Analytic Continuation of the Off-Energy-Shell Scattering Amplitude

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Abstract
It is shown that the two‐body scattering amplitude 〈k| T(E) |k′〉 may be analytically continued in E through the physical cut into a region of meromorphy, provided that the potential satisfies certain requirements. The residue at a pole is a separable operator whose form agrees with previous work. The proof also demonstrates the existence of a region of meromorphy of 〈k| T(E) |k′〉 as a function of seven complex variables.

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