Divergence of the Distorted-Wave Born Series for Rearrangement Scattering
K. R. GreiderCrocker Nuclear Laboratory, University of California, Davis, CaliforniaL. R. DoddCrocker Nuclear Laboratory, University of California, Davis, California
1966en
ABI
Abstract
The convergence of the Born-series solution for the exact, three-body scattering amplitude for rearrangement processes is investigated in the framework of the distorted-wave formalism. An integral equation for the three-body scattering operator is derived, such that the inhomogeneous term is just the "direct" or the distorted-wave Born term. It is shown that the iterative solution to this integral equation diverges, since the kernel of the equation contains three-particle disconnected diagrams, and is therefore not completely continuous. As a consequence, the distorted-wave Born term must be questioned as the lowest order approximation to the exact amplitude.
Identifiers
Citations and references
Cited by 20 references