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Fourth-order radiative corrections to electron-photon vertex and the Lamb-shift value

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Il Nuovo Cimento A (1965-1970)

Summary

The slope of the charge form factor of the electron is analytically evaluated in fourth-order perturbation theory of QED and found to bem 2 F′1(0)=(α/π)2[−4819/5184−(49/72)ζ(2)+3ζ(2) log 2−(3/4)ζ(3)]==(α/π)2·0.470. Correspondingly the theoretical Lamb-shift value for the hydrogen atom is Δν(2S 1/2−2P 1/2)=(1057.90±0.09) MHz, in agreement with experiments.

Riassunto

La pendenza del fattore di forma di carica dell’elettrone è calcolata analiticamente al quart’ordine nella teoria perturbativa dell’elettrodinamica quantica, e risulta esserem 2 F′1(0)=(α/π)2[−4819/5184−(49/72)ζ(2)+3ζ(2) log 2−(3/4)ζ(3)]=(α/π)2·0.470. Corrispondentemente il valore teorico dello spostamento di Lamb per l’atomo di idrogeno è Δν(2S 1/2−2P 1/2)=(1057.90±0.09) MHz, in accordo con gli esperimenti.

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References

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Author information

Authors and Affiliations

  1. Scuola Normale Superiore, Pisa

    R. Barbieri

  2. Departamento de Física Facultad de Ciencias, Ingenieria y Arquitectura, Universitad, Rosario

    J. A. Mignaco

  3. Istituto di Fisica dell’Undiverstà, Bologna

    E. Remiddi

  4. Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, Italy

    E. Remiddi

Authors
  1. R. Barbieri
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  2. J. A. Mignaco
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  3. E. Remiddi
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Barbieri, R., Mignaco, J.A. & Remiddi, E. Fourth-order radiative corrections to electron-photon vertex and the Lamb-shift value. Nuov Cim A 6, 21–28 (1971). https://doi.org/10.1007/BF02723430

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  • DOI: https://doi.org/10.1007/BF02723430

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