AMPLITUDE BOUND IN LADDER GRAPH MODELS. II,

Abstract

A procedure described earlier for bounding laddergraph scattering amplitudes is applied here to two models: exchange of pairs of scalar particles (bubbles), and exchange of vector particles. The forward-scattering absorptive amplitudes are bounded from above. Apart from logarithmic factors, the correct amplitudes are known to grow with energy like S alpha, and our results determine upper bounds on the exponents alpha. For case where the exchanged particles are massless, our upper bounds in fact coincide with the exact results for alpha as given in the literature. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 02, 1964
Accession Number
AD0617210

Entities

People

  • George Tiktopoulos
  • S. B. Treiman

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Backscattering
  • Electromagnetic Scattering
  • Forward Scattering
  • Literature
  • Particles
  • Scattering

Fields of Study

  • Physics

Readers

  • Aerosol Science/Aerosol Physics
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Graph Algorithms and Convex Optimization.