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

The asymptotic wave function derived by Alt and Mukhamedzhanov [Phys. Rev. A47, 2004 (1993)] and Mukhamedzhanov and Lieber [Phys. Rev. A54, 3078 (1996)] has been refined in the region where the pair (beta,gamma) remains close to each other while the third particle alpha is far away from them (rho(alpha)->infinity,r(alpha)/rho(alpha)-> 0). The improved wave function satisfies the Schrodinger equation up to the terms of order O(1/rho(3)(alpha)), 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 Schrodinger equation by numerical means.