Generalized Quantum Field Theory as an Alternative Approach To The Problem of Composite Particles Reaction

Abstract

A generalization of the Heisenberg algebra has been recently constructed. This generalized algebra has a characteristic function which depends on one of its generators. When this function is linear, $qJ_0+s$, it is possible to construct a Generalized Quantum Field Theory (GQFT) that creates at a space-time a composite particle.In the present work we show that a generalized QFT can also be constructed consistently, even with a nonlinear characteristic function and leads to better results as long as we have more parameters to (possibly) fit the spectrum of a real composite particle.