A special treatment based on the highest division algebra, that of octonions and their split algebraic formulation is developed for the description of diquark states made up of two quark pairs. We describe symmetry properties of mesons and baryons through such formulation and derive mass formulae relating π, ρ, N and Δ trajectories showing an incredible agreement with experiments. We also comment on formation of diquark-antidiquark as well as pentaquark states and point the way toward applications into multiquark formulations expected to be seen at upcoming CERN experiments. A discussion on relationship of our work to flux bag models, string pictures and to string-like configurations in hadrons based on spectrum generating algebras will be given.
Catto, Sultan; Gürcan, Yasemin; Khalfan, Amish; and Kurt, Levent, "Algebraic Formulation of Hadronic Supersymmetry Based on Octonions: New Mass Formulas and Further Applications" (2014). CUNY Academic Works.