New correction to Lamb shift induced by one-loop polarization insertions in the radiative electron factor

Michael I. Eides; Howard Grotch

doi:10.1016/0370-2693(93)91303-5

New correction to Lamb shift induced by one-loop polarization insertions in the radiative electron factor

Michael I. Eides, Howard Grotch

Physics And Astronomy

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31 Scopus citations

Abstract

A radiative correction of order α²(Zα)⁵m to the Lamb shift induced by polarization insertions in the radiative electron factor is obtained. This correction arises from a gauge invariant set of diagrams which contain all one-loop polarization insertions in the radiative photon attached by both ends to the electron line with two external Coulomb lines. A new contribution to the Lamb shift in an arbitrary hydrogen-like ion is equal to -0.073(α²(Zα)⁵/(πn³))m for any S-level with the principal quantum number n. For hydrogen itself we obtain a correction -0.39 kHz for the 2S state.

Original language	English
Pages (from-to)	389-393
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	308
Issue number	3-4
DOIs	https://doi.org/10.1016/0370-2693(93)91303-5
State	Published - Jul 1 1993

Bibliographical note

Funding Information:
One of the authors( M.E.) is deeplyg ratefutlo the PhysicsD epartmenotf Penn StateU niversityfo r their kind hospitalityT. his work was initiatedw hile he was at Penn State.T his researchw as supportedb y the National ScienceF oundationu ndergrant numberP HY-9120102.

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(93)91303-5

Cite this

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title = "New correction to Lamb shift induced by one-loop polarization insertions in the radiative electron factor",

abstract = "A radiative correction of order α2(Zα)5m to the Lamb shift induced by polarization insertions in the radiative electron factor is obtained. This correction arises from a gauge invariant set of diagrams which contain all one-loop polarization insertions in the radiative photon attached by both ends to the electron line with two external Coulomb lines. A new contribution to the Lamb shift in an arbitrary hydrogen-like ion is equal to -0.073(α2(Zα)5/(πn3))m for any S-level with the principal quantum number n. For hydrogen itself we obtain a correction -0.39 kHz for the 2S state.",

author = "Eides, {Michael I.} and Howard Grotch",

note = "Funding Information: One of the authors( M.E.) is deeplyg ratefutlo the PhysicsD epartmenotf Penn StateU niversityfo r their kind hospitalityT. his work was initiatedw hile he was at Penn State.T his researchw as supportedb y the National ScienceF oundationu ndergrant numberP HY-9120102.",

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T1 - New correction to Lamb shift induced by one-loop polarization insertions in the radiative electron factor

AU - Eides, Michael I.

AU - Grotch, Howard

N1 - Funding Information: One of the authors( M.E.) is deeplyg ratefutlo the PhysicsD epartmenotf Penn StateU niversityfo r their kind hospitalityT. his work was initiatedw hile he was at Penn State.T his researchw as supportedb y the National ScienceF oundationu ndergrant numberP HY-9120102.

PY - 1993/7/1

Y1 - 1993/7/1

N2 - A radiative correction of order α2(Zα)5m to the Lamb shift induced by polarization insertions in the radiative electron factor is obtained. This correction arises from a gauge invariant set of diagrams which contain all one-loop polarization insertions in the radiative photon attached by both ends to the electron line with two external Coulomb lines. A new contribution to the Lamb shift in an arbitrary hydrogen-like ion is equal to -0.073(α2(Zα)5/(πn3))m for any S-level with the principal quantum number n. For hydrogen itself we obtain a correction -0.39 kHz for the 2S state.

AB - A radiative correction of order α2(Zα)5m to the Lamb shift induced by polarization insertions in the radiative electron factor is obtained. This correction arises from a gauge invariant set of diagrams which contain all one-loop polarization insertions in the radiative photon attached by both ends to the electron line with two external Coulomb lines. A new contribution to the Lamb shift in an arbitrary hydrogen-like ion is equal to -0.073(α2(Zα)5/(πn3))m for any S-level with the principal quantum number n. For hydrogen itself we obtain a correction -0.39 kHz for the 2S state.

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -

New correction to Lamb shift induced by one-loop polarization insertions in the radiative electron factor

Abstract

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