Abstract
For the two-particle case it is shown that under suitable conditions on the potential the Weinberg method works also in the lower k-plane, i.e. the series of separable kernels converges if the individual terms can be continued. The individual terms may have singularities which cancel in the series. Further singularities correspond to those of the continued Jost function. We treat the square well as an example and find that in this case the different eigenvalues of the Lippmann-Schwinger kernel are given by one analytic function evaluated on different sheets.
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