scholarly journals Universal Three-Body Parameter in Heteronuclear Atomic Systems

2012 ◽  
Vol 109 (24) ◽  
Author(s):  
Yujun Wang ◽  
Jia Wang ◽  
J. P. D’Incao ◽  
Chris H. Greene
Keyword(s):  
Atomic Systems ◽  
Body Parameter ◽  
Three Body

scholarly journals Ground state for two-electron and electron-muon three-body atomic systems

2009 ◽  
pp. NA-NA ◽  
Author(s):  
K. V. Rodriguez ◽  
L. U. Ancarani ◽  
G. Gasaneo ◽  
D. M. Mitnik
Keyword(s):  
Ground State ◽  
Atomic Systems ◽  
Three Body

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 Two-body corrections to the g factors of the bound muon and nucleus in light muonic atoms

2019 ◽  
Vol 73 (10) ◽  
Author(s):  
Savely G. Karshenboim ◽  
Vladimir G. Ivanov
Keyword(s):  
Electrostatic Interaction ◽  
Coulomb Potential ◽  
Atomic System ◽  
Magnetic Moments ◽  
Master Equations ◽  
Atomic Systems ◽  
Muonic Atoms ◽  
Pure Coulomb ◽  
Coulomb Effects ◽  
Three Body

Abstract A nonrelativistic (NR) theory of recoil corrections to the magnetic moments of bound particles is revisited. A number of contributions can be described within an NR theory with the help of various potentials. We study those potential-type contributions for two-body atomic systems. We have developed an approach, that allows us to find the g factor for an electron or muon in a two-body bound system for an arbitrary electrostatic interaction together with the m/M recoil corrections, as well as the binding corrections to the g factor of the nucleus. We focus our attention on light muonic two-body atoms, where the recoil effects are enhanced. Both mentioned kinds of contributions have been previously known only for the pure Coulomb effects. We have applied the here-obtained master equations to a few particular cases of perturbations of the Coulomb potential. In particular, the results on the recoil corrections to the finite-nuclear-size (FNS) and Uehling-potential contributions to the g factor of the bound muon are obtained. The Uehling-potential and FNS contributions to the g factor of the bound nucleus have been found as well together with the related recoil corrections. We have generalized the results for the case of the g factor of a bound muon in a three-body atomic system consisting of an electron, a muon, and a spinless nucleus. Graphical abstract

scholarly journals Universal three-body parameter of heavy-heavy-light systems with a negative intraspecies scattering length

2019 ◽  
Vol 100 (5) ◽  
Author(s):  
Cai-Yun Zhao ◽  
Hui-Li Han ◽  
Meng-Shan Wu ◽  
Ting-Yun Shi
Keyword(s):  
Scattering Length ◽  
Body Parameter ◽  
Three Body

scholarly journals The Universality of the Efimov Three-body Parameter

2013 ◽  
Vol 54 (7-10) ◽  
pp. 1523-1527 ◽  
Author(s):  
J. P. D’Incao ◽  
J. Wang ◽  
B. D. Esry ◽  
C. H. Greene
Keyword(s):  
Body Parameter ◽  
Three Body
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