A Lie algebra containing both the Poincaré and SU(6) algebras as subalgebras is abstracted from a Clifford algebra generated by seven elements. In a state in which the internal-symmetry quantum numbers are definite, the mass has a continuous spectrum peaked about certain values, and may be discrete in a few special states. An exact formula for the average squared mass is obtained which contains the Gell-Mann-Okubo expression in a natural way, and which also includes terms that correctly split the mass within isospin multiplets.

• Received 20 August 1974

DOI:https://doi.org/10.1103/PhysRevD.11.572