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

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

1999-03-08

arxiv.org/abs/nucl-th/9903020v2

Few Body Syst. 28 (2000) 15-34

Physics

Nuclear Physics

Nuclear Theory

21 pages, 7 figures included, uses psfig, revised version

Scientific paper

10.1007/s006010070028

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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