Rayleigh scattering by atomic ions of low nuclear charge

Anomalous elastic scattering of an x-ray photon by a molybdenum atom near the K-edge

“…Also, the processes of one-photon multiple excitation/ionization of the atomic ground state [16] were taken into account. Outside the area of anomalous dispersion scattering, good agreement is obtained with theoretical results for the Ne atom [5] and with theoretical and experimental results for Kr and Xe atoms presented in [1].…”

“…The process of anomalous elastic scattering of x-ray radiation (the range of photon energy 0.62 keV hω 1.24 MeV) by electrons of a free atom (Rayleigh scattering) has become a popular subject for both intensive experimental [1][2][3] and theoretical [4][5][6][7][8][9] investigations in recent years.…”

“…Existing theoretical models of the process (the form-factor approximation [8], its modifications [6,7,9], the second order of the S-matrix formalism in quantum electrodynamics [1,4,5]) are not applicable in the anomalous dispersion range of elastic scattering [10]. So, a further development of the theory is needed, particularly by inclusion in consideration of the hierarchy of many-particle effects.…”

Elastic scattering of photon by the Ne atom and the Ne6+ion

“…(i) As one would have expected (see figures 1, 3), the inclusion of the infinite series of the virtual mp-photoexcitation states leads to the restoration of the intensity of the near edge scattering which is lost in the theoretical description of the differential cross section (1) on a limited base of the mp-wavefunctions. (ii) It follows from the results in figures 2, 4 (see also [11,12] for the Ne 6+ ion) that upon going from an atom to its multiply charged ion with the loss of the outermost shell the energy region ( , where E is the total Hartree-Fock's energy of the initial η1s 2 0 [ 1 S 0 ]-and the final η1snp[ 1 P 1 ]-states of photoabsorption.…”

Bound-state QED solutions of the photons off-shell propagating behavior in atoms

“…Besides, the electric dipole approximation also restricts the electric dipole and the interaction on a spatial point, which makes the quantum optics models can not give the propagating behavior of photons from one point to another in atoms. Other nonrelativistic light-atom(ion) scattering models are also well developed to study the Rayleigh scattering [13] and Compton scattering [14] between X-rays and bound electrons in atoms. These models have no electric dipole approximation.…”