KeywordsRelativistic quantum mechanics, 3-body system, glueball
The quantum chromodynamics allows the existence of bound states with two and three gluons, the qlueballs. Several big experiments are about to start with their production as the main objective. The study of these states can be performed within the relativistic quantum mechanics, provided it is considered that gluons have no spin degrees of freedom of, but helicity degrees of freedom. If the two-body helicity formalism is well known, the three-body one does not yet exist in a usable formulation for calculations.
The project is to write a three-body helicity formalism to calculate the properties of three-gluon states. Then, the three-body equations must be resolved by appropriate numerical methods.