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

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 (ρ_α→∞,r_α∕ρ_α→0). The improved wave function satisfies the Schrödinger equation up to the terms of order O(1∕ρ_α³), 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.