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The leading asymptotic terms of the three-body Coulomb scattering wave function

A. M. Mukhamedzhanov·A. S. Kadyrov·F. Pirlepesov
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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 $(ρ_α \to \infty$, $r_α/ρ_α\to 0)$. The improved wave function satisfies the Schrödinger equation up to the terms of order $O(1/{ρ_α}^{3})$, 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 $3\to 3$ scattered wave. This opens up further ways of solving and analysing the three-body Schrödinger equation by numerical means.

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A. M. Mukhamedzhanov, A. S. Kadyrov, F. Pirlepesov. 2005-09-05. The leading asymptotic terms of the three-body Coulomb scattering wave function. https://doi.org/10.1103/physreva.73.012713

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