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

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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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Authors and Affiliations

  1.  Institute of Nuclear and Particle Physics, and Department of Physics, Ohio University, Athens, OH 45701, USA, , , , , , US

    W. Schadow & Ch. Elster

  2.  Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany, , , , , , DE

    W. Glöckle

Authors
  1. W. Schadow
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  2. Ch. Elster
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  3. W. Glöckle
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Received March 9, 1999; revised July 29, 1999; accepted for publication September 6, 1999

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Schadow, W., Elster, C. & Glöckle, W. Three-Body Scattering Below Breakup Threshold: An Approach Without Using Partial Waves. Few-Body Systems 28, 15–34 (2000). https://doi.org/10.1007/s006010070028

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  • DOI: https://doi.org/10.1007/s006010070028

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