Solving the Coulomb scattering problem using the complex-scaling methodM. V. Volkov1, 2, N. Elander1, E. Yarevsky2 and S. L. Yakovlev2
1 Department of Physics, AlbaNova University Center, Stockholm University - 106 91 Stockholm, Sweden, EU
2 Department of Computational Physics, St. Petersburg State University - 198504 St. Petersburg, Russia
received 18 November 2008; accepted in final form 6 January 2009; published February 2009
published online 2 February 2009
We present a rigorous formalism for solving the scattering problem for long-range interactions without using exact asymptotic boundary conditions. The long-range interaction may contain both Coulomb and short-range potentials. The exterior complex-scaling method, applied to a specially constructed inhomogeneous Schrödinger equation, transforms the scattering problem into a boundary problem with zero boundary conditions. The local and integral representations for the scattering amplitudes have been derived. The formalism is illustrated with numerical examples.
03.65.Nk - Scattering theory.
34.80.Bm - Elastic scattering.
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