The structural features of the leading and auxiliary equations obtained from a general multicluster reduction of the minimally connected N-body scattering equations are deduced from the properties of the chains of partitions linked by the interaction potentials. We give a simple derivation of the connectivity properties of the original equations as well as of the structurally similar auxiliary equations. Finally, we show that the leading equations have the noteworthy property of being automatically connected without the need for iteration
Structural properties of effective multicluster equations derived from N-body scattering theory
CATTAPAN, GIORGIO;
1983
Abstract
The structural features of the leading and auxiliary equations obtained from a general multicluster reduction of the minimally connected N-body scattering equations are deduced from the properties of the chains of partitions linked by the interaction potentials. We give a simple derivation of the connectivity properties of the original equations as well as of the structurally similar auxiliary equations. Finally, we show that the leading equations have the noteworthy property of being automatically connected without the need for iteration
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