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

Effect of Potential Correction on the Ground States of P and S+ Impurities in Silicon: Application of the Cavity Model

1965 ◽  
Vol 20 (11) ◽  
pp. 1476-1490
Author(s):  
A. M. K. Müller
Keyword(s):  
Effective Mass ◽  
Free Electron ◽  
Energy Levels ◽  
Correction Method ◽  
Host Lattice ◽  
Electron Mass ◽  
Cavity Model ◽  
Cavity Radius ◽  
Donor Nucleus ◽  
Starting Point

The discrepancies between the observed and the calculated ground state energies of P and S+ impurities in silicon are discussed on the basis of a cavity model which roughly accounts for the spatial dependence of the inverse dielectric function in the vicinity of the impurity. Applying simple effective mass theory (without reference to the KOHN—LUTTINGER semi-empirical correction method), it is shown that the model yields energy levels (and also the wave function at the P donor nucleus) in fair agreement with the experiments, if the effective cavity radius r0 is assumed to resemble the WIGNER-SEITZ radius rs rather than the nearest neighbour distance rd of the Si host lattice.The result depends critically on the assumption that the effective mass m* related to the bottom of the conduction band, may be used even for levels as deep as S+. Application of the cavity model in connection with the free electron mass m0 , gives rise to an almost zero cavity radius which appears to be inconsistent with various estimates yielding rs ≲ r0 ≲ rd. It is concluded that the effective mass theory rather than a free electron mass equation will be the appropriate starting point for a more refined treatment of the S+ spectrum and that of related defects.The paper contains a discussion of various relevant aspects of the problem as well as a review of some different attempts to account for the discrepancies.

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

Some analytic results on the Uehling correction to the g-factor of a bound electron (muon)

2001 ◽  
Vol 79 (1) ◽  
pp. 81-86 ◽  
Author(s):  
S G Karshenboim ◽  
V G Ivanov ◽  
V M Shabaev
Keyword(s):  
Ground State ◽  
Vacuum Polarization ◽  
Nuclear Charge ◽  
Numerical Data ◽  
Analytic Form ◽  
G Factor ◽  
Muonic Atoms ◽  
Hydrogenlike Atom ◽  
Closed Analytic Form ◽  
Bound Electron

We calculate vacuum-polarization corrections to the g-factor of a bound electron in the ground state of a hydrogenlike atom. The result is found in a closed analytic form for an arbitrary value of the nuclear charge Z. It is valid for both electronic and muonic atoms. Some useful asymptotics are also presented. The result for the electronic atoms is consistent with published numerical data. PACS Nos.: 31.30Jv

scholarly journals New Limit on Space-Time Variations in the Proton-to-Electron Mass Ratio from Analysis of Quasar J110325-264515 Spectra

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 344
Author(s):  
T. D. Le
Keyword(s):  
Fine Structure ◽  
Structure Constant ◽  
Space Time ◽  
Fine Structure Constant ◽  
Electron Mass ◽  
Mass Ratio ◽  
Quasar Spectra ◽  
Time Variations ◽  
Using Data ◽  
The Universe

Astrophysical tests of current values for dimensionless constants known on Earth, such as the fine-structure constant, α , and proton-to-electron mass ratio, μ = m p / m e , are communicated using data from high-resolution quasar spectra in different regions or epochs of the universe. The symmetry wavelengths of [Fe II] lines from redshifted quasar spectra of J110325-264515 and their corresponding values in the laboratory were combined to find a new limit on space-time variations in the proton-to-electron mass ratio, ∆ μ / μ = ( 0.096 ± 0.182 ) × 10 − 7 . The results show how the indicated astrophysical observations can further improve the accuracy and space-time variations of physics constants.

scholarly journals Structure factors for generalized grey Browinian motion

2019 ◽  
Vol 22 (2) ◽  
pp. 396-411
Author(s):  
José L. da Silva ◽  
Ludwig Streit
Keyword(s):  
Gaussian Processes ◽  
Form Factors ◽  
Analytic Form ◽  
Debye Function ◽  
Asymptotic Decay ◽  
Structure Factors ◽  
Closed Analytic Form ◽  
Non Gaussian

Abstract In this paper we investigate the form factors of paths for a class of non Gaussian processes. These processes are characterized in terms of the Mittag-Leffler function. In particular, we obtain a closed analytic form for the form factors, the Debye function, and can study their asymptotic decay.

scholarly journals On a possible variation of the proton-to-electron mass ratio: H2 spectra in the line of sight of high-redshift quasars and in the laboratory

2007 ◽  
Vol 241 (2) ◽  
pp. 155-179 ◽  
Author(s):  
W. Ubachs ◽  
R. Buning ◽  
K.S.E. Eikema ◽  
E. Reinhold
Keyword(s):  
High Redshift ◽  
Line Of Sight ◽  
Electron Mass ◽  
Mass Ratio

scholarly journals SECOND-ORDER CORRECTIONS TO QED COUPLING AT LOW TEMPERATURE

2008 ◽  
Vol 23 (29) ◽  
pp. 4709-4719 ◽  
Author(s):  
SAMINA S. MASOOD ◽  
MAHNAZ HASEEB
Keyword(s):  
Low Temperatures ◽  
Vacuum Polarization ◽  
Second Order ◽  
Electromagnetic Properties ◽  
Electron Mass ◽  
Polarization Tensor ◽  
Coupling Constant ◽  
Electric Permittivity ◽  
Thermal Medium ◽  
Vacuum Polarization Tensor

We calculate the second-order corrections to vacuum polarization tensor of photons at low temperatures, i.e. T ≪ 1010 K (T ≪ me). The thermal contributions to the QED coupling constant are evaluated at temperatures below the electron mass that is T < me. Renormalization of QED at these temperatures has explicitly been checked. The electromagnetic properties of such a thermal medium are modified. Parameters like electric permittivity and magnetic permeability of such a medium are no more constant and become functions of temperature.

scholarly journals Accurate prediction of H3O+and D3O+sensitivity coefficients to probe a variable proton-to-electron mass ratio

2015 ◽  
Vol 454 (3) ◽  
pp. 2292-2298 ◽  
Author(s):  
A. Owens ◽  
S. N. Yurchenko ◽  
O. L. Polyansky ◽  
R. I. Ovsyannikov ◽  
W. Thiel ◽  
...  
Keyword(s):  
Accurate Prediction ◽  
Electron Mass ◽  
Mass Ratio ◽  
Sensitivity Coefficients

Muon-electron mass ratio and CP violation as a quantum effect

1979 ◽  
Vol 148 (3-4) ◽  
pp. 433-444 ◽  
Author(s):  
Hikaru Sato
Keyword(s):  
Cp Violation ◽  
Quantum Effect ◽  
Electron Mass ◽  
Mass Ratio
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