Investigation of logarithmic contributions in the electron-to-muon mass ratio to the shift of the S energy levels in the muonium atom

2003 ◽  
Vol 66 (5) ◽  
pp. 893-901 ◽  
Author(s):  
N. A. Boikova ◽  
S. V. Kleshchevskaya ◽  
Yu. N. Tyukhtyaev ◽  
R. N. Faustov
Keyword(s):  
Energy Levels ◽  
Mass Ratio ◽  
Muonium Atom ◽  
Muon Mass

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

On the electron-muon mass ratio

1975 ◽  
Vol 88 (2) ◽  
pp. 337-348
Author(s):  
D. Dillenburg ◽  
Th.A.J. Maris
Keyword(s):  
Mass Ratio ◽  
Muon Mass

scholarly journals Higgs-Kibble Mechanism and the Electron-Muon Mass Ratio

1978 ◽  
Vol 59 (2) ◽  
pp. 571-578 ◽  
Author(s):  
K. Nishijima ◽  
H. Sato
Keyword(s):  
Mass Ratio ◽  
Muon Mass

BORN–OPPENHEIMER APPROXIMATION FOR THE BROWN–RAVENHALL EQUATION

2001 ◽  
Vol 13 (08) ◽  
pp. 921-951
Author(s):  
VANIA SORDONI
Keyword(s):  
Semiclassical Limit ◽  
Energy Levels ◽  
Mass Ratio ◽  
Nuclear Mass ◽  
Oppenheimer Approximation ◽  
Brown And Ravenhall

In this paper we study the pseudo-relativistic Hamiltonian proposed by Brown and Ravenhall in the semiclassical limit when the mass ratio h2 of electronic to nuclear mass tends to zero. We show that the relativistic contribution of the nuclei on WKB-type expansions of the first energy levels are of order o(h2), as h→0.

Unified gauge theories and the electron-muon mass ratio

1973 ◽  
Vol 61 ◽  
pp. 230-244 ◽  
Author(s):  
J. Frenkel ◽  
M.E. Ebel
Keyword(s):  
Gauge Theories ◽  
Mass Ratio ◽  
Muon Mass

New approach to the electron-muon mass ratio

1977 ◽  
Vol 15 (9) ◽  
pp. 2652-2654 ◽  
Author(s):  
S. M. Barr ◽  
A. Zee
Keyword(s):  
Mass Ratio ◽  
New Approach ◽  
Muon Mass

High-accuracy calculations in the H+2 molecular ion: towards a measurement of mp/me

2007 ◽  
Vol 85 (5) ◽  
pp. 497-507 ◽  
Author(s):  
J Ph. Karr ◽  
F Bielsa ◽  
T Valenzuela ◽  
A Douillet ◽  
L Hilico ◽  
...  
Keyword(s):  
Vibrational Spectroscopy ◽  
Quantum Cascade Laser ◽  
Energy Levels ◽  
High Accuracy ◽  
Electron Mass ◽  
Mass Ratio ◽  
Molecular Ion ◽  
Quantum Cascade ◽  
Two Photon

We report on our recent advances in the calculation of the energy levels of the H+2 molecular ion, including relativistic and radiative corrections. These theoretical efforts are linked to the prospect of obtaining a new determination of the proton to electron mass ratio mp/me through precise vibrational spectroscopy of H+2. We describe the setup of our experiment, aiming at a measurement of the L = 2, υ = 0 → L = 2, υ = 1 two-photon transition at 9.166 μm using a phase-locked quantum cascade laser as excitation source.PACS Nos.: 31.15.Pf, 31.30.Jv, 32.10.Hq

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