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Finite-nuclear-size effect on the Lamb shift ofs1/2,p1/2,andp3/2atomic states

2003/09/02 by A. I. Milstein, O. P. Sushkov, I. S. Terekhov · 2 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Atomic and Subatomic Physics Research #hep-ph #nucl-th #physics.atom-ph

paper · pdf · doi:10.1103/physreva.69.022114

12 pages, 7 figures

arxiv created 2003/09/02 · openalex publication_date 2004/02/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider one-loop self-energy and vacuum polarization radiative corrections to the shift of atomic energy level due to finite nuclear size. Analytic expressions for vacuum polarization corrections are derived. For the self-energy of p1/2 and p3/2 states in addition to already known terms we derive next-to-leading nonlogarithmic Z\ensuremathα terms. Together with contributions obtained earlier the terms derived in the present work give explicit analytic expressions for s1/2 and p1/2 corrections which agree with results of previous numerical calculations up to Z=100 (Z is the nuclear charge number). We also show that the finite-nuclear-size radiative correction for a p3/2 state is not small compared to the similar correction for a p1/2 state at least for small Z.

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