No abstract available

[en] The Borel summability method is applied to summing diverging Born series obtained from the Lippmann-Schwinger equation for the two-body T matrix with the confluent form of the epsilon-algorithm of Wynn with the Borel method is shown to yield a rapidly converging solution of the scattering equations of comparable accuracy to other standard methods

[en] The single homogeneous LS equation for the two-fragment scattering states, corresponding to the three-fragment Moeller operator, is obtained from any of the three LS equations corresponding to the two-channel Moeller operators, and vice versa. It is shown how the limit of the resolvent equations must be treated when approaching the real axis in the energy plane

[en] 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. It is given a simple derivation of the connectivity properties of the original equations as well as the structurally similar auxiliary equations. Finally, it is shown that the leading equations have the noteworthy property of being automatically connected without the need for iteration

[en] Exact dynamical equations, which couple the operators for transitions between two-cluster partitions of N particles, are analyzed. It is shown that the equations become connected under minimal conditions after N-2 iterations. Cluster models are studied and their detailed structure is examined in the case of the four- and five-body problems. (author)

[en] Starting from exact integral equations for many-body scattering, a subtraction technique is used to separate the two-cluster, ..., N-cluster parts of the integral kernels. One-vector variable integral equations (basic equations) is obtained having a coupled-reaction-channel-like structure together with a sequence of two-vector, ..., (N-1)-vector variable integral equations (auxiliary equations) with increasingly simple kernels, which can be successively solved starting from the last one. The solutions of the sequence of the auxiliary equations yield the effective interactions to be inserted into the basic equations. This formulation is highly flexible, so that different degrees of approximation can be readily introduced. (author)

[en] A simple direct derivation is presented of the natural distribution properties of the generalized residual interactions in the N-body problem. This proof is based on the technique of regarding as elementary particles the clusters of subpartitions contained in both the partitions occurring in the generalized residual interactions. (author)