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Basing on analogy between the three-body scattering problem and thediffraction problem of the plane wave (for the case of the short range pairpotentials) by the system of six half transparent screens, we presented a newapproach to the few-body scattering problem.  The numerical results have been obtained for the case of the short rangenonnegative pair potentials. The presented method allows a naturalgeneralization to the case of the long range pair potentials.

New approach to numerical computation of the eigenfunctions of the  continuous spectrum of three-particle Schr\"odinger operator. I.  One-dimensional particles, short-range pair potentials