scholarly journals Singlet and Triplet Bound State Spectra in the Four-Electron Be-Like Atomic Systems

2016 ◽  
pp. 119-138 ◽  
Author(s):  
María Belén Ruiz ◽  
Federico Latorre ◽  
Alexei M. Frolov
Keyword(s):  
Bound State ◽  
Atomic Systems

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 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.

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.

scholarly journals Bound state spectra and properties of the doublet states in three-electron atomic systems

2014 ◽  
Vol 608 ◽  
pp. 191-200 ◽  
Author(s):  
Alexei M. Frolov ◽  
María Belén Ruiz ◽  
David M. Wardlaw
Keyword(s):  
Bound State ◽  
Atomic Systems

On the use of regional wavefunctions in bound-state calculations

1972 ◽  
Vol 328 (1574) ◽  
pp. 429-444 ◽  
Keyword(s):  
Variational Principle ◽  
Boundary Conditions ◽  
Body Problem ◽  
Variational Principles ◽  
Molecular System ◽  
Bound State ◽  
Variational Calculation ◽  
Atomic Systems ◽  
The One

Consideration is given to the problem of using, in a variational calculation, wavefunctions which do not necessarily satisfy all the boundary conditions, which may have discontinuous first derivatives or have discontinuities. It is shown that variational principles can be established which do permit the use of such a class of trial functions. The one-body problem is discussed first, paying particular regard to the use of discontinuous trial functions and to the converse of the variational principle which is established in this case. The theory is then extended to the molecular system H 2 + and to the two electron atomic systems for which it is shown that the use of such general trial functions is both feasible and useful.

Bound state quantum electrodynamics with polarization sources

1975 ◽  
Vol 342 (1628) ◽  
pp. 113-129 ◽  
Keyword(s):  
Electromagnetic Fields ◽  
Quantum Electrodynamics ◽  
Relativistic Quantum ◽  
Bound State ◽  
Magnetic Interactions ◽  
Conventional Theory ◽  
Relativistic Quantum Field Theory ◽  
Atomic Systems ◽  
Radiation Theory ◽  
Classical Radiation

A manifestly gauge invariant relativistic quantum field theory of the interaction of atomic systems with electromagnetic fields is shown to be systematically obtained from conventional quantum electrodynamics. The basic ingredient is an exact decomposition of the Dirac sources J μ modified to include the binding, into polarization sources P and M . The transformation of the conventional theory is achieved by means of a generalized Power-Zienau-Woolley transformation. While J μ couple to the potentials A μ , the polarization sources are shown to couple directly to the field intensities E and B . An explicit separation between electric and magnetic interactions is thus obtained which is in close correspondence w'ith the case in the semi-classical radiation theory. The relevance of the transformed theory to problems involving intense electromagnetic fields is pointed out and discussed.

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