Classification of three-particle states according to an orthonormal SU(3)⊇SO(3) basis

Publisher Website
Google Scholar
Abstract
In this paper we generalize Dragt’s approach to classifying three‐particle states. Using his formalism of creation and annihilation operators, we obtain explicitly a complete set of orthonormal functions YλμRLM on S5. This set of functions carries all the irreducible representations of the group SU(3) reduced according to SO(3). The YλμRLM, which are eigenvectors of the togetherness and angular momentum operators, have very simple properties under three‐particle permutations. We obtain also explicitly the coefficients ’’3ν’’ which reduce the products of these functions.