Abstract:A theoretical study has been performed on the absolute values and the shapes of the differential cross sections of the elastic scattering of an x-ray photon by the Ne atom and by its Be-like ion Ne 6+ near the 1s-shell ionization threshold. The results of calculations for the Ne atom were found to be in agreement with the high-precision synchrotron radiation experiment by Coreno et al (1999 Phys. Rev. A 59 2494. The results of calculations for the Ne 6+ ion are predictions.
“…3-5 the violation of equality (16) leads to the loss of scattering intensity in the region of energies co0 ^ / ls. In our other work [12] it is shown that for the Ne atom, a similar Top solid curve: sum of functions pn, T)s = 0.24 eV [5]; (b) r ls = 0.27 eV [6]. I\s = 868.39 eV (calculation of this work), io0 is energy of the photon preparing the ls2s22p6(n,e)p initial scattering states.…”
The scattering process of an x-ray photon by an excited and ionized many-electron atom with attosecond photon-electron contact interaction is theoretically investigated. The results of the authors' recent work [Hopersky et a l, Phys. Rev. A 88, 032704 (2013)] are generalized for the cases of (a) arbitrary energy of the photon that prepares the scattering state and (b) the scattering of the photon by the continuous spectrum electron of the ionization state of the atom. The atom of Ne is considered as the object of the study. Along with the effects of normal Compton and elastic scattering, the existence of anomalous inelastic scattering is predicted. It may be assumed that this effect will become a basis for an experimental method of increasing the energy of the photons generated, for example, by a free-electron x-ray laser. It is determined that during the elastic scattering of a photon by an electron of the continuous spectrum, along with the known contribution from the f Bessel function over the I = 0 harmonic (Thomson scattering), there is also a contribution from Bessel functions with harmonics / e [1; oo). The experimental discovery and application of the anomalous Compton photon scattering effect directly by the atomic electron of the continuous spectrum have their own practical interest.
“…3-5 the violation of equality (16) leads to the loss of scattering intensity in the region of energies co0 ^ / ls. In our other work [12] it is shown that for the Ne atom, a similar Top solid curve: sum of functions pn, T)s = 0.24 eV [5]; (b) r ls = 0.27 eV [6]. I\s = 868.39 eV (calculation of this work), io0 is energy of the photon preparing the ls2s22p6(n,e)p initial scattering states.…”
The scattering process of an x-ray photon by an excited and ionized many-electron atom with attosecond photon-electron contact interaction is theoretically investigated. The results of the authors' recent work [Hopersky et a l, Phys. Rev. A 88, 032704 (2013)] are generalized for the cases of (a) arbitrary energy of the photon that prepares the scattering state and (b) the scattering of the photon by the continuous spectrum electron of the ionization state of the atom. The atom of Ne is considered as the object of the study. Along with the effects of normal Compton and elastic scattering, the existence of anomalous inelastic scattering is predicted. It may be assumed that this effect will become a basis for an experimental method of increasing the energy of the photons generated, for example, by a free-electron x-ray laser. It is determined that during the elastic scattering of a photon by an electron of the continuous spectrum, along with the known contribution from the f Bessel function over the I = 0 harmonic (Thomson scattering), there is also a contribution from Bessel functions with harmonics / e [1; oo). The experimental discovery and application of the anomalous Compton photon scattering effect directly by the atomic electron of the continuous spectrum have their own practical interest.
“…In the case of m from k 3 to ∞, the summation over the virtual one-electron mp-states excitation is performed analytically by the methods of work by Hopersky et al (2004) in the frame of the quasi-classical quantum-mechanical approximation for single and highly excited states m from k F (F is the Fermi level or the set of the quantum numbers of the valence shell of an atom (ion)) to ∞ (see, for example, Bethe (1964)):…”
In the non-relativistic approximation for the wavefunctions of the one-electron states and in the dipole approximation for the scattering amplitude, the effect of radial monopole rearrangement of electron shells within the field of a vacancy and of the processes of one-photon double excitation/ionization on the absolute values and the shapes of the differential cross sections of anomalous non-zero-angle elastic scattering of linearly polarized x-ray photons by the Ne atom and by the neon-like Si4+ and Ar8+ ions in the vicinity of K- and KL23-ionization thresholds is studied. The results of calculations for the Ne atom were found to be in agreement with the high-precision synchrotron radiation experiments by Coreno et al (1999 Phys. Rev. A 59 2494; K-ionization threshold) and by Avaldi et al (1996 J. Phys. B: At. Mol. Opt. Phys. 29 L737; KL23-ionization threshold). The results of calculations for the Si4+ and Ar8+ ions are predictions.
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