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The standard definition of the electromagnetic radius of a charged particle(in particular the proton) is ambiguous once electromagnetic corrections areconsidered. We argue that a natural definition can be given within an effectivefield theory framework in terms of a matching coefficient. The definition ofthe neutron radius is also discussed. We elaborate on the effective fieldtheory relevant for the hydrogen and muonic hydrogen, specially for the latter.We compute the hadronic corrections to the lamb shift (for the polarizabilityeffects only with logarithmic accuracy) within heavy baryon effective theory.We find that they diverge in the inverse of the pion mass in the chiral limit.Comment: 17 pages, 4 figure

Chiral structure of the Lamb shift and the definition of the proton radius