Remarks on the origin of Castillejo-Dalitz-Dyson poles

Details Remarks on the origin of Castillejo-Dalitz-Dyson poles Remarks on the origin of Castillejo-Dalitz-Dyson poles

2010-01-11

arxiv.org/abs/1001.1659v2

Phys.Rev.C82:018201,2010

Physics

Nuclear Physics

Nuclear Theory

5 pages REVTeX, 5 eps figures

Scientific paper

10.1103/PhysRevC.82.018201

Castillejo-Dalitz-Dyson (CDD) poles are known to be connected with bound states and resonances. We discuss a new type of CDD pole associated with primitives i.e., poles of the P matrix that correspond to zeros of the D function on the unitary cut. Low's scattering equation is generalized for amplitudes with primitives. The relationship between the CDD poles and the primitives is illustrated by a description of the S-wave nucleon-nucleon phase shifts.

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