## Dispersion relation dynamics: A phenomenological introduction to S-matrix theory |

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### Contents

OUTLINE | 1 |

A3 Familiar functions and power series polynomials exponential functions | 12 |

A5 Complex integration Cauchys theorem applications of Cauchys theorem | 21 |

Copyright | |

15 other sections not shown

### Common terms and phrases

analysis analytic continuation analytic function analytic properties angle angular momentum argument asymptotic behaviour At(s baryon bound branch point calculations circle complex variable conserved contour convergence corresponding crossed channel define definition detail discuss dispersion relations dynamical elastic scattering elastic unitarity experimental exponential factor finite give helicity high energy imaginary important inelastic infinity integral interaction invariant isotopic spin kinematic kinematic singularities low energy mass meson momentum transfer n-n scattering N/D equations nucleon parameters parity partial wave amplitudes partial wave dispersion partial wave expansion particle exchange peak perturbation theory phase shift phenomenological Phys physical region pion pion-nucleon plane potential theory problem quantum real axis Regge poles relativistic require residue resonance right-hand cut rotation S-matrix S-matrix theory s-wave scattering amplitude scattering processes sheet shown in Fig simple solution spin strong interaction subtraction symmetry theorem threshold trajectories transformation unitarity usual w-channel width write z-plane zero