Linked Cluster Decomposition of anSMatrix

Open Access
Publisher Website
Google Scholar
Abstract
An S matrix for potential scattering is decomposed into an infinite product form with each factor representing the contributions from ”linked clusters”. The linked clusters are defined in the framework of the time-dependent formal scattering theory as multifold commutators of the time-dependent interaction Hamiltonian. It is emphasized that in dealing with high-energy scattering by a smooth potential the linked cluster decomposition provides us with rapid convergence. In fact even the first approximation (“one-body” cluster contribution) is shown to be a geometrical generalization to the ordinary eikonal approximation. The convergence is tested numerically for Yukawa potentials.

This publication has 0 references indexed in Scilit: