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Three-Body Scattering Below Breakup Threshold: An Approach Without Using Partial Waves

1999/03/31 by W. Schadow, Ch. Elster, W. Gloeckle +1 · 2 citations
Physics and Astronomy · #Atomic and Molecular Physics #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #nucl-th

paper · pdf · doi:10.1007/s006010070028

published as Few Body Syst. 28 (2000) 15-34 · 21 pages, 7 figures included, uses psfig, revised version

arxiv created 1999/07/29 · openalex publication_date 2000/05/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

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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