Abstract
Proceeding from the analytic continuation of the Lippmann-Schwinger integral equation onto the unphysical energy sheet, a new simple formula for the residue of the t-matrix in the pole on the unphysical sheet is derived. The formula expresses the residue in terms of the partial scattering amplitude at the corresponding energy point on the physical sheet. For the Yukawa type potential a new symmetry theorem for bound and virtual levels is proved. The theorem makes it possible to indicate the points on level trajectories which are mirror-symmetrical with respect to zero momentum.
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