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Finite nuclear size effect on Lamb shift of s1/2, p1/2, and p3/2 atomic states

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arxiv physics/0309018 v1 pith:5BC22CFM submitted 2003-09-02 physics.atom-ph hep-phnucl-th

Finite nuclear size effect on Lamb shift of s1/2, p1/2, and p3/2 atomic states

classification physics.atom-ph hep-phnucl-th
keywords nuclearcorrectionsfinitesizeanalyticatomiccorrectionderived
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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\alpha-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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