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Arrangement channel approach to exchange processes: Quasisymmetric and symmetric representations.

In this work are presented two new sets of integral equations for studying three-body exchange processes. The two are obtained from the Baer-Kouri-Levin-Tobocman approach by assuming the W matrix, via which the coupling is done, to be dependent on the internal coordinates of the system. In contrast to the channel permuting array structure of the original version of the Baer-Kouri-Levin-Tobocman equations, one set of equations is almost symmetric with respect to the different channels and the other is fully symmetric, thus ensuring a unitary S matrix. The first set of equations has already been solved for a three-channel, three-dimensional system, H+H/sub 2/ (J = 0), and has been found to yield the correct results. Connectivity, as related to these equations, is discussed.