INVESTIGADORES
MITNIK Dario Marcelo
artículos
Título:
On the applicability of the exterior complex scaling method for scattering problems including Coulombic potentials
Autor/es:
G. GASANEO; L.U. ANCARANI; D.M. MITNIK
Revista:
EUROPEAN JOURNAL OF PHYSICS
Editorial:
IOP PUBLISHING LTD
Referencias:
Lugar: Londres; Año: 2012 p. 91 - 104
ISSN:
0143-0807
Resumen:
We study some formal aspects of the exterior complex scaling (ECS) approach when imple-
mented for both short and long-range potentials. In particular, we focus on the inconsistencies related to
the requirement of an artificial cut-off of the potential in order to avoid exponential divergencies due to the
complex rotation. For the pure two-body Coulomb potential we demonstrate analytically and numerically
that the ECS inner solution is indeed the correct one, thus reinforcing the method; the extraction of the
transition amplitude, however, remains problematic. We also show that a consistent application of the ECS
method requires a distorted wave formulation, and two variants are proposed. Finally, we will propose an
approach equivalent to the original ECS but that avoids all formal difficulties. It is based on performing
the complex rotation on the basis functions rather than on the driven equation itself, and makes use of
Sturmian functions with appropriately chosen outgoing boundary conditions. Our proposal differs from
one of the original versions of the ECS method, through the use of physically based basis functions rather
than pure numeric ones.