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- W2070495414 abstract "We formulate the theory of three-body scattering without explicit reference to exact asymptotic boundary conditions on the wave function. The transition rate and amplitude are expressed as volume integrals of the resolvent, which are insensitive to the region of asymptotically large distances. The physical branch of the resolvent is selected through the arrow of time, which is required to point forward in each subchannel. This is accomplished by first expressing the resolvent as an integral over time and then making a conformal transformation of each half of the time plane onto a unit disk. The physical branch corresponds to a path of integration in the upper half of the disk. We have tested the method, using a real discrete basis, by calculating the total cross section for singlet $S$-wave electron impact ionization of atomic hydrogen; our results are in reasonable agreement overall with the landmark results of Bartlet and Stelbovics [Phys. Rev. Lett. 93, 233201 (2004)]." @default.
- W2070495414 created "2016-06-24" @default.
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- W2070495414 date "2009-07-21" @default.
- W2070495414 modified "2023-09-26" @default.
- W2070495414 title "Three-body scattering theory without knowledge of exact asymptotic boundary conditions" @default.
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- W2070495414 doi "https://doi.org/10.1103/physreva.80.012708" @default.
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