240 research outputs found
Compton scattering of twisted light: angular distribution and polarization of scattered photons
Compton scattering of twisted photons is investigated within a
non-relativistic framework using first-order perturbation theory. We formulate
the problem in the density matrix theory, which enables one to gain new
insights into scattering processes of twisted particles by exploiting the
symmetries of the system. In particular, we analyze how the angular
distribution and polarization of the scattered photons are affected by the
parameters of the initial beam such as the opening angle and the projection of
orbital angular momentum. We present analytical and numerical results for the
angular distribution and the polarization of Compton scattered photons for
initially twisted light and compare them with the standard case of plane-wave
light
Negative-continuum dielectronic recombination into excited states of highly-charged ions
The recombination of a free electron into a bound state of bare, heavy
nucleus under simultaneous production of bound-electron--free-positron pair is
studied within the framework of relativistic first--order perturbation theory.
This process, denoted as "negative-continuum dielectronic recombination" leads
to a formation of not only the ground but also the singly- and doubly-excited
states of the residual helium-like ion. The contributions from such an
excited--state capture to the total as well as angle-differential
cross-sections are studied in detail. Calculations are performed for the
recombination of (initially) bare uranium U ions and for a wide range
of collision energies. From these calculations, we find almost 75 % enhancement
of the total recombination probability if the excited ionic states are taken
into account.Comment: 8 pages, 4 figures, accepted to PR
Comparative study of the electron- and positron-atom bremsstrahlung
Fully relativistic treatment of the electron-atom and positron-atom
bremsstrahlung is reported. The calculation is based on the partial-wave
expansion of the Dirac scattering states in an external atomic field. A
comparison of the electron and positron bremsstrahlung is presented for the
single and double differential cross sections and the Stokes parameters of the
emitted photon. It is demonstrated that the electron-positron symmetry of the
bremsstrahlung spectra, which is nearly exact in the nonrelativistic regime, is
to a large extent removed by the relativistic effects
Many-electron effects on the x-ray Rayleigh scattering by highly charged He-like ions
The Rayleigh scattering of x-rays by many-electron highly charged ions is
studied theoretically. The many-electron perturbation theory, based on a
rigorous quantum electrodynamics approach, is developed and implemented for the
case of the elastic scattering of (high-energetic) photons by helium-like ion.
Using this elaborate approach, we here investigate the many-electron effects
beyond the independent-particle approximation (IPA) as conventionally employed
for describing the Rayleigh scattering. The total and angle-differential cross
sections are evaluated for the x-ray scattering by helium-like Ni,
Xe, and Au ions in their ground state. The obtained results
show that, for high-energetic photons, the effects beyond the IPA do not exceed
2% for the scattering by a closed -shell.Comment: 15 pages, 11 figure
Scattering of twisted relativistic electrons by atoms
The Mott scattering of high-energetic twisted electrons by atoms is
investigated within the framework of the first Born approximation and Dirac's
relativistic equation. Special emphasis is placed on the angular distribution
and longitudinal polarization of the scattered electrons. In order to evaluate
these angular and polarization properties we consider two experimental setups
in which the twisted electron beam collides with either a single well-localized
atom or macroscopic atomic target. Detailed relativistic calculations have been
performed for both setups and for the electrons with kinetic energy from 10 keV
to 1000 keV. The results of these calculations indicate that the emission
pattern and polarization of outgoing electrons differ significantly from the
scattering of plane-wave electrons and can be very sensitive to the parameters
of the incident twisted beam. In particular, it is shown that the angular- and
polarization-sensitive Mott measurements may reveal valuable information about,
both the transverse and longitudinal components of the linear momentum and the
projection of the total angular momentum of twisted electron states. Thus, the
Mott scattering emerges as a diagnostic tool for the relativistic vortex beams.Comment: 12 pages, 4 figure
Level sequence and splitting identification of closely-spaced energy levels by angle-resolved analysis of the fluorescence light
The angular distribution and linear polarization of the fluorescence light
following the resonant photoexcitation is investigated within the framework of
the density matrix and second-order perturbation theory. Emphasis has been
placed on "signatures" for determining the level sequence and splitting of
intermediate (partially) overlapping resonances, if analyzed as a function of
the photon energy of the incident light. Detailed computations within the
multiconfiguration Dirac-Fock method have been performed especially for the
photoexcitation and subsequent fluorescence emission of atomic sodium. A
remarkably strong dependence of the angular distribution and linear
polarization of the fluorescence emission is found upon the level
sequence and splitting of the intermediate overlapping resonances owing to their finite lifetime
(linewidth). We therefore suggest that accurate measurements of the angular
distribution and linear polarization might help identify the sequence and small
splittings of closely-spaced energy levels, even if they can not be
spectroscopically resolved.Comment: 9 pages, 7 figure
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