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- W2017487718 abstract "We derive momentum-transfer dispersion relations by showing that at fixed impact energy the electron-atom differential cross sections are analytic functions of the momentum transfer squared ${mathit{K}}^{2}$ in a complex plane cut from -ensuremath{infty} to 0, along the real axis. It is therefore natural to introduce sets of interpolating rational functions of ${mathit{K}}^{2}$ to fit experimental data. The most suitable are the Pad'e approximations. We find that the zeros and the poles of these approximations split into two families. One family is made of poles and zeros that sit on the cut, yielding a good simulation of it. The other family takes care of the noise in the data: poles and zeros appearing in pairs very near each other. We can therefore first filter the noise by eliminating those pairs. Among the remaining poles, one pole is extremely near ${mathit{K}}^{2}$=0 for the inelastic differential cross sections. We apply this technique to recompute both elastic and inelastic cross sections for Xe, Kr, and Ar atoms, at impact energies of 100, 400, and 500 eV. In this way, we get the optical oscillator strength for two optically connected states. Our results are compared with other experimental as well as theoretical results." @default.
- W2017487718 created "2016-06-24" @default.
- W2017487718 creator A5037311716 @default.
- W2017487718 creator A5056837599 @default.
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- W2017487718 date "1994-05-01" @default.
- W2017487718 modified "2023-10-16" @default.
- W2017487718 title "Momentum-transfer dispersion relations for electron-atom cross sections" @default.
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- W2017487718 doi "https://doi.org/10.1103/physreva.49.3366" @default.
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