arXiv:nucl-th/0302011·v1·Nuclear Theory
A schematic model for QCD I: Low energy meson states
S. Lerma (1)🇲🇽 · S. Jesgarz (1)🇲🇽 · P. O. Hess (1)🇲🇽 · O. Civitarese (2)🇦🇷 · M. Reboiro (2). ((1) Instituto de Ciencias Nucleares, UNAM, Mexico (2) Dept of Physics. Univ.of La Plata, Argentina.)🇦🇷
Abstract
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.
Comments: 29 pages, 6 figures. submitted to Phys. Rev. C