Solutions to the three-body collisions breakup: A Sturmians approach

We study the dynamics of a three-body collisions breakup process. We write the solution as a sum of a scattered wave function and a defined initial state, which leads to a non-homogeneous Schrödinger equation. The scattering term is expanded in a basis of positive energy Sturmian functions with outgoing wave boundary conditions. The non-homogeneous Schrödinger equation is transformed into an algebraic problem which is solved with standard matrix techniques. We show that our wave function converges and gives excellent results when compared with simple, exact analytical models.