FADDEEV EQUATIONS FOR THE K TO 3PION AMPLITUDE.

Abstract

Integral equations for the three pion decay amplitude of the K-meson are derived in the context of a potential scattering model. Non local S- and P-wave separable potentials are used. Some numerical solutions are presented. The shapes of the decay spectra are found to be independent of the potential. The connection with the integral equations of Khuri and Treiman is discussed. A zero range approximation requires that A exp 2 sub 2 > A exp 2 sub 0 data. Some aspects of three body states in the presence of a resonance are investigated. No observable effects of a triangle singularity are found for the cases considered. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1966
Accession Number
AD0637252

Entities

People

  • I. M. Barbour
  • R. L. Schult

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Diffraction
  • Electromagnetic Scattering
  • Equations
  • Integral Equations
  • Integrals
  • Kaons
  • Mathematics
  • Mesons
  • Potential Scattering
  • Resonance
  • Scattering
  • Spectra
  • Triangles

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Solar Physics