Abstract
Nonlinear Dirac equation with 'color' SU (3) symmetry is investigated in three space dimensions. It is shown that if the fundamental field 'If also consists of doublets of 'flavor', there exist non-topological soliton solutions with vanishing 'color' charges. Some of them are stable in the sense that their energies are smaller than those of free field solutions, Qm, where Q is the non-topological charge and m is the mass of 'If. In the present article, we shall find soliton solutions of a nonlinear Dirac equation in one time and three space dimensions. Giving the 'color' SU(3) sym metry credit for a fundamental role in the 'quark' dynamics, we, in general, start a discussion from the equation of motion (1)
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