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Castillejo-Dalitz-Dyson (CDD) poles are known to be connected with boundstates and resonances. We discuss a new type of CDD pole associated withprimitives i.e., poles of the P matrix that correspond to zeros of the Dfunction on the unitary cut. Low's scattering equation is generalized foramplitudes with primitives. The relationship between the CDD poles and theprimitives is illustrated by a description of the S-wave nucleon-nucleon phaseshifts.

Remarks on the origin of Castillejo-Dalitz-Dyson poles