Speaker
Description
Scattering problem for three-body systems is of great importance for many areas of physics. The complicated boundary conditions at large distances, especially for Coulomb potentials, are a major difficulty for studying of this problem [1]. While several methods have been developed for the solution to this problem, mathematically sound and computationally effective approaches are still in demand.
In this report, we present an approach based on splitting the reaction potential into a short-range part and a long range tail part to describe few-body scattering in the case of the Coulomb interaction [2,3]. The solution to the Schroedinger equation for the long range tail of the reaction potential is used as an incoming wave. This reformulation of the scattering problem into an inhomogeneous equation with asymptotic outgoing waves makes it suitable for solving with the exterior complex scaling technique. The potential splitting approach is illustrated with calculations of scattering processes in systems with non-zero angular momentum. The accuracy of the approach is analyzed.
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- M.V. Volkov, E.A. Yarevsky, S.L. Yakovlev, Europhys. Lett. 110, 30006 (2015).
- E. Yarevsky, S.L. Yakovlev, N. Elander, J. Phys. B: At. Mol. Opt. Phys. 50, 055001 (2017).
