Abstract
The three-body quantum scattering problem reduced by the expansion of the wavefunction over the specially constructed basis to a two-body problem is considered. The asymptotics of this basis, as well as the solutions of the effective two-body equations are derived. A total S-matrix for 2 → (2, 3) processes is expressed in terms of adiabatic amplitudes and vice versa.
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Kuperin, Y.A., Melnikov, Y.B. & Merkuriev, S.P. Total S-matrix and adiabatic amplitudes for the three-body problem. Lett Math Phys 21, 97–103 (1991). https://doi.org/10.1007/BF00401642
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DOI: https://doi.org/10.1007/BF00401642