Theory of Self-Induced Strong Interactions

Abstract

A theory of strong interactions, based on the idea that each hadron is a composite of other similar hadrons, is constructed. The necessary concepts of composite-particle structure are defined in terms of linear relations between the vectors describing single-particle states and certain multiparticle vectors which are not energy eigenstates. The theory is not an $S$-matrix theory, but rather, it directly represents the instantaneous interactions and time development of a system of particles in terms of the interactions of the objects which make up the particles, namely, other similar particles. The Hamiltonian is constructed so as to propagate particles freely when they are far apart, and to provide the necessary binding forces to bind the composites when the particles are close. These same forces are, of course, responsible for the scattering and particle reactions which occur for colliding particles. All of this is done without the use of the local-field concept. The particle states used as a basis in the space of states describe fully clothed, "real" structures.