Three-Body Scattering Below Breakup Threshold: An Approach Without Using Partial Waves |
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| Authors: | W Schadow Ch Elster W Glöckle |
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| Institution: | Institute of Nuclear and Particle Physics, and Department of Physics, Ohio University, Athens, OH 45701, USA, US
Institut für Theoretische Physik II, Ruhr-Universit?t Bochum, D-44780 Bochum, Germany, DE
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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.
Received March 9, 1999; revised July 29, 1999; accepted for publication September 6, 1999 |
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