Radiative energy shifts induced by local potentials

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

We study a specific correction to the Bethe logarithm induced by potentials which are proportional to a Dirac-δ function in coordinate space ('local potentials'). Corrections of this type occur naturally in the calculation of various self-energy corrections to the energy of bound states. Examples include logarithmic higher-order binding corrections to the two-loop self-energy, vacuum-polarization induced corrections to the self-energy and radiative corrections induced by the finite size of the nucleus. We obtain results for excited S and P states and find that the dependence of the corrections on the principal quantum number is remarkable. For the ground state, we find a small modification as compared to previously reported results. Our results are based on mathematical techniques for the treatment of quantum electrodynamic bound states introduced discussed previously by Jentschura and Pachucki (2002 J. Phys. A: Math. Gen. 35 1927).

Original languageEnglish
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number15
DOIs
Publication statusPublished - Apr 18 2003

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Electrodynamics
Ground state
Vacuum
Polarization
shift
Energy
Bound States
energy
Logarithm
Paul Adrien Maurice Dirac
Nucleus
Ground State
Logarithmic
Directly proportional
Higher Order
quantum electrodynamics
logarithms
quantum numbers
vacuum
nuclei

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Radiative energy shifts induced by local potentials. / Jentschura, U.

In: Journal of Physics A: Mathematical and General, Vol. 36, No. 15, 18.04.2003.

Research output: Contribution to journalArticle

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