Soliton Solutions of Coupled Field Equations and Suggestion of the "Soliton Bag" in Dynamical Particle Model

Abstract

Several exact and approximate solutions of the type are presented for the coupled field equations of a complex <P field (Schrodinger type or Klein-Gordon type) and a real ¢ field (Klein-Gordon type). The solutions never approach to asymptotic free fields in remote past and future or as the coupling constant goes to zero. Some of them can be explained as a sort of bound state in a certain running potential. It is suggested that the type solution with such properties would be useful for proper formulation of the confinement problem, in other words, we could construct a desir­ able dynamical particle model with the soliton bag. Prior to detailed discussion on the solutions we talk about various possibilities of making particle models in terms of the solitons.