ABSTRACT
A schematic model of QCD will be presented, which simulates the QCD at low energy. All elementary degrees of freedom like color, flavor and spin are taken into account. The quark part is described by two levels, one at positive and the other at negative energy (Lipkin model). The gluon part is described by a level at https://www.w3.org/1998/Math/MathML"> 1.6 G e V https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429076619/c00d8d0d-b3a0-431a-a3c2-e044ea15f7a5/content/eq5070.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> , representing pairs of gluons coupled to spin and color zero. An interaction between the levels is proposed. The meson and baryon spectrum is calculated. As a bonus, penta- and hepta-quark states are obtained without fitting. The second main contribution is related to the classification of the many particle meson like states https://www.w3.org/1998/Math/MathML"> ( q q ‾ ) n g m https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429076619/c00d8d0d-b3a0-431a-a3c2-e044ea15f7a5/content/eq5071.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> and baryon like states https://www.w3.org/1998/Math/MathML"> q 3 ( q q ‾ ) n g m https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429076619/c00d8d0d-b3a0-431a-a3c2-e044ea15f7a5/content/eq5072.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> .
