Helicity states for two- and three-gluon glueballs

The existence of glueball states remains an elusive subject. Significant effort, both theoretical and experimental, has been devoted to decide the question. In the current work, a constituent approach to Quantum Chromodynamics is developed to get information about the two- and three-gluon parts of the glueball spectrum. The results obtained are shown to be consistent with other resolution methods, such as Lattice QCD, as long as two helicity degrees-of-freedom are considered for the constituent gluons. A systematic procedure for handling helicity states in potential models is developed for two-body systems, and the generalisation to three-body problems is initiated.