Radiative Corrections to the Nuclear Finite Size Effect

3 Radiative Corrections to the Nuclear Finite Size Effect 

Radiative corrections to the leading nuclear finite size contribution were considered in Subsect. 6.4.1. Respective results may be directly used for muonic hydrogen, and numerically we obtain 

This contribution is dominated by the diagrams with radiative photon insertions in the muon line. As usual in muonic hydrogen a much larger contribution is generated by the electron loop insertions in the external Coulomb 

Electron-loop radiative corrections to the leading nuclear finite size contribution in light muonic atoms were considered in [60, 20]. Two diagrams in Fig. 7.15 give contributions of order a Za) m r ). The analytic expression for the first diagram up to a numerical factor coincides with the expression for the mixed electron and muon loops in (7.48), and we obtain 

Total radiative correction to the nuclear finite size effect has the form [20, 21] 

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