A new tool for the lamb-shift calculation

Marco Cavicchi; Antonio Vairo

doi:10.1007/BF01580325

A new tool for the lamb-shift calculation

Marco Cavicchi, Antonio Vairo

DIBINEM, Alma Mater Studiorum, University of Bologna

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We solve the Bethe-Salpeter equation for hydrogenic bound states by choosing an appropriate interaction kernel K_c. We want to use our solution to calculate up to a higher order the hydrogen Lamb-shift, and as a first application we present up to order (α/π)(Zα)⁷ the contribution of the lowest order self-energy graph, calculated exactly. The basic formalism is a natural extension to the hydrogenic bound states of the one previously presented by R. Barbieri and E. Remiddi and used in the case of positronium.

Original language	English
Pages (from-to)	455-462
Number of pages	8
Journal	Zeitschrift für Physik C Particles and Fields
Volume	63
Issue number	3
DOIs	https://doi.org/10.1007/BF01580325
State	Published - Sep 1994
Externally published	Yes

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abstract = "We solve the Bethe-Salpeter equation for hydrogenic bound states by choosing an appropriate interaction kernel Kc. We want to use our solution to calculate up to a higher order the hydrogen Lamb-shift, and as a first application we present up to order (α/π)(Zα)7 the contribution of the lowest order self-energy graph, calculated exactly. The basic formalism is a natural extension to the hydrogenic bound states of the one previously presented by R. Barbieri and E. Remiddi and used in the case of positronium.",

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AB - We solve the Bethe-Salpeter equation for hydrogenic bound states by choosing an appropriate interaction kernel Kc. We want to use our solution to calculate up to a higher order the hydrogen Lamb-shift, and as a first application we present up to order (α/π)(Zα)7 the contribution of the lowest order self-energy graph, calculated exactly. The basic formalism is a natural extension to the hydrogenic bound states of the one previously presented by R. Barbieri and E. Remiddi and used in the case of positronium.

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A new tool for the lamb-shift calculation

Abstract

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