Quasi-Sturmian approach to the three-body continuum Coulomb problem

S. ZAYTSEV; GUSTAVO GASANEO

Journal of Atomic and Molecular Sciences

Global Science Press

Lugar: Hong Kong; Año: 2013 vol. 4 p. 302 - 320

2075-1303

The scattering problem of three particles interacting via Coulomb potentials is studied using generalized parabolic coordinates. The scattering solutions are obtained by solving a driven equation. The perturbation operator appearing in the driven term is the non-orthogonal part of the kinetic energy operator. The approximated solution appearing in the driven term is the product of two two-body Coulomb wave functions. As a test for our proposal, a simple two-dimensional model problem has been solved numerically by using so called parabolic quasi-Sturmian basis representation. Convergence of the solution has been obtained as the basis set is enlarged.