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.
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freeman1969physicalstatic Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors
Journal physical review
Year 1969
DOI
doi:10.1103/PhysRev.188.2426
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