Leading asymptotic terms of the three-body Coulomb scattering wave function

Mukhamedzhanov, A., Kadyrov, A. and Pirlepesov, F. (2006) Leading asymptotic terms of the three-body Coulomb scattering wave function. Physical Review A - Atomic, Molecular, and Optical Physics, 73 (1).

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Abstract

The asymptotic wave function derived by Alt and Mukhamedzhanov Phys. Rev. A 47 2004 (1993)] and Mukhamedzhanov and Lieber Phys. Rev. A 54 3078 (1996)] has been refined in the region where the pair (β,γ) remains close to each other while the third particle α is far away from them (ρα→∞,rα∕ρα→0). The improved wave function satisfies the Schrödinger equation up to the terms of order O(1∕ρα3), provides the leading asymptotic terms of the three-body scattering wave function with Coulomb interactions, and gives further insight into the continuum behavior of the three-charged-particle wave function, and helps to obtain the 3→3 scattered wave. This opens up further ways of solving and analyzing the three-body Schrödinger equation by numerical means.