Alexander V. Glushkov

Consistent quantum approach to new laser-electron-nuclear effects in diatomic molecules

We present a consistent, quantum approach to the calculation of electron-nuclear γ. spectra (set of vibrational and rotational satellites) for nuclei in diatomic molecules. The approach generelizes the well known Letokhov-Minogin model and is based on the Dunham model potential approximation for potential curves of diatomic molecules. The method is applied to the calculation of probabilities of the vibration-rotation-nuclear transitions in a case of emission and absorption spectrum for the nucleus 127I (Eγ(0) = 203 keV) linked with the molecule H127I.

Relativistic Theory of Cooperative Muon – γ-Nuclear Processes: Negative Muon Capture and Metastable Nucleus Discharge

We present a new consistent energy approach to calculation of the cross-section for the negative muon capture by an atom, based on the relativistic many-body perturbation (PT) theory. The calculation results for cross-section of the μ−capture by He atom are listed. It is presented a generalized energy approach in the relativistic theory of discharge of a metastable nucleus with emission of γ quantum and further muon conversion, which initiates this discharge. The numerical calculation of the corresponding probabilities is firstly carried out for the scandium nucleus (A = 49, N = 21) with using the Dirac-Woods-Saxon model. The theoretical and experimental studying the muon-γ-nuclear interaction effects opens prospects for nuclear quantum optics, probing the structural features of a nucleus and muon spectroscopy in atomic and molecular physics.

Gauge-Invariant QED Perturbation Theory Approach to Calculating Nuclear Electric Quadrupole Moments, Hyperfine Structure Constants for Heavy Atoms and Ions

Relativistic calculation of the spectrum hyperfine structure parameters for heavy atoms and multicharged ions with an account of the relativistic, correlation, nuclear, quantum electrodynamics (QED) effects is carried out. Our calculation method is based on the gauge-invariant QED perturbation theory (PT) with using the optimized one-quasiparticle representation firstly in the theory of the hyperfine structure for relativistic systems. The energies and constants of the hyperfine structure, derivatives of the one-electron characteristics on nuclear radius, nuclear electric quadrupole, magnetic dipole moments Q for atom of the hydrogen 1H (test calculation), superheavy H-like ion with nuclear charge Z = 170, Li-like multicharged ions with Z = 20 ÷ 100, neutral atoms of 235U, 201Hg and 227Ra are calculated.

Consistent quantum theory of recoil induced excitation and ionization in atoms during capture of neutron

We present a consistent new theoretical scheme for the calculation of recoil-induced excitation and ionization in atoms and ions during the emission or capture of a neutral particle (neutron) or alpha particle. The perturbation theory on inter electron interaction as a method of the calculation of correlated electron wave functions is used. The numerical results for transition probabilities to different electronic states, induced by capture of a neutron by 3He, 19Ne8+ are presented.

QED Approach to Atoms in a Laser Field: Multi-Photon Resonances and Above Threshold Ionization

A new consistent method for studying the interaction of atom with a realistic laser field, based on the quantum electrodynamics (QED) and S-matrix adiabatic formalism Gell-Mann and Low, is presented. In relativistic case the Gell-Mann and Low formula expressed an energy shift δE through QED scattering matrix including the interaction with as the laser field as the photon vacuum field. It is natural to describe the laser field-atom interaction by means of the radiation emission and absorption lines. Their position and shape fully determine the spectroscopy of atom in a field. The radiation atomic lines can be described by moments of different orders μn. The main contribution into μn is given by the resonant range. The values μn can be expanded into perturbation theory (PT) series. As example, the method is used for numerical calculation of the three-photon resonant, four-photon ionization profile of atomic hydrogen (1s-2p transition; wavelength = 365 nm) and multi-photon resonance width and shift for transition 6S-6F in the atom of Cs (wavelength 1,059 nm) in a laser pulses with the Gaussian and soliton-like shapes. The results of calculation the above threshold ionization (ATI) characteristics for atom of magnesium field are presented too.

Energy Approach to Resonance states of Compound Superheavy Nucleus and EPPP in Heavy Nuclei Collisions

A consistent unified energy approach (operator perturbation theory) is used for numerical calculations of the electron‐positron pair production cross‐section in heavy nuclei collisions. Resonance phenomena in the nuclear subsystem lead to the structurization of the positron spectrum produced. The positron spectrum narrow peaks are treated as resonance states of the compound superheavy nucleus. Calculation results for the differential cross‐sections of the U‐U collision energies E1 (E1=162.0keV‐ third s‐resonance; E1=247.6keV‐ the fourth s‐resonance) are presented.

The Green’s Functions and Density Functional Approach to Vibrational Structure in the Photoelectron Spectra for Molecules

The combined theoretical approach to vibrational structure in photoelectron spectra (PES) of molecules, which is based on the density functional theory (DFT) and the Green’s‐functions (GF) approach, is used for quantitative treating the carbon oxide molecule PES.

New Laser-Electron Nuclear Effects in the Nuclear γ Transition Spectra in Atomic and Molecular Systems

A consistent QED perturbation theory approach is applied to calculation of the electron-nuclear γ-transition spectra of nucleus in the multicharged ion. The intensities of satellites are defined in the relativistic version of the energy approach (S-matrix formalism). As example, the nuclear transition in the isotope 26 57 Fe with energy 14.41 keV is considered. The results of the relativistic calculation for the electron-nuclear γ-transition spectra (set of electron satellites) of the nucleus in a multicharged atomic ion FeXIX are presented. The possible experiments for observation of the new effect in the thermalized plasma of O- like ions are discussed. Consistent, quantum approach to calculation of the electron-nuclear γ transition spectra (set of vibration-rotational satellites in molecule) of nucleus in molecule, which generalizes the well known Letokhov-Minogin model, is presented and based on the Dunham model potential approximation for potential curves of the diatomic molecules. Estimates are made for vibration-rotation-nuclear transition probabilities in a case of the emission and absorption spectrum of nucleus 127I (E γ (0) = 203 keV) in the molecule of H127I. Estimates of the vibration-nuclear transition probabilities in a case of the emission and absorption spectrum of nucleus 191Ir (E γ (0) = 82 keV) in the molecule of IrO4 and nucleus 188Os (E γ (0) = 155 keV) in the molecule of OsO4 are presented too.

Numerical Modelling a Populations Differences Dynamics of the Resonant Levels of Atoms in a Nonrectangular Form Laser Pulse: Optical Bistability Effect

The results of numeric calculation of population kinetics of resonant levels for atoms in the non-rectangular form laser pulse on the basis of the modified Bloch equations are presented. Cited equations describe an interaction between two-level atoms ensemble and resonant radiation with an account of the atomic dipole-dipole interaction. It has been found for a case of ch-1 laser pulse a strengthen possibility of manifestation of the internal optical bistability effect special features in the temporary dynamics of populations for the atomic resonant levels under adiabatic slow changing the acting field intensity in comparison with a case of the rectangular form pulses

Advanced Quantum Mechanical Calculation of Superheavy Ions: Energy Levels, Radiation and Finite Nuclear Size Effects

Advanced quantum approach to calculation of spectra for superheavy ions with an account of relativistic, correlation, nuclear, radiative effects is developed and based on the gauge invariant quantum electrodynamics (QED) perturbation theory (PT). The Lamb shift polarization part is calculated in the Ueling approximation, self‐energy part is defined within a new non‐PT procedure of Ivanov‐Ivanova. Calculation results for energy levels, hyperfine structure parameters of some heavy elements ions are presented.