Coordinate asymptotic behavior of three-particle wave functions

A study is made of the coordfinate asymptotic behavior of the wave function for a system of three nonrelativistic partieles, allowance being made for $(3\to 3)$ processes. Attention is devoted primarily to twofold seattering effects, it is shown that in the parts of the configuration space where the formally constructed scattering amplitude becomes infinite the asymptotic behavior of the $(3\to 3)$ wave function can be described by means of a Fresnel ntegral.