On the applicability of the Exterior Complex Scaling method for scattering problems including Coulombic potentials.

L. U. ANCARANI, G. GASANEO AND D. M. MITNIK

Salt Lake City

Conferencia; 64rd Gaseous Electronics Conference; 2011

We study some formal aspects of the exterior complex scaling approach when implemented for both short and long-range potentials. The method requires an artificial cut-off of the potential in order to avoid exponential divergencies. Preserving the cut-off strategy, we propose alternative proposals to the ECS recipe which lead to a welldefined scattering problem. For a Coulombic long-range two-body potential we carefully analyze the use of a free wave function as asymptotic term, and then propose two variants of distorted?wave reformulation. A numerical illustration is provided. We then study in detail the cut-off procedure and identify some inconsistencies. To avoid them a proposal is put forward and its efficiency is demonstrated with analytical solutions for the pure Coulomb potential. X Prefer Oral Session Prefer Poster