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

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

Belfast

Conferencia; XXVII International Conference on Photonic, Electronic and Atomic Collisions; 2011

ICPEAC

s We study some formal aspects of the exterior complex scaling (ECS) approach when implemented for both short and long?range potentials. 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. When performing the exterior complex rotation, the exponential divergency requires the introduction of an artificial cut?off of the potential. For the pure Coulomb potential we present an analytical study of this procedure, identify some inconsistencies, and propose an alternative procedure which leads to a well-defined scattering problem.