XVIth International Workshop on
Quantum Systems in
Chemistry and Physics
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Finite Fermi Systems in Strong External DC Electric and Laser Fields: New Quantum Approach
Alexander V. Glushkov1,2
1 Odessa University, Odessa-9, SE, Ukraine,
2 ISAN, Russian Academy of Sciences, Troitsk, Moscow reg., Russia
We present new quantum method for studying interaction of the finite Fermi systems (atoms, nuclei, diatomics) with an intense and superintense external fields (DC electric and laser fields). New quantum method is the combined relativistic operator perturbation theory and relativistic energy approach [1,2]. The energy approach is based on the Gell-Mann and Low adiabatic formalism and formalism of the relativistic Green function for the Dirac equation with nonsingular potential and complex energy [2]. The operator perturbation theory formalism includes a new quantization procedure of the Kohn-Shan and Dirac equations states of the finite Fermi-systems in a strong field. The key feature is that the zeroth order Hamiltonian, possessing only stationary states, is determined only by its spectrum without specifying its explicit form. Some results of the calculation for the DC, AC strong field Stark resonances, multi-photon resonances, broadening autoionization resonances, ionization profiles for the H, Cs, Yb, Gd atoms are presented and compared with results of other known theories [3]. Especial interest attracts new relativistic treating of the drastic broadening effect of widths for the reorientation decay autoionization resonances in lanthanides [1]. The direct interaction of super intense laser fields in the optical frequency domain with nuclei is studied and the AC Stark effect for nuclei is described within the operator perturbation theory and the relativistic mean-field (plus Dirac-Woods-Saxon) model for the ground-state calculation of the nuclei 49Sc, 168Er, 171Yb. The results are compared with other available data [3].
References :
[1]. A.V.Glushkov, L.N.Ivanov, Phys.Lett.A.170,36 (1992); J.Phys. B 26, L379 (1993); Preprints ISAN NAS1-3, Moscow (1992).
[2]. A.V.Glushkov et al, Int.J.Quant.Chem.99, 936 (2004); 104, 562 (2005); 109, 1717 (2009); 111, 286 (2011); Frontiers in Quantum Systems in Chem. and Phys. (Springer), 15, 285 (2006); 18, 505-585 (2008), 20, 127 (2009);
[3] E.Brandas, P.Froelich, Phys.Rev.A 16, 2207 (1977); J.Rao, B.Li, Phys.Rev.A 51,4526 (1995); T.Burvenichm J.Evers, C.H.Keitel, Phys.Rev.Lett. 96, 142501 (2006); A.Glushkov, L.N.Ivanov, V.S.Letokhov, Preprint ISAN NAS-4, Moscow-Troitsk (1991).
Laser Electron-Gamma-Nuclear Spectroscopy of Atoms and Multicharged Ions and NEET Effects in Heavy Nuclei: Relativistic Energy Approach
Alexander V. Glushkov,1,2 Olga Yu. Khetselius1 Svetlana Malinovskaya1 and Andrey A. Svinarenko1
1Odessa University, Odessa-9, SE, Ukraine

2ISAN, Russian Academy of Sciences, Troitsk, Moscow reg., Russia
In the resonant process of nuclear excitation by electron transition (NEET) or electron capture (NEEC) an electron is captured into a bound atomic shell with the simultaneous excitation of the nucleus. The excited nucleus can then decay radiatively or by internal conversion. In the latter case, a resonant inelastic electron scattering on the nucleus occurs. Here we present consistent, relativistic approach to calculation of the probabilities of the different cooperative laser electron-gamma-nuclear processes in atoms, ions, nuclei and resonant NEET (NEEC) processes in heavy nuclei, based on the relativistic density functional (DF) formalism and energy approach (S-matrix formalism of Gell-Mann and Low) [2]. Decay and excitation probability is linked with the imaginary part of energy of the excited state for the “electron shell- nucleus-photons” system. For radiate decays it is manifested as effect of retarding in interaction and self-action and calculated within QED- DFT theory [2]. We firstly present data about intensities of the electron satellites in gamma-spectra of nuclei in the neutral (low lying transitions) and multicharged O-and F-like ions for isotopes 57Fe, 133Cs, 171Yb and discover a new effect of the giant increasing electron satellites intensities under transition from the neutral atoms to multicharged ions. We present new, more accurate data about NEET probabilities in the nuclei of 189Os, 197Au (with comparison with theoretical data by Tkalya and experimantal data of Argonne Nat.Lab. and Japan Synchrotron Centre [3]) and firstly for nuclei of 193Ir, 235U, 268Mt.
[1]. L.N.Ivanov, V.S.Letokhov, JETP. 93, 396 (1987); A.V.Glushkov, L.Ivanov, Phys.Lett.A 170, 33 (1992); A.V.Glushkov, L.N.Ivanov, V.S.Letokhov, Preprint of ISAN N AS-4, Troitsk, (1992); E.V.Tkalya, Phys.Rev.A.75, 022509 (2007); T.J. Burvenichm J.Evers, C.H.Keitel, Phys. Rev. C. 74, 044601 (2007) ; A.Shahbaz, C.Muller, A.Staudt, T.J.Burvenich, C.H.Keitel, Phys.Rev.Lett.98, 263901 (2007).
[2]. A.Glushkov et al, J.Phys.CS. 11, 188 (2005); 35, 425 (2005); Int.J.Quant.Chem. 104, 512, 562 (2005); 99, 889, 936 (2004); Europ.Phys.Journ. 160, 195 (2009); Phys.Scr.T135, 014022 (2009).
[3]. S.Kishimoto, Y.Yoda, Y.Kobayashi etal, Phys.Rev.C74, 031301 (2006); I. Ahmad, R.Dunfird, H.Esbensen etal, Phys.Rev.C61, 051304 (2000).

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