Calculation of Ionization Amplitudes by the Complex-Energy Method

Abstract

It is shown that, as the complex energy approaches its real physical value, the dominant part of the amplitude for ionization derived from the Faddeev equations is a product of a known singular factor and the physical scattering amplitude. This information suggests a method of calculating ionization amplitudes from the Faddeev equations. Corrections to the dominant term for this and another amplitude are discussed. Some numerical tests of the method as applied to a simple model are given.