scholarly journals Universality of leading relativistic corrections to bound state gyromagnetic ratiosThis paper was presented at the International Conference on Precision Physics of Simple Atomic Systems, held at École de Physique, les Houches, France, 30 May – 4 June, 2010.

2011 ◽  
Vol 89 (1) ◽  
pp. 117-122 ◽  
Author(s):  
Michael I. Eides ◽  
Timothy J.S. Martin
Keyword(s):  
Free Particle ◽  
Bound State ◽  
Arbitrary Spin ◽  
Atomic Systems ◽  
International Conference ◽  
Relativistic Corrections ◽  
Physical Reasons ◽  
G Factors

We discuss the leading relativistic (nonrecoil and recoil) corrections to bound state g-factors of particles with arbitrary spin. These corrections are universal for any spin and depend only on the free particle gyromagnetic ratios. We explain the physical reasons behind this universality.

Gyromagnetic factors of bound particles with arbitrary spin in quantum electrodynamics

2002 ◽  
Vol 80 (11) ◽  
pp. 1365-1372
Author(s):  
R N Faustov ◽  
A P Martynenko
Keyword(s):  
Hydrogen Atom ◽  
Magnetic Moment ◽  
Quantum Electrodynamics ◽  
Bound State ◽  
Arbitrary Spin ◽  
Radiative Corrections ◽  
Particle Spin ◽  
G Factors

A quasipotential method is formulated for calculating relativistic and radiative corrections to the magnetic moment of a two-particle bound state in the case of particles with arbitrary spin. It is shown that the g factors of bound particles contain O(α2) terms depending on the particle spin. Numerical values for the g factors of the electron in the hydrogen atom and deuterium are obtained. PACS Nos.: 31.30Jv, 12.20Ds, 32.10Dk

Advances towards a new measurement of the 1S–2S transition of positroniumThis paper was presented at the International Conference on Precision Physics of Simple Atomic Systems, held at École de Physique, les Houches, France, 30 May – 4 June, 2010.

2011 ◽  
Vol 89 (1) ◽  
pp. 29-35 ◽  
Author(s):  
P. Crivelli ◽  
C. L. Cesar ◽  
U. Gendotti
Keyword(s):  
Experimental Technique ◽  
Laser System ◽  
Bound State ◽  
Atomic Systems ◽  
International Conference ◽  
Technological Advances ◽  
Set Up ◽  
Current Accuracy

In this paper, a new experiment is presented to measure the 1S–2S transition of positronium, the bound state of an electron and a positron. The goal is to improve the current accuracy by a factor of 5 to reach a precision of the order of 0.6 ppb, to check recent QED calculations. This accuracy is challenging, but it seems well within reach in view of the technological advances that have occurred during the last two decades. We will present the details of the experimental set-up, the advances in the production of positronium, the developments of the laser system, and as well our new experimental technique for the detection of Ps in the 2S state.

Illuminating the proton radius conundrum: the μHe+ Lamb shiftThis paper was presented at the International Conference on Precision Physics of Simple Atomic Systems, held at École de Physique, les Houches, France, 30 May – 4 June, 2010.

2011 ◽  
Vol 89 (1) ◽  
pp. 47-57 ◽  
Author(s):  
A. Antognini ◽  
F. Biraben ◽  
J. M.R. Cardoso ◽  
D. S. Covita ◽  
A. Dax ◽  
...  
Keyword(s):  
Nuclear Polarization ◽  
Bound State ◽  
Atomic Systems ◽  
Charge Radii ◽  
Polarization Contribution ◽  
Proton Radius ◽  
Nuclear Rms Charge Radii ◽  
Proton Radius Puzzle ◽  
Bound State Qed

We plan to measure several 2S–2P transition frequencies in μ4He+ and μ3He+ by means of laser spectroscopy with an accuracy of 50 ppm. This will lead to a determination of the corresponding nuclear rms charge radii with a relative accuracy of 3 × 10−4, limited by the uncertainty of the nuclear polarization contribution. First, these measurements will help to solve the proton radius puzzle. Second, these very precise nuclear radii are benchmarks for ab initio few-nucleon theories and potentials. Finally when combined with an ongoing measurement of the 1S–2S transition in He+, these measurements will lead to an enhanced bound-state QED test of the 1S Lamb shift in He+.

scholarly journals Non-spherical proton shape and hydrogen hyperfine splittingThis paper was presented at the International Conference on Precision Physics of Simple Atomic Systems, held at University of Windsor, Windsor, Ontario, Canada on 21–26 July 2008.

2009 ◽  
Vol 87 (7) ◽  
pp. 773-783 ◽  
Author(s):  
A. J. Buchmann
Keyword(s):  
Charge Distribution ◽  
Hyperfine Splitting ◽  
Spherical Charge ◽  
Atomic Systems ◽  
Absolute Value ◽  
International Conference

We show that the non-spherical charge distribution of the proton manifests itself in hydrogen hyperfine splitting as an increase (in absolute value) of the proton Zemach radius and polarization contributions.

Progress in precise laser spectroscopy of antiprotonic helium atomsThis paper was presented at the International Conference on Precision Physics of Simple Atomic Systems, held at École de Physique, les Houches, France, 30 May – 4 June, 2010.

2011 ◽  
Vol 89 (1) ◽  
pp. 1-5 ◽  
Author(s):  
Masaki Hori
Keyword(s):  
Laser Spectroscopy ◽  
Optical Transition ◽  
Antiprotonic Helium ◽  
Atomic Systems ◽  
International Conference

The ASACUSA collaboration at CERN has previously measured the optical transition frequencies of antiprotonic helium to a precision of <1 part in 108 by laser spectroscopy. We describe some recent theoretical and experimental developmental work carried out by our collaboration to further improve the experimental precision.

Supermultiplets and relativistic problems: I. The free particle with arbitrary spin in a magnetic field

1997 ◽  
Vol 30 (15) ◽  
pp. 5591-5591
Author(s):  
M Moshinsky ◽  
Yu F Smirnov
Keyword(s):  
Magnetic Field ◽  
Free Particle ◽  
Arbitrary Spin

scholarly journals Relativistic corrections to bound-state energies for two-fermion systems

1984 ◽  
Vol 30 (10) ◽  
pp. 2189-2193 ◽  
Author(s):  
F. Gesztesy ◽  
H. Grosse ◽  
B. Thaller
Keyword(s):  
Bound State ◽  
Relativistic Corrections ◽  
Fermion Systems

The mechanisms of antihydrogen formationThis paper was presented at the International Conference on Precision Physics of Simple Atomic Systems, held at University of Windsor, Windsor, Ontario, Canada on 21–26 July 2008.

2009 ◽  
Vol 87 (7) ◽  
pp. 785-790
Author(s):  
E. Lodi Rizzini ◽  
L. Venturelli ◽  
N. Zurlo
Keyword(s):  
Preliminary Analysis ◽  
Radiative Capture ◽  
Penning Trap ◽  
Experimental Conditions ◽  
Recombination Mechanism ◽  
Atomic Systems ◽  
International Conference ◽  
Three Body ◽  
Body Recombination

Some years have passed since the report of the first production of cold antihydrogen by the Athena Collaboration and the Atrap Collaboration at CERN, but no clear answer has been given about the roles of the two mechanisms responsible for antihydrogen formation. A new preliminary analysis of the data acquired by the Athena Collaboration in different experimental conditions seems to suggest that three-body recombination mechanism is dominant in the first tens of seconds of the overlapping of the injected antiproton cloud with the positron plasma in the nested Penning trap, while radiative capture starts to become dominant afterwards.

Second-order relativistic corrections for the S(L=0) states in one- and two-electron atomic systems

2005 ◽  
Vol 83 (1) ◽  
pp. 1-21
Author(s):  
Alexei M Frolov ◽  
Catalin C Mitelut ◽  
Zheng Zhong
Keyword(s):  
Second Order ◽  
Electron Systems ◽  
Specific Interest ◽  
Atomic Systems ◽  
Expectation Value ◽  
Relativistic Corrections ◽  
Alternative Approach ◽  
Compensation Technique ◽  
Three Body ◽  
Regular Operators

An analytical approach is developed to compute the first- (~α2) and second-order (~α4) relativistic corrections in one- and two-electron atomic systems. The approach is based on the reduction of all operators to divergent (singular) and nondivergent (regular) parts. Then, we show that all the divergent parts from the differentmatrix elements cancel each other. The remaining expression contains only regular operators and its expectation value can be easily computed. Analysis of the S(L = 0) states in such systems is of specific interest since the corresponding operators for these states contain a large number of singularities. For one-electron systems the computed relativistic corrections coincide exactly with the appropriate result that follows from the Taylor expansion of the relativistic (i.e., Dirac) energy. We also discuss an alternative approach that allows one to cancel all singularities by using the so-called operator-compensation technique. This second approach is found to be very effective in applications of more complex systems, such as helium-like atoms and ions, H+2-like ions, and some exotic three-body systems.

scholarly journals Towards a first observation of magneto-electric directional anisotropy and linear birefringence in gasesThis paper was presented at the International Conference on Precision Physics of Simple Atomic Systems, held at École de Physique, les Houches, France, 30 May – 4 June, 2010.

2011 ◽  
Vol 89 (1) ◽  
pp. 159-164 ◽  
Author(s):  
C. Robilliard ◽  
G. Bailly
Keyword(s):  
Recent Progress ◽  
Ring Cavity ◽  
Measurement Procedure ◽  
Linear Birefringence ◽  
Atomic Systems ◽  
International Conference ◽  
Set Up ◽  
Electric Effects ◽  
High Finesse ◽  
Frequency Metrology

In this contribution to PSAS 2010, we report on recent progress on an experiment aimed at measuring small optical directional anisotropies by frequency metrology in a high-finesse ring cavity. We focus on our first experimental goal, the measurement of magneto-electric effects in gases. After a review of the expected effects in our set-up, we present the apparatus and the measurement procedure, showing that we already have the necessary sensitivity to start novel experiments.

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