Muonic Hydrogen and the Third Zemach Moment

Abstract

We determine the third Zemach moment of hydrogen (<r3>(2)) using only the world data on elastic electron-proton scattering. This moment dominates the O (Z alpha)5 hadronic correction to the Lamb shift in muonic atoms. The resulting moment, <r3 >(2) = 2.71(13) fm3, is somewhat larger than previously inferred values based on models. The contribution of that moment to the muonic hydrogen 2S level is -0.0247(12) meV.

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