Correlation Effects on Hyperfine-Structure Expectation Values for the BoronP2Ground State

1970 ◽  
Vol 2 (3) ◽  
pp. 593-599 ◽  
Author(s):  
Richard Edwin Brown ◽  
Sven Larsson ◽  
Vedene H. Smith
Keyword(s):  
Hyperfine Structure ◽  
Correlation Effects ◽  
Expectation Values

Correlation Effects on Hyperfine-Structure Expectation Values for Atoms with Open2pSubshells

1972 ◽  
Vol 6 (4) ◽  
pp. 1375-1391 ◽  
Author(s):  
Sven Larsson ◽  
Richard Edwin Brown ◽  
Vedene H. Smith
Keyword(s):  
Hyperfine Structure ◽  
Correlation Effects ◽  
Expectation Values

Correlation Effects on Hyperfine-Structure Expectation Values for the BoronP2Ground State

1971 ◽  
Vol 3 (6) ◽  
pp. 2150-2150
Author(s):  
R. E. Brown ◽  
S. Larsson ◽  
V. H. Smith
Keyword(s):  
Hyperfine Structure ◽  
Correlation Effects ◽  
Expectation Values

CALCULATION OF THE GROUND STATE HYPERFINE STRUCTURE FOR MUONIC HELIUM ATOMS WITH THE USE OF SOME LOCAL PROPERTIES OF THE WAVE FUNCTIONS

2005 ◽  
Vol 19 (18) ◽  
pp. 889-897 ◽  
Author(s):  
M. R. ESKANDARI ◽  
B. REZAIE ◽  
S. MOHAMMADI
Keyword(s):  
Correlation Function ◽  
Hyperfine Structure ◽  
Ground State ◽  
Simple Wave ◽  
Hyperspherical Harmonic ◽  
Wave Functions ◽  
Variational Parameter ◽  
Expectation Values ◽  
Helium Atoms ◽  
Local Properties

The ground-state hyperfine structure and other properties are calculated for muonic helium atoms (3 He +2μ-e- and 4 He +2μ-e-), with the use of some local properties of the wave functions in the domains where two particles are close to each other or far away. Simple wave functions incorporating these properties with one variational parameter is developed. Also, the electron-muon correlation function is considered in proposed wave functions. It has a correct behavior for r12 tending to zero and infinity. The calculated values for hyperfine structure, energy and expectation values of r2n in ground-state, are compared with the multibox variational approach and the correlation function hyperspherical harmonic method. Our obtained results are very close to the values calculated by mentioned methods and giving strong indications that the proposed wave functions in addition to being very simple, provide relatively accurate values for hyperfine structure, energy and expectation values of r2n, emphasizing on the importance of the local properties of the wave functions.

scholarly journals HYPERFINE STRUCTURE PARAMETERS FOR COMPLEX ATOMS WITHIN RELATIVISTIC MANY-BODY PERTURBATION THEORY

2021 ◽  
pp. 52-59
Author(s):  
M. Makushkina ◽  
O. Antoshkina ◽  
O. Khetselius
Keyword(s):  
Perturbation Theory ◽  
Hyperfine Structure ◽  
Finite Size ◽  
Structure Parameters ◽  
Radiative Corrections ◽  
Correlation Effects ◽  
Many Body ◽  
Radium Isotope ◽  
Hartree Fock ◽  
Many Body Perturbation Theory

The calculational results for the hyperfine structure (HFS) parameters for the Mn atom (levels of the configuration 3d64s) and  the results of advanced calculating the HFS constants and nuclear quadrupole moment for the radium isotope are obtained on the basis of computing within the relativistic many-body perturbation theory formalism with a correct and effective taking into account the exchange-correlation, relativistic, nuclear and radiative corrections. Analysis of the data shows that an account of the interelectron correlation effects is crucial in the calculation of the hyperfine structure parameters.  The fundamental reason of physically reasonable agreement between theory and experiment is connected with the correct taking into account the inter-electron correlation effects, nuclear (due to the finite size of a nucleus), relativistic and radiative corrections. The key difference between the results of the relativistic Hartree-Fock Dirac-Fock and many-body perturbation theory methods calculations is explained by using the different schemes of taking into account the inter-electron correlations as well as nuclear and radiative ones.

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