Ab-initio QED calculations of spectra and transition probabilities in atomic few-electron systems
Zusammenfassung der Projektergebnisse
This project has been devoted to the development of methods for complete ab-initio QED calculations which apply to the atomic few-electron problem. Calculations of atomic structure and transition probabilities going beyond the approximations employed in standard relativistic many-body approaches by treating simultaneously electron-correlation and QED-radiative eects on an equal fundamental level of description have been provided. Problems associated with gauge invariance and renormalization which required special attention in self-consistent schemes for numerical evaluations have been solved. The novel nite-basis-set representation (dual kinetic balance approach) of the complete Dirac spectrum in the presence of external potentials has been successfully applied and extended, respectively. An overall improvement in the accuracy of numerical QED evaluations has been achieved. Utilizing the Line Prole Approach as well as Two-Time Green function methods most accurate results of atomic spectra and transition probabilities incorporating interelectronic-interaction and QED-radiative corrections in few-electron atoms and ions have been achieved, especially, in connection with predictions of electroweak eects, the hyperne structure and the determination of bound-electron g factors. Recent investigations of ionisation processes based on an ab-initio QED perturbation theory describtion have been continued. To a large extend the method used turns out to be also applicable to many-electron systems. Major results in brief: Radiative and correlation eects on the parity-nonconserving transition amplitude in neutral Cs and Fr atoms have been evaluated. In particular, due to the inclusion of the one-loop self-energy correction the value for electroweak charge in 133 Cs has been deduced, which deviates from the deviates 1.1σ from the Standard Model prediction. The g factor of B-like ion of lead 208 Pb77+ has been evaluated to a precision of about 10−6 . Interelectronic-interaction and QED-radiative corrections, including the screening eect, and recoil corrections have been taken into account. The ground-state hyperne splitting values have been rened for a number of lithium- and boronlike ions with nuclear charge numbers Z from 7 to 83. The eect of screening of QED corrections has been evaluated. The values of the specic dierences between the hyperne splitting values in B- and H-like ions and in Li- and H-like ions have been presented. Ab initio QED calculation of the 2p3/2 − 2p1/2 transition energy in boron-like argon has been performed. The 2p1/2 − 2s and 2p3/2 − 2s transition energies in lithium-like scandium have been calculated as well. The results are in perfect agreement with the recently published experimental values. The recoil correction to the M1-transition rates between ne-structure levels has been evaluated in a rigorous QED approach. The line prole approach has been elaborated and applied to evaluation of energy levels and transition probabilities in highly charged ions. Calculations have been performed for the nondegenerate states (1s1s)3 S1 , (1s2p3/2 )3 P2 and quasidegenerate states (1s2p)1 P1 , (1s2p)3 P1 decaying to the (1s1s)1 S0 ground state.
Projektbezogene Publikationen (Auswahl)
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Magnetic-dipole transition probabilities in B-like and Be-like ions. Phys. Rev. A72 (2005) 062503-1-9
I.I. Tupitsyn, A. V. Volotka, D. A. Glazov, V. M. Shabaev, G. Plunien, J. R. Crespo López-Urrutia, A. Lapierre, J. Ullrich
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Radiative and correlation effects on the parity-nonconserving transition amplitude in heavy alkali-metal atoms. Phys. Rev. A72 (2005) 062105-1-13
V. M. Shabaev, I.I. Tupitsyn, K. Pachicki, G. Plunien, V. A. Yerokhin
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Double ionization of lithiumlike ions by Compton scattering of high-energy photons. Phys. Rev. Lett. 97 (2006) 233003-1-4
A. I. Mikhailov, A. V. Nefiodov, G. Plunien
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g-factor of heavy ions: a new access to the fine structure constant. Phys. Rev. Lett. 96 (2006) 253002-1-4
V. M. Shabaev, D. A. Glazov, N. S. Oreshkina, A. V. Volotka, G. Plunien, H.-J. Kluge, W. Quint
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Radiative corrections to the magnetic-dipole transition amplitude in B-like systems. Eur. Phys. J. D 38 (2006) 293-298
A. V. Volotka, D. A. Glazov, G. Plunien, V. M. Shabaev, I.I. Tupitsyn
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Screened QED corrections to the g factor of Li-like ions. Phys. Lett. A 357 (2006) 330-333
D.A. Glazov, A.V. Volotka, V.M. Shabaev, I.I. Tupitsyn, G. Plunien
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Excitations of K-shell electrons by electron impact. Phys. Lett. A 371 (2007)432-437
A. V. Nefiodov and G. Plunien
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Hyperfine structure of lithium-like scandium. Optics and Spectroscopy 102 (2007) 815-818
N. S. Oreshkina, A. V. Volotka, D. A. Glazov, I. I. Tupitsyn, V. M. Shabaev, G. Plunien
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QED calculation of the 2p1/2 − 2s and 2p3/2 − 2s transition energies and the ground-state hyperfine splitting in lithiumlike scandium. Phys. Rev. A 76 (2007) 012511-1-4
Y. S. Kozhedub, D. A. Glazov, A. N. Artemyev, N. S. Oreshkina, V. M. Shabaev, I. I. Tupitsyn, A. V. Volotka, and G. Plunien
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QED calculation of the 2p3/2 − 2p1/2 transition energy in boronlike argon. Phys. Rev. Lett. 98 (2007) 180801-1-4
A. N. Artemyev, V. S. Shabaev, I. I. Tupitsyn, G. Plunien, V. A. Yerokhin
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QED corrections and the chemical properties of Eka-Hg. Eur. Phys. J. D 45 (2007) 171-177
I. Goidenko, I. Tupitsyn, G. Plunien
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Single photoeffect on helium-like ions in asymptotic nonrelativistic region. Phys. Lett. A 368 (2007) 391
A. I. Mikhailov, A. V. Nefiodov, G. Plunien
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Ground-state hyperfine structure of H-, Li-, and B-like ions in the intermediate-Z region. Phys. Rev. A 78 (2008) 062507-1-11
A. V. Volotka, D. A. Glazov, I. I. Tupitsyn, N. S. Oreshkina, G. Plunien, V. M. Shabaev
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Ionization of K-shell electrons by electron impact. Phys. Lett. A 372 (2008) 4451-4461
A. I. Mikhailov, A. V. Nefiodov, G. Plunien
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Nuclear recoil effect on the magnetic-dipole decay rates of atomic levels. Eur. Phys. J. D 48 (2008), 167-170
A. V. Volotka, D. A. Glazov, G. Plunien, V. M. Shabaev, I. I. Tupitsyn
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QED theory of the spectral line profiles and its applications to atoms and ions. Physics Reports 455 (2008) 135-246
O. Yu. Andreev, L. N. Labzowsky, G. Plunien, D. A. Solovyev
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Radiative and interelectronic-interaction corrections to the hyperfine splitting in highly charged B-like ions. Phys. Lett. A 372 (2008) 675-680
N. S. Oreshkina, D. A. Glazov, A. V. Volotka, V. M. Shabaev, I. I. Tupitsyn, G. Plunien
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QED calculation of transition probabilities in two-electron ions. Phys. Rev. A 79 (2009) 032515-1-28
O. Yu. Andreev, L. N. Labzowsky, G. Plunien
