parametrization one obtains [7] 

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