An analytically solvable model to test the hyperspherical Sturmian approach for break up processes

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

Paris

Conferencia; 63rd Gaseous Electronics Conference; 2010

In this paper an analytically solvable model for break up processes is presented. The scattering process is represented by a non-homogeneous Schrödinger equation where the driven term is given by a Yukawa-like interaction multiplied by the product of a continuum wave function and a bound state in the coordinates of particles. The closed form solution is derived in hyperspherical coordinates. An analytic expression for the transition amplitude associated to the scattering process is also provided. This model is used to test the calculation performed within the frame of Sturmian approach for collisional problem recently developed.