A schematic model for QCD I: Low energy meson states

Details A schematic model for QCD I: Low energy meson states A schematic model for QCD I: Low energy meson states

2003-02-05

arxiv.org/abs/nucl-th/0302011v1

Phys.Rev.C67:055209,2003

Physics

Nuclear Physics

Nuclear Theory

29 pages, 6 figures. submitted to Phys. Rev. C

Scientific paper

10.1103/PhysRevC.67.055209

A simple model for QCD is presented, which is able to reproduce the meson spectrum at low energy. The model is a Lipkin type model for quarks coupled to gluons. The basic building blocks are pairs of quark-antiquarks coupled to a definite flavor and spin. These pairs are coupled to pairs of gluons with spin zero. The multiplicity problem, which dictates that a given experimental state can be described in various manners, is removed when a particle-mixing interaction is turned on. In this first paper of a series we concentrates on the discussion of meson states at low energy, the so-called zero temperature limit of the theory. The treatment of baryonic states is indicated, also.

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