AN EQUATION FOR MESON STATES IN THE QUARK MODEL AND ITS APPLICATION TO A MESON BOOTSTRAP,

Abstract

A differential equation for meson states is derived from the Bethe-Salpeter equation under the conditions of the quark model. The equation is shown to imply mass relations of the form K (superscript *2) - rho (superscript 2) = K (superscript 2) - pi (superscript 2). The equation is used to attempt modified bootstrap calculations of the vector and pseudoscalar meson parameters in the quark model. A bootstrap is found for the SU3 singlet states but shown not to be possible for either the octet states or the entire Q-bar Q system. The potential is the Fourier transform of the sum of one meson exchange Feynman graphs, with a hard core radius r sub o introduced as an adjustable parameter.

Document Details

Document Type
Technical Report
Publication Date
Feb 20, 1968
Accession Number
AD0665663

Entities

People

  • Lawrence Gray King

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Mathematics

Fields of Study

  • Physics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.