Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution

@article{Hagelstein2015BreakdownOT,
  title={Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution},
  author={F. Hagelstein and V. Pascalutsa},
  journal={Physical Review A},
  year={2015},
  volume={91}
}
We quantify a limitation in the usual accounting of the finite-size effects, where the leading $[(Z\alpha)^4]$ and subleading $[(Z\alpha)^5]$ contributions to the Lamb shift are given by the mean-square radius and the third Zemach moment of the charge distribution. In the presence of any non-smooth behaviour of the nuclear form factor at scales comparable to the inverse Bohr radius, the expansion of the Lamb shift in the moments breaks down. This is relevant for some of the explanations of the… Expand
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