English

Remarks on the origin of Castillejo-Dalitz-Dyson poles

Nuclear Theory 2010-07-19 v2 High Energy Physics - Phenomenology

Abstract

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.

Keywords

Cite

@article{arxiv.1001.1659,
  title  = {Remarks on the origin of Castillejo-Dalitz-Dyson poles},
  author = {M. I. Krivoruchenko},
  journal= {arXiv preprint arXiv:1001.1659},
  year   = {2010}
}

Comments

5 pages REVTeX, 5 eps figures