Static Model Using Crossing-Symmetric Off-Shell Equations Satisfying Two-Particle Unitarity

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ID: 270185
1969
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Abstract
Off-shell equations for the ${\ensuremath{\pi}}^{\ensuremath{-}}p$ and ${\ensuremath{\pi}}^{+}p$ elastic scattering amplitudes are derived for a static model, based on charged scalar theory. These amplitudes satisfy elastic unitarity below the three-particle cut and are related by crossing symmetry. The equations are solved numerically in the bound-state region for the entire range of coupling, and the results compared with the known results of charged scalar theory. In particular, calculations of the bound-state ${N}^{++}$ are reasonable. Possible extensions to more realistic models are discussed.
Reference Key
freeman1969physicalstatic Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors David F. Freeman;Gerald R. North;Morton H. Rubin;
Journal physical review
Year 1969
DOI
doi:10.1103/PhysRev.188.2426
URL
https://doi.org/10.1103/physrev.188.2426
Keywords
static model crossing symmetric two particle satisfying two equations satisfying particle unitarity using crossing

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