Existence of N and D Matrices

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Abstract
This paper establishes the existence of N and D matrices with the property that the partial‐wave T matrix has the form T = ND−1. We consider the case of a finite number of two‐body channels and prove that, if T is analytic with right‐ and left‐hand cuts and is suitably bounded, then N and D can be constructed with all the usual properties—namely, N and D have the left‐ and right‐hand cuts, respectively, N is finite at the bound‐state poles, and D tends to one as the energy goes to infinity.