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

为了从理论上理解强子的性质，人们已经做了很多努力。尽管所谓的蒙特卡罗模拟显示了强子的一些基本性质，但关于轻夸克组成的强子的信息到目前为止还没有得到。在这项研究中，作者建立了光锥坐标下的量子色动力学(QCD)。强子是夸克和胶子的束束态，根据Tamm-Dancoff振幅展开。用相对论的方法处理强子态，定量地计算了强子的能量、波函数、寿命和Deacy宽度，并在二维时空的光锥坐标下建立了QCD，以降低光场的任意度。最低能量介子被展开，包括一个夸克-反夸克对和两个夸克-反夸克对。利用个人计算机对束缚态能进行了数值研究。结果将出现在《SoryushIron Kenkyu》上。

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".