Radiative correction to the electron charge density in the hydrogen atom

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Abstract
The radiative correction to the electron charge-density distribution δρ(r) in the hydrogen atom due to the self-interaction and vacuum polarization is calculated in the leading order of perturbation theory. For large distances [r∼1/(mα)] this correction is small, whereas for small r∼1/m it is comparable to the relativistic corrections coming from the Dirac wave function.