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Remarks on the origin of Castillejo-Dalitz-Dyson poles

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arxiv 1001.1659 v2 pith:7HJGVUGQ submitted 2010-01-11 nucl-th hep-ph

classification nucl-thhep-ph
keywords polesprimitivescastillejo-dalitz-dysonamplitudesassociatedboundconnectedcorrespond
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Tensor Resonance in $J/\psi J/\psi$ Scattering from Lattice QCD

    hep-lat 2025-05 conditional novelty 7.0 of 10

    A lattice QCD computation predicts a 2++ J/psi J/psi resonance with mass 6.54 GeV and width 0.54 GeV, identified with the X(6600) structure.

  2. $\eta_c\eta_c$ and $J/\psi J/\psi$ scatterings from lattice QCD

    hep-lat 2025-05 conditional novelty 6.0 of 10

    Lattice QCD predicts a broad J/psi J/psi 2++ resonance with mass about 6.54 GeV and width about 0.55 GeV, compatible with X(6600) and X(6400), plus a 0++ virtual state near threshold.

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