Description

It is presented an advanced combined relativistic operator perturbation theory (PT) and energy approach [1,2] and its application to studying interaction of the finite Fermi systems (heavy atoms, nuclei, molecules) with a strong external (DC electric and laser) field.. It is based on the Gell-Mann and Low adiabatic formalism and method of the relativistic Green’s function for the Dirac equation with complex energy. Results of the calculation for the multi-photon resonance and ionization profile in Na,Cs, Ba atoms are listed [2]. We have studied the cases of single-, multi-mode, coherent, stochastic laser pulse shape. New data on the DC, AC strong field Stark resonances, multi-photon and autoionization resonances, ionization profiles for a few heavy atoms (Eu, Tm, Gd, U) are presented. It has been firstly studied a giant broadening effect of the autoionization resonance width in a sufficiently weak electric (laser ) field for uranium It is declared that probably this effect is universal for optics and quantum chemistry of lanthanides and actinides and superheavy elements. The direct interaction of super intense laser field (I~1025-1035 W/cm2) with nuclei is studied within the operator PT and the relativistic mean-field (plus Dirac-Woods-Saxon) model [2,3]. We present the results of AC Stark shifts of single proton states in the nuclei 16O, 168Er and compared these data with available data. New data are also listed for the 57Fe and 171Yb nuclei. Shifts of several keV are reached at intensities of roughly 1034 W/cm2 for 16O, 57Fe and 1032 W/cm2 for heavier nuclei. It is firstly presented a consistent relativistic theory of multiphoton-resonances in nuclei and first estimates of energies and widths for such resonances are presented for 57Fe and 171Yb nuclei References: [1] A.V.Glushkov et al, Eur.Phys.J. T160,195-208 (2008); Phys. Scripta. T135, 014022 (2009); Int.J.Quant.Chem. 104, 512, 562 (2005). [2] A. V. Glushkov, Progr. Theor. Chem. & Phys. 27, 161-178 (2014); 26, 231-252 (2013).