An α2(Zα)5m correction to the Lamb shift from the radiative electron factor and Coulomb line polarization

Michael I. Eides; Howard Grotch

doi:10.1016/0370-2693(93)90733-X

An α²(Zα)⁵m correction to the Lamb shift from the radiative electron factor and Coulomb line polarization

Michael I. Eides
, Howard Grotch

Producción científica: Article › revisión exhaustiva

37 Citas (Scopus)

Resumen

A radiative correction of order α²(Zα)⁵m to the Lamb shift connected with a polarization insertion in one of the two external Coulomb lines is obtained. This correction arises from a gauge invariant set of diagrams which contain, besides the polarization insertion in the Coulomb leg, all one-loop radiative photon insertions in the electron line with two external Coulomb lines. A new contribution to the Lamb shift in an arbitrary hydrogen-like ion is equal to 0.611 [ α²(Zα)⁵ πn³]m for any S-level with the principal quantum number n. For hydrogen itself we obtain a correction 3.31 kHz for the 2S state and 26.5 kHz for the 1S state. The contribution for the 2S state is larger than the accuracy of contemporary experiments while the contribution for the 1S state is comparable with the experimental error.

Idioma original	English
Páginas (desde-hasta)	127-130
Número de páginas	4
Publicación	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volumen	301
N.º	1
DOI	https://doi.org/10.1016/0370-2693(93)90733-X
Estado	Published - feb 25 1993

Nota bibliográfica

Funding Information:
pleasure helpful discussions with S.G. Karshenboim and V.A. Shelyuto on the asymptotic behavior of the electron factor. He is deeply grateful to the Physics Department of Penn State University for kind hospitality. This work was supported by the National Science Foundation under grant number PHY-9120102.

Financiación

pleasure helpful discussions with S.G. Karshenboim and V.A. Shelyuto on the asymptotic behavior of the electron factor. He is deeply grateful to the Physics Department of Penn State University for kind hospitality. This work was supported by the National Science Foundation under grant number PHY-9120102.

Financiadores	Número del financiador
National Science Foundation (NSF)	PHY-9120102

ASJC Scopus subject areas

Nuclear and High Energy Physics

Acceder al documento

10.1016/0370-2693(93)90733-X

Otros archivos y enlaces

Link to publication in Scopus

Citar esto

@article{cb8c4de0a0a745178daf09a8cbd09e29,

title = "An α2(Zα)5m correction to the Lamb shift from the radiative electron factor and Coulomb line polarization",

abstract = "A radiative correction of order α2(Zα)5m to the Lamb shift connected with a polarization insertion in one of the two external Coulomb lines is obtained. This correction arises from a gauge invariant set of diagrams which contain, besides the polarization insertion in the Coulomb leg, all one-loop radiative photon insertions in the electron line with two external Coulomb lines. A new contribution to the Lamb shift in an arbitrary hydrogen-like ion is equal to 0.611 [ α2(Zα)5 πn3]m for any S-level with the principal quantum number n. For hydrogen itself we obtain a correction 3.31 kHz for the 2S state and 26.5 kHz for the 1S state. The contribution for the 2S state is larger than the accuracy of contemporary experiments while the contribution for the 1S state is comparable with the experimental error.",

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

note = "Funding Information: pleasure helpful discussions with S.G. Karshenboim and V.A. Shelyuto on the asymptotic behavior of the electron factor. He is deeply grateful to the Physics Department of Penn State University for kind hospitality. This work was supported by the National Science Foundation under grant number PHY-9120102.",

year = "1993",

month = feb,

day = "25",

doi = "10.1016/0370-2693(93)90733-X",

language = "English",

volume = "301",

pages = "127--130",

number = "1",

}

TY - JOUR

T1 - An α2(Zα)5m correction to the Lamb shift from the radiative electron factor and Coulomb line polarization

AU - Eides, Michael I.

AU - Grotch, Howard

N1 - Funding Information: pleasure helpful discussions with S.G. Karshenboim and V.A. Shelyuto on the asymptotic behavior of the electron factor. He is deeply grateful to the Physics Department of Penn State University for kind hospitality. This work was supported by the National Science Foundation under grant number PHY-9120102.

PY - 1993/2/25

Y1 - 1993/2/25

N2 - A radiative correction of order α2(Zα)5m to the Lamb shift connected with a polarization insertion in one of the two external Coulomb lines is obtained. This correction arises from a gauge invariant set of diagrams which contain, besides the polarization insertion in the Coulomb leg, all one-loop radiative photon insertions in the electron line with two external Coulomb lines. A new contribution to the Lamb shift in an arbitrary hydrogen-like ion is equal to 0.611 [ α2(Zα)5 πn3]m for any S-level with the principal quantum number n. For hydrogen itself we obtain a correction 3.31 kHz for the 2S state and 26.5 kHz for the 1S state. The contribution for the 2S state is larger than the accuracy of contemporary experiments while the contribution for the 1S state is comparable with the experimental error.

AB - A radiative correction of order α2(Zα)5m to the Lamb shift connected with a polarization insertion in one of the two external Coulomb lines is obtained. This correction arises from a gauge invariant set of diagrams which contain, besides the polarization insertion in the Coulomb leg, all one-loop radiative photon insertions in the electron line with two external Coulomb lines. A new contribution to the Lamb shift in an arbitrary hydrogen-like ion is equal to 0.611 [ α2(Zα)5 πn3]m for any S-level with the principal quantum number n. For hydrogen itself we obtain a correction 3.31 kHz for the 2S state and 26.5 kHz for the 1S state. The contribution for the 2S state is larger than the accuracy of contemporary experiments while the contribution for the 1S state is comparable with the experimental error.

UR - https://www.scopus.com/pages/publications/0000448036

UR - https://www.scopus.com/pages/publications/0000448036#tab=citedBy

U2 - 10.1016/0370-2693(93)90733-X

DO - 10.1016/0370-2693(93)90733-X

M3 - Article

AN - SCOPUS:0000448036

SN - 0370-2693

VL - 301

SP - 127

EP - 130

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 - 1

ER -