A complete decoupling of Faddeev-like equations for three arrangement systems; applications to HH 2 collision

Abstract

A complete decoupling of time-dependent Faddeev-like equations for three identical particles is presented in terms of an operator formalism. No restriction to pairwise additive interaction needs to be made. Our decoupled equations can be looked at as being a generalization of the special decoupled versions of Faddeev and Lovelace in so far as they include all irreducible representations of the permutation group S 3. Thus, the new equations also apply to three composite particles of any spin. An application is made for the system composed of three H-atoms. In particular we show how the cross sections of ortho—para transitions are directly related to the transition operators obtained from the decoupled equations.