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Approximate recalculation of the alpha(Z alpha)(5) contribution to the self-energy effect on hydrogenic states with a multipole expansion

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10132404" target="_blank" >RIV/00216208:11320/13:10132404 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Approximate recalculation of the alpha(Z alpha)(5) contribution to the self-energy effect on hydrogenic states with a multipole expansion

  • Original language description

    A contribution of virtual electron states with large wave numbers to the self-energy of an electron bound in the weak Coulomb field is analyzed in the context of the evaluation method suggested in the previous paper. The contribution is of the order alpha(Z alpha)(5). The same value for this contribution is found here as the one found in the previous calculations using different evaluation methods. When we add the remaining terms of the order alpha(Z alpha)(5) to the calculation of the self-energy effect in hydrogen-like ions presented in the previous paper we find a very good agreement with numerical evaluations. The relative difference between present and numerical evaluations ranges from 2 parts in 10(6) for Z = 1 up to 6 parts in 10(4) for Z = 10.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GAP205%2F10%2F0228" target="_blank" >GAP205/10/0228: Structure and Dynaics of Bioinorganic Complexes</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Annals of Physics

  • ISSN

    0003-4916

  • e-ISSN

  • Volume of the periodical

    328

  • Issue of the periodical within the volume

    January 2013

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    19

  • Pages from-to

    139-157

  • UT code for WoS article

    000313767000006

  • EID of the result in the Scopus database