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Three-Body Scattering Below Breakup Threshold: An Approach without using Partial Waves

W. Schadow·Ch. Elster·W. Gloeckle
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Abstract

The Faddeev equation for three-body scattering below the three-body breakup threshold is directly solved without employing a partial wave decomposition. In the simplest form it is a three-dimensional integral equation in four variables. From its solution the scattering amplitude is obtained as function of vector Jacobi momenta. Based on Malfliet-Tjon type potentials differential and total cross sections are calculated. The numerical stability of the algorithm is demonstrated and the properties of the scattering amplitude discussed.

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W. Schadow, Ch. Elster, W. Gloeckle. 1999-07-29. Three-Body Scattering Below Breakup Threshold: An Approach without using Partial Waves. https://doi.org/10.1007/s006010070028

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