Formal Problems in the Theory of Dissociative Attachment and Recombination

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Abstract
A brief history of the theoretical work on the problem of dissociative attachment and recombination is given. Formal difficulties concerning the joining of resonance states and asymptotic physical states in some previous theories are pointed out. A new development using projection-operator techniques and eliminating these difficulties is given. The new equations yield a different physical interpretation of the process. The first step is a capture into a resonance intermediate state as in previous theories, but now a subsequent transition of the Landau-Zener type is necessary for a stabilization of the process. This is a new feature not present in previous theories. A reason why previous theories which do not contain this new feature can give the same numerical results as this one is given.