Надтонка Структура Важких Атомів В Рамках Релятивістської Багаточастинкової Теорії Збурень

Abstract

The hyperfine structure and electric quadrupole moment of the mercury isotope are estimated 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 interelectron correlation effects, nuclear (due to the finite size of a nucleus), relativistic and radiative corrections. The key difference between the results of the RHF, RMPT methods calculations is explained by using the different schemes of taking into account the inter-electron correlations. 2. Relativistic method to computing hyperfine structure parameters of atoms and ions Let us describe the key moments of the approach (more details can be found in refs. [3,4,10-20]). The electron wave functions (the PT zeroth basis) are found from solution of the relativistic Dirac equation with potential, which includes ab initio mean-field potential, electric, polarization potentials of a nucleus. The charge distribution in the Li-like ion is modelled within the Gauss model. The nuclear model used for the Cs isotope is the independent particle model with the Woods-Saxon and spin-orbit potentials (see refa. [3,4]). Let us consider in details more simple case of the Li-like ion. We set the charge distribution in the Li-like ion nucleus ρ(r) by the Gaussian function: