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Journal
2004 | 2 | 4 | 720-736
Article title

Hyperfine structure operator in the tensorial form of second quantization

Content
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EN
Abstracts
EN
The general tensorial form of the hyperfine interaction operator in the formalism of second quantization is presented. Both diagonal and off-diagnonal matrix elements of the above-mentioned operator are found using an approach based on a combination of second quantization in the coupled tensorial form, angular momentum theory in three spaces (orbital, spin and quasispin) and a generalised graphical technique. This methodology allows us to account for correlation effects efficiently and, therefore, to study the hyperfine interactions in complex many-electron atoms, those with openf-shells included, in a practical manner. All this will lead us to design an efficient program for large scale calculations of hyperfine structure and isotope shift.
Publisher

Journal
Year
Volume
2
Issue
4
Pages
720-736
Physical description
Dates
published
1 - 12 - 2004
online
1 - 12 - 2004
Contributors
  • Vilnius University Research Institute of Theoretical Physics and Astronomy, A. Goštauto 12, LT-01108, Vilnius, Lithuania
author
  • Vilnius University Research Institute of Theoretical Physics and Astronomy, A. Goštauto 12, LT-01108, Vilnius, Lithuania
References
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  • [7] G. Gaigalas, Z. R. Rudzikas and C. F. Fischer: “An efficient approach for spinangular integrations in atomic structure calculations”, J. Phys. B, Vol. 30, (1997), pp. 3747–71. http://dx.doi.org/10.1088/0953-4075/30/17/006[Crossref]
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  • [10] V. A. Dzuba, V. V. Flambaum, M. G. Kozlov and S. G. Porsev, “Using effective operators in calculating the hyperfine structure of atoms”, JETP, Vol. 87, (1998), pp. 885–890. http://dx.doi.org/10.1134/1.558736[Crossref]
  • [11] S.G. Porsev, Y.G. Rakhlina and M.G. Kozlov: “Calculation of hyperfine structure for ytterbium”, J. Phys. B: At. Mol. Phys., Vol. 32, (1999), pp. 1113–1120. http://dx.doi.org/10.1088/0953-4075/32/5/006[Crossref]
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  • [13] P. Jönsson, C.-G. Wahlström and C. F. Fischer, “A program for computing magnetic dipole and electric quadrupole hyperfine constants from MCHF wave functions”, Comp. Phys. Commun., Vol. 74, (1993), pp. 399–414. http://dx.doi.org/10.1016/0010-4655(93)90022-5[Crossref]
  • [14] G. Gaigalas and G. Merkelis: “Application of the method of irreducible tensorial operators to study the expansion of stationary perturbation theory”, Acta Phys. Hungarica, Vol. 61, (1987), pp. 111–114.
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_BF02475572
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