Optimized perturbation theory scheme for calculating the interatomic potentials and hyperfine lines shift for heavy atoms in the buffer inert gas

2009 ◽  
Vol 109 (14) ◽  
pp. 3325-3329 ◽  
Author(s):  
S. V. Malinovskaya ◽  
A. V. Glushkov ◽  
O. Yu. Khetselius ◽  
A. A. Svinarenko ◽  
E. V. Mischenko ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Inert Gas ◽  
Interatomic Potentials ◽  
Heavy Atoms ◽  
Theory Scheme

Screening of residual Coulomb interaction and structure of many-body perturbation theory in heavy atoms

1989 ◽  
Author(s):  
V. A. Dzuba ◽  
V. V. Flambaum ◽  
P. G. Silvestrov ◽  
O. P. Sushkov
Keyword(s):  
Perturbation Theory ◽  
Coulomb Interaction ◽  
Many Body ◽  
Heavy Atoms ◽  
Many Body Perturbation Theory

Expansion in angular momenta in bound-state perturbation theory

1956 ◽  
Vol 233 (1195) ◽  
pp. 527-536 ◽  
Keyword(s):  
Perturbation Theory ◽  
Relativistic Electron ◽  
Bound State ◽  
Static Potential ◽  
Heavy Atoms ◽  
Angular Momenta

An expansion of the propagator S F (F) (x 2 , x 1 ) of a relativistic electron in a central static potential is given. The terms of this expansion correspond to the angular momenta of the electron propagated by this function. Applications to problems concerning heavy atoms are indicated.

The coherent scattering of γ -rays by K electrons in heavy atoms - I. Method

1954 ◽  
Vol 227 (1168) ◽  
pp. 51-58 ◽  
Keyword(s):  
Perturbation Theory ◽  
Coherent Scattering ◽  
Static Field ◽  
Matrix Elements ◽  
Static Potential ◽  
Heavy Atoms ◽  
Intermediate States ◽  
Γ Rays ◽  
Bound Electrons ◽  
Made In

A method for evaluating transition amplitudes for bound electrons in second order in the effects of the radiation field is outlined. An example of the type of problem concerned is the coherent scattering of γ -rays by the K electrons in heavy atoms. The static field in which the electron moves is taken into account exactly; no expansion is made in its effects. In the usual perturbation theory this is equivalent to summing matrix elements over intermediate states which are solutions of the wave equation including the static potential. In the method presented here, however, the sum over radial eigenstates for a particular angular momentum of intermediate state is replaced by quadratures of the products of known functions with the solution of a pair of coupled inhomogeneous differential equations.

scholarly journals Collisional shift of the heavy atoms hyperfine lines in an atmosphere of the inert gas

2012 ◽  
Vol 397 ◽  
pp. 012037 ◽  
Author(s):  
T A Florko ◽  
S V Ambrosov ◽  
A A Svinarenko ◽  
T B Tkach
Keyword(s):  
Inert Gas ◽  
Heavy Atoms

scholarly journals Relativistic Configuration-Interaction and Perturbation Theory Calculations for Heavy Atoms

Atoms ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 104
Author(s):  
Igor M. Savukov ◽  
Dmytro Filin ◽  
Pinghan Chu ◽  
Michael W. Malone
Keyword(s):  
Perturbation Theory ◽  
Configuration Interaction ◽  
Dipole Moments ◽  
Many Body ◽  
Atomic Systems ◽  
Heavy Atoms ◽  
Isotopic Shifts ◽  
Relativistic Configuration ◽  
Many Body Perturbation Theory ◽  
Relativistic Configuration Interaction

Heavy atoms present challenges to atomic theory calculations due to the large number of electrons and their complicated interactions. Conventional approaches such as calculations based on Cowan’s code are limited and require a large number of parameters for energy agreement. One promising approach is relativistic configuration-interaction and many-body perturbation theory (CI-MBPT) methods. We present CI-MBPT results for various atomic systems where this approach can lead to reasonable agreement: La I, La II, Th I, Th II, U I, Pu II. Among atomic properties, energies, g-factors, electric dipole moments, lifetimes, hyperfine structure constants, and isotopic shifts are discussed. While in La I and La II accuracy for transitions is better than that obtained with other methods, more work is needed for actinides.

Test of inert gas interatomic potentials: Virial coefficients for argon adsorption on xenon‐plated graphite

1976 ◽  
Vol 65 (7) ◽  
pp. 2501-2504 ◽  
Author(s):  
David G. Brown ◽  
C. S. Hsue
Keyword(s):  
Virial Coefficients ◽  
Inert Gas ◽  
Interatomic Potentials ◽  
Argon Adsorption
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