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Low energy inverse problems in three-body scattering

arXiv:math/0110177 · doi:10.1088/0266-5611/18/3/313

Abstract

We consider low energy inverse problems in three-body scattering and show that if all unknown interactions are small in an appropriate sense then the 2-cluster to 2-cluster S-matrices given at low energies determine the Fourier transform of the effective interaction in a ball.

19 pages, no figures