Abstract
Recent work by Noble and collaborators has pointed out that wave function orthogonality in bound-state to continuum-state transitions can produce large cancellations in transition amplitudes. In single-channel examples, nonorthogonal wave functions (such as plane waves) were shown to greatly overestimate the exact results even at high energies. In this paper we examine a simple coupled-channel model which can be exactly solved for the many-channel scattering and bound wave functions. In such a model, the exact transition amplitude can be compared with standard plane-wave and distorted-wave approximations. Dispersive corrections are shown to be large and to persist even at high energies.NUCLEAR REACTIONS Orthogonality constraints on bound-continuum transitions in coupled-channel systems. Dispersive corrections to DWIA.
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