Hyperspherical versus spherical treatment of asymptotic conditions for three-body scattering problems

J. M. RANDAZZO , D. M. MITNIK , L. U. ANCARANI, G. GASANEO, F. D. COLAVECCHIA AND A. L. FRAPICCINI

Belfast

Conferencia; XXVII International Conference on Photonic, Electronic and Atomic Collisions; 2012

We consider two different Sturmian Function (SF) expansions to describe three-body break-up wave functions having outgoing flux behavior: one in hyper-spherical coordinates (ρ and α) and one in spherical coordinates (r1 and r2 ). We compare the convergence rates of the two treatment, and relate the analysis to geometry aspects of the problem.