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A relativistic analysis of the polarization properties of light elastically scattered by atomic hydrogen is performed, based on the Dirac equation and second order perturbation theory. The relativistic atomic states used for the…

The non-relativistic cross section from Rayleigh scattering by hydrogen atoms in the ground state is calculated over a wide range of photon energies ($< 0.8$ keV). Evaluations are performed in terms of the real and imaginary components of…

Atomic Physics · Physics 2022-11-02 René D. Rohrmann , Matías Vera Rueda

We study the polarization characteristics of x-ray photons scattered by hydrogenic atoms, based on the Dirac equation and second-order perturbation theory. The relativistic states used in calculations are obtained using the finite basis set…

Atomic Physics · Physics 2014-10-23 Laleh Safari , Jose Paulo Santos , Pedro Amaro , Filippo Fratini

The angular distribution of the emitted electrons, following the two-photon ionization of the hydrogen-like ions, is studied within the framework of second order perturbation theory and the Dirac equation. Using a density matrix approach,…

Atomic Physics · Physics 2007-05-23 Peter Koval , Stephan Fritzsche , Andrey Surzhykov

The process of the elastic scattering of photons on atoms, known as the Rayleigh scattering, is investigated. Expressing the scattering observables in terms of the electric and magnetic complex scattering amplitudes, we work over the…

Atomic Physics · Physics 2020-10-20 A. V. Volotka , A. Surzhykov , S. Fritzsche

The angular distribution of the emitted electrons, following the two--photon ionization of the hydrogen--like ions, is studied within the framework of second order perturbation theory \textit{and} the Dirac equation. Using a density matrix…

Atomic Physics · Physics 2007-05-23 Peter Koval , Stephan Fritzsche , Andrey Surzhykov

The elastic Rayleigh scattering of twisted light and, in particular, the polarization (transfer) of the scattered photons have been analyzed within the framework of second-order perturbation theory and Dirac's relativistic equation. Special…

Atomic Physics · Physics 2018-05-23 A. A. Peshkov , A. V. Volotka , A. Surzhykov , S. Fritzsche

Scattering of photons at an atom with a dynamical nucleus is studied on the subspace of states of the system with a total energy below the threshold for ionization of the atom (Rayleigh scattering). The kinematics of the electron and the…

Mathematical Physics · Physics 2007-05-23 J. Froehlich , M. Griesemer , B. Schlein

The results of theoretical investigation of angular distributions of radiation from a relativistic electron passing through a thin crystal at a small angle to the crystal axis are presented. The electron trajectories in crystal were…

High Energy Physics - Phenomenology · Physics 2007-05-23 X. Artru , S. P. Fomin , N. F. Shul'ga

We study the origin of dichroic effects in elastic scattering of high energy electrons by hydrogen atoms in the presence of a two-color bicircular laser field of commensurate frequencies, in the domain of moderate intensities below 10…

Atomic Physics · Physics 2023-09-27 Gabriela Buica

The differential and total cross sections for the scattering of muonic, pionic, kaonic and antiprotonic hydrogen in excited states from atomic hydrogen have been calculated for the purpose of atomic cascade calculations. The scattering…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. S. Jensen , V. E. Markushin

We present a low energy expansion of the Kramers-Heisenberg formula for atomic hydrogen in terms of $(\omega/\omega_l)$, where $\omega_l$ and $\omega$ are the angular frequencies corresponding to the Lyman limit and the incident radiation,…

Astrophysics · Physics 2009-11-10 Hee-Won Lee , Hee Il Kim

We present explicit expressions for Rayleigh and Raman scattering cross-sections and phase matrices of the ground $1s$ state hydrogen atom based on the Kramers-Heisenberg dispersion formula. The Rayleigh scattering leaves the hydrogen atom…

High Energy Astrophysical Phenomena · Physics 2024-07-15 Mitsuru Kokubo

The previously derived vortex atomic form factor, which is directly related to a differential reaction cross section, is used to analyze the elastic scattering of twisted vortex photons with a hydrogenic atomic target. The vortex atomic…

Quantum Physics · Physics 2019-09-18 Jack Gallahan

We present the angular distribution of electrons knocked out from an atom in a fast charge particle collision at small momentum transfer. It is determined not only by dipole but also by quadrupole transitions, the contribution of which can…

Atomic Physics · Physics 2015-06-03 M. Ya. Amusia , L. V. Chernysheva , E. Z. Liverts

We investigate the angular distribution of electrons that are emitted in the ionization of hydrogen-like ions by twisted photons. Analysis is performed based on the first-order perturbation theory and the non-relativistic Schr\"odinger…

The two-photon decay in hydrogen-like ions is investigated within the framework of second order perturbation theory and Dirac's relativistic equation. Special attention is paid to the angular correlation of the emitted photons as well as to…

Atomic Physics · Physics 2014-10-23 P. Amaro , F. Fratini , S. Fritzsche , P. Indelicato , J. P. Santos , A. Surzhykov

We consider the elastic scattering of electrons by hydrogen atoms in the presence of a two-color circularly polarized laser field in the domain of moderate intensities below $10^{13}$ W/cm$^2$ and high projectile energies. A hybrid approach…

Atomic Physics · Physics 2023-06-16 Gabriela Buica

Compton scattering of low-frequency radiation by an isotropic distribution of (i) mildly and (ii) ultra relativistic electrons is considered. It is shown that the ensemble-averaged differential cross-section in this case is noticeably…

Astrophysics · Physics 2011-05-23 Sergei Y. Sazonov , Rashid A. Sunyaev

We develop a quantum theory of atomic Rayleigh scattering. Scattering is considered as a relaxation of incident photons from a selected mode of free space to the reservoir of the other free space modes. Additional excitations of the…

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