Abstract
The brief description of a new approach based on the Wave-Packet Continuum Discretization method recently developed by the present authors towards solving few-body quantum scattering problems is given. The formalism uses the complete continuum discretization scheme in terms of the momentum stationary wave-packet basis, which leads to formulation of the scattering problem on a lattice in the momentum space. The solution of the few-body scattering problem can be found in the approach from linear matrix equations with non-singular matrix elements, averaged on energy over lattice cells.
Highlights
For last decades a lot of different methods for treatment of the few-body scattering problems have been developed
The main part of existing L2 methods could not be treated as universal L2 formalism for the quantum few-body scattering theory and most of them are used in particular cases only
We have demonstrated here that the formulation of the quantum scattering problems in terms of a wave-packet lattice basis is a very convenient language of discretization and an effective tool for practical solutions
Summary
For last decades a lot of different methods for treatment of the few-body scattering problems have been developed. Along with effective direct techniques for solving Faddeev and Faddeev–Yakubovsky scattering equations [1,2,3,4], many alternative approaches using L2 type wave functions for a description of processes in continuum have been proposed [5,6,7,8,9,10,11,12,13] Nowadays such L2 methods become very actual because most of them allow to formulate the scattering problems in terms of matrix equations and make the solution of few-body scattering to be quite similar to the treatment of bound state problems.
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