New treatment of breakup in few-body systems

Abstract

A new approach to determining breakup amplitudes in few-body systems in the context of a Faddeev formalism based on lattice discretization of a continuum is described. Due to such discretization and use of finite-dimensional representations for all operators in the kernels of integral equations, breakup in few-body systems is interpreted as a partial case of multi-channel scattering and corresponds to transitions between the states of the discretized continuum of an asymptotic channel Hamiltonian. The case study is based on amplitudes of three-nucleon breakup n + d → n + n + p with semi-realistic NN interaction potentials.