A Lie group framework for composite particles and mass spectrum

Abstract

We propose a concept of internal structure and a relativistically covariant method of unifying the external and internal structures, leading to a dynamical Lie algebra without superfluous generators. In this framework we study in more detail a Lie algebra unifying external space with an internal 3-space, and several representations which describe models of composite particles and give rise to various mass formulas capable of describing the hadron spectrum; we make use of both unitary irreducible global representations and partially integrable, Schur-irreducible, symmetric local representations.