https://doi.org/10.1140/epja/i2015-15032-1
Letter
Model-independent determination of the Lamb shift in muonic hydrogen and the proton radius
Dept. of Physics and IFAE, Universitat Autònoma de Barcelona, Bellaterra, E-08193, Barcelona, Spain
* e-mail: peset@ifae.es
Received:
23
January
2015
Revised:
26
February
2015
Accepted:
3
March
2015
Published online:
23
March
2015
We obtain a model-independent expression for the Lamb shift in muonic hydrogen. This expression includes the leading logarithmic terms, as well as the leading
hadronic effects. The latter are controlled by the chiral theory, which allows for their model-independent determination. In this paper we give the missing piece for their complete expression including the pion and Delta particles. Out of this analysis, and the experimental measurement of the Lamb shift in muonic hydrogen, we determine the electromagnetic proton radius:
fm. This number is at
variance with respect to the CODATA value. The accuracy of our result is limited by uncomputed terms of
. This parametric control of the uncertainties allows us to obtain a model-independent estimate of the error, which is dominated by hadronic effects.
© SIF, Springer-Verlag Berlin Heidelberg, 2015