Analytical Expressions for the Total Elastic Cross Section of Electron Scattering by Thomas—Fermi—Dirac and Hartree—Fock Atom

1965 ◽  
Vol 42 (4) ◽  
pp. 1462-1463
Author(s):  
T. Tietz
Keyword(s):  
Cross Section ◽  
Electron Scattering ◽  
Elastic Cross Section ◽  
Thomas Fermi ◽  
Hartree Fock ◽  
Analytical Expressions

scholarly journals Low-Energy Electron Scattering by CS2 Molecules

2000 ◽  
Vol 53 (6) ◽  
pp. 785 ◽  
Author(s):  
Márcio H. F. Bettega
Keyword(s):  
Cross Section ◽  
Electron Scattering ◽  
Bound State ◽  
Elastic Cross Section ◽  
Low Energy ◽  
Energy Electron ◽  
Shape Resonance ◽  
Low Energy Electron

We report the integral elastic cross section for low-energy electron scattering by CS2 molecules. To perform our calculations we used the Schwinger multichannel method with pseudopotentials.We have found, in a static-exchange calculation, a shape resonance around 1 eV that belongs to the Π u symmetry.With the inclusion of polarisation effects only in that symmetry, we show that the resonance becomes a bound state. This result is in agreement with other results available in the literature.

ON THE t(d, n)α REACTIVITY IN FUSION REACTORS

1989 ◽  
Vol 04 (22) ◽  
pp. 2101-2112 ◽  
Author(s):  
K. LANGANKE ◽  
C. ROLFS
Keyword(s):  
Energy Range ◽  
Cross Section ◽  
Thermal Equilibrium ◽  
Electron Screening ◽  
Fusion Reactors ◽  
Cross Section Data ◽  
Fermi Model ◽  
Thomas Fermi ◽  
Hartree Fock ◽  
Section Data

We argue that the most accurate t(d, n)α cross section data obtained by the Los Alamos group are enhanced at energies smaller than Ecm≈16 keV due to screening effects caused by the electrons present in the target. We show that these data in the energy range Ecm=16–70 keV can be well reproduced by a single Breit-Wigner resonance formula which, however, disagrees with the data at lower energies. Consistently the observed deviations can be associated with electron screening effects where the latter are estimated within the Thomas-Fermi model or a static Hartree-Fock approach. Adopting the present Breit-Wigner fit to the data at Ecm≥16 keV , we have calculated the reactivity of a d+t plasma at thermal equilibrium in the temperature range kT<10 keV as it might be important for future fusion reactors.

scholarly journals Electron scattering cross-sections for particle transport modeling in a weakly ionized air plasma

2021 ◽  
Vol 51 ◽  
pp. 96-111
Author(s):  
Vasily Sergeevich Zakharov ◽  
Mikhail Evgenievich Zhukovskiy ◽  
Sergey Vasilievich Zakharov ◽  
Mikhail Borisovich Markov
Keyword(s):  
Elastic Scattering ◽  
Cross Section ◽  
Electron Scattering ◽  
Cross Sections ◽  
Electron Interaction ◽  
Inelastic Electron ◽  
Neutral Atoms ◽  
Hartree Fock ◽  
Wide Range ◽  
The Cross

Data on processes of electron scattering on ions and neutral atoms are required in fundamental studies and in applied research in such fields as astro- and laser physics, low density plasma simulations, kinetic modeling etc. Experimental and computational data on elastic and inelastic electron scattering in a wide range of electron energies is available mostly for the electron interaction with neutral atoms, but are very limited for the scattering on ions, notably for elastic processes. In present work the calculational approaches for the cross-section computation of electron elastic and inelastic scattering on neutral atoms and ions are considered. The atomic and ion properties obtained in quantum-statistical Hartree-Fock-Slater model are used in the direct computation of electron elastic scattering and ionization cross-sections by a partial waves method, semiclassical and distorted-wave approximations. Calculated cross-sections for elastic scattering on nitrogen and oxygen atoms and ions, and electron ionisation cross-sections are compared with the available experimental data and widely used approximations and propose consistent results. Considering applicability of Hartree-Fock-Slater model in wide scope of temperatures and densities, such approach to the cross-section calculation can be used in a broad range of energies and ion charges.

QUASI-ELASTIC ELECTRON SCATTERING: CURRENT RESULTS, CURRENT PROBLEMS

1993 ◽  
Vol 02 (04) ◽  
pp. 845-854
Author(s):  
J.P. ADAMS ◽  
B. CASTEL
Keyword(s):  
Nuclear Structure ◽  
Cross Section ◽  
Electron Scattering ◽  
Large Degree ◽  
Elastic Cross Section ◽  
Elastic Electron ◽  
Elastic Electron Scattering ◽  
Complex Processes ◽  
Theory And Experiment

We present a review of theories presently available for describing quasi-elastic electron scattering in both longitudinal and transverse channels. It is argued that calculations that limit their domain to the effects of nuclear structure in a nonrelativistic regime are capable of reconciling theory and experiment in the region of the peak of the quasi-elastic cross-section and thus to a large degree abrogate the need to consider more complex processes.

The Elastic Scattering of Low Energy Electrons in Thomas-Fermi Theory

1971 ◽  
Vol 26 (6) ◽  
pp. 1054-1057 ◽  
Author(s):  
T. Tietz
Keyword(s):  
Elastic Scattering ◽  
Total Cross Section ◽  
Cross Section ◽  
Scattering Length ◽  
Low Energy ◽  
Fermi Theory ◽  
Thomas Fermi ◽  
Low Energy Electrons ◽  
Analytical Expressions

Abstract A detailed study has been made of the elastic scattering of lew-energy electrons in Thomas-Fermi Theory. The analytical expressions which have been obtained for the scattering length a and the total cross section o are illustrated numerically.

Elastic Scattering of Slow Electrons by Lithium Atoms in the Polarized-Orbital Approximation

1971 ◽  
Vol 49 (12) ◽  
pp. 1670-1679 ◽  
Author(s):  
Bui Tien Dai ◽  
A. D. Stauffer
Keyword(s):  
Cross Section ◽  
Elastic Cross Section ◽  
Wave Functions ◽  
Orbital Method ◽  
Close Coupling ◽  
Hartree Fock ◽  
Resonance Behavior ◽  
Orbital Approximation ◽  
Slow Electrons ◽  
Good Agreement

We have calculated the low energy elastic cross section for electrons incident on lithium atoms via the polarized-orbital method proposed by Temkin. The only further approximations made are the exclusion of core polarization and the use of frozen core Hartree–Fock wave functions. Quite good agreement with previous close-coupling calculations are obtained in the energy range 0.5–3 eV. Surprisingly, the threshold resonance behavior predicted by the close-coupling results is obtained when exchange is neglected, but not when the full polarized-orbital method is used.

The total elastic cross section for electron scattering from SF6

2000 ◽  
Vol 33 (8) ◽  
pp. L309-L315 ◽  
Author(s):  
Hyuck Cho ◽  
Robert J Gulley ◽  
Stephen J Buckman
Keyword(s):  
Cross Section ◽  
Electron Scattering ◽  
Elastic Cross Section
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