Muonic vacuum polarization contribution to the energy levels of atomic hydrogen

1995 ◽  
Vol 28 (4) ◽  
pp. L77-L79 ◽  
Author(s):  
S G Karshenboim
Keyword(s):  
Atomic Hydrogen ◽  
Vacuum Polarization ◽  
Energy Levels ◽  
Polarization Contribution

scholarly journals Towards extracting the timelike pion form factor on CLS twoflavour ensembles

2018 ◽  
Vol 175 ◽  
pp. 05027 ◽  
Author(s):  
Felix Erben ◽  
Jeremy Green ◽  
Daniel Mohler ◽  
Hartmut Wittig
Keyword(s):  
Form Factor ◽  
Vacuum Polarization ◽  
Energy Levels ◽  
Pion Form Factor ◽  
Ongoing Study ◽  
Moving Frames ◽  
Centre Of Mass ◽  
Polarization Contribution ◽  
Mass Frame ◽  
Wilson Fermions

Results are presented from an ongoing study of the ρ resonance. The focus is on CLS 2-flavour ensembles generated using O(a) improved Wilson fermions with pion masses ranging from 265 to 437 MeV. The energy levels are extracted by solving the GEVP of correlator matrices, created with the distillation approach involving ρ and ππ interpolators. The study is done in the centre-of-mass frame and several moving frames. One aim of this work is to extract the timelike pion form factor after applying the Lüscher formalism. We therefore plan to integrate this study with the existing Mainz programme for the calculation of the hadronic vacuum polarization contribution to the muon g – 2.

scholarly journals The Uehling correction to the energy levels in a pionic atom

2006 ◽  
Vol 84 (2) ◽  
pp. 107-113 ◽  
Author(s):  
S G Karshenboim ◽  
E Yu. Korzinin ◽  
V G Ivanov
Keyword(s):  
Free Electron ◽  
Vacuum Polarization ◽  
Energy Levels ◽  
Analytic Form ◽  
Electron Mass ◽  
Mass Ratio ◽  
Pionic Atom ◽  
Closed Analytic Form

We consider a correction to energy levels in a pionic atom induced by the Uehling potential, i.e., by a free electron vacuum-polarization loop. The calculation is performed for circular states (l = n–1). The result is obtained in a closed analytic form as a function of Zα and the pion-to-electron mass ratio. Certain asymptotics of the result are also presented.PACS Nos.: 12.20.Ds, 36.10.Gv

scholarly journals Self-energy shift of the energy levels of atomic hydrogen in photonic crystal medium

2016 ◽  
Vol 714 ◽  
pp. 012009
Author(s):  
R Kh Gainutdinov ◽  
M A Khamadeev ◽  
O V Steryakov ◽  
K A Ziyatdinova ◽  
M Kh Salakhov
Keyword(s):  
Photonic Crystal ◽  
Atomic Hydrogen ◽  
Energy Levels ◽  
Energy Shift ◽  
Self Energy ◽  
Crystal Medium

scholarly journals The hadronic vacuum polarization contribution to $(g-2)_\mu$ from $2+1$ flavours of O($a$) improved Wilson quarks

2019 ◽  
Author(s):  
Hartmut Wittig ◽  
Antoine Gerardin ◽  
Tim Harris ◽  
Georg von Hippel ◽  
Ben Hörz, ◽  
...  
Keyword(s):  
Vacuum Polarization ◽  
Polarization Contribution

Vacuum polarization in muonic and exotic atoms: the Lamb shift at medium Z and high n

2007 ◽  
Vol 85 (5) ◽  
pp. 551-561 ◽  
Author(s):  
E Yu. Korzinin ◽  
V G Ivanov ◽  
S G Karshenboim
Keyword(s):  
Quantum Number ◽  
Lamb Shift ◽  
Vacuum Polarization ◽  
Principal Quantum Number ◽  
Energy Levels ◽  
Exotic Atoms ◽  
Atomic States

We present new results on various asymptotics for the Uehling contribution to the energy levels in atomic states in hydrogen-like atoms that have a principal quantum number n with a high value. The results may be applied to conventional atoms (with an orbiting electron) as well as to muonic, pionic, antiprotonic, and other exotic atoms.PACS Nos.: 36.10.Gv, 31.30.Jv

Energy levels of atomic hydrogen

1985 ◽  
Vol 53 (11) ◽  
pp. 1038-1038
Author(s):  
T. C. Ernest Ma
Keyword(s):  
Atomic Hydrogen ◽  
Energy Levels

Vacuum-polarization screening corrections to the energy levels of lithiumlike ions

1999 ◽  
Vol 60 (1) ◽  
pp. 45-49 ◽  
Author(s):  
A. N. Artemyev ◽  
T. Beier ◽  
G. Plunien ◽  
V. M. Shabaev ◽  
G. Soff ◽  
...  
Keyword(s):  
Vacuum Polarization ◽  
Energy Levels

scholarly journals Hadronic Vacuum Polarization Contribution to from the Lattice

2012 ◽  
Vol 225-227 ◽  
pp. 269-272 ◽  
Author(s):  
X. Feng ◽  
K. Jansen ◽  
M. Petschlies ◽  
D. Renner
Keyword(s):  
Vacuum Polarization ◽  
Polarization Contribution

Theory of the energy levels and precise two-photon spectroscopy of atomic hydrogen and deuterium

1996 ◽  
Vol 29 (8) ◽  
pp. 1573-1573 ◽  
Author(s):  
K Pachucki ◽  
D Leibfried ◽  
M Weitz ◽  
A Huber ◽  
W König ◽  
...  
Keyword(s):  
Atomic Hydrogen ◽  
Energy Levels ◽  
Two Photon
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