EmpiricalPotential and Castillejo-Dalitz-Dyson Poles in the Pion-NucleonState
- 19 May 1969
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 22 (20), 1081-1084
- https://doi.org/10.1103/physrevlett.22.1081
Abstract
The CERN phase-shift analysis is used to evaluate the left-cut term of the partial wave of pion-nucleon scattering. The inelastic equation is solved with this term and the elasticity as input. The output and input phase shifts agree below 2 BeV if and only if at least two Castillejo-Dalitz-Dyson poles are included in the canonical function. This result rules out single-channel bootstrap models and furnishes a constraint on many-channel models.
Keywords
This publication has 19 references indexed in Scilit:
- Calculation of theP11πNPhase Shift Using CoupledπN,σN, andεNChannelsPhysical Review B, 1968
- Generalized Potential for the Pion-Nucleon SystemPhysical Review B, 1968
- Analysis ofπNScattering Using Partial-Wave Dispersion Relations in theWPlanePhysical Review Letters, 1967
- Two-Channel Model ofP11 π−NPartial-Wave AmplitudePhysical Review B, 1967
- Effect of a Castillejo-Dalitz-Dyson Pole in theπNI=12,J=12+AmplitudePhysical Review B, 1967
- Pion-Nucleon Scattering in theP11StatePhysical Review B, 1966
- Is the Nucleon aπNBound State?Physical Review B, 1966
- Nucleon as a Composite Particle StatePhysical Review B, 1966
- NDCalculation with Inelastic Unitarity ofπNScatteringPhysical Review B, 1966
- Reciprocal Bootstrap Relationship of the Nucleon and the (3, 3) ResonancePhysical Review Letters, 1962