Studies on the bound states by the use of Light Cone Tamm-Dancoff Approximation.

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Many efforts have been made in order to understand the properties of hadron, theoretically. Though, so called Monte Carlo simulations exhibited some basic properties of hadrons, informations on the hadron consisted from light quarks have not obatined so far.In this research, the present author have formulated Quantum Chromo Dynamics (QCD) in the light cone coordinates. The hadrons, which are the bound states of quarks and gluons, are expanded in terms of Tamm-Dancoff amplitudes. The aim of the author was to treat hadron states relativistically and to evaluate the energies, the wave functions, the life times and the deacy widths of the hadrons quantitatively.The author have formulated QCD in the light cone coordinates in two dimensional space-time in order to reduce the degree of treedom of the fields. The lowest energy meson was expanded including one quark-antiquark pair and two quark-antiquark pairs. The bound state enrgy was investigated numelically by the use of the personal computer. The results will be appeared in "Soryushiron Kenkyu".