15-plet dominance of SU(4) symmetry breaking and the charmed baryon spectrum

Abstract

The masses of charmed baryon states are predicted under the hypothesis of 15-plet dominance of SU(4) symmetry breaking, the analogue of octet dominance of SU(3) symmetry breaking. The breaking of SU(3) is completely determined by the masses of non-charmed baryons; to complete the specification of parameters, two independent charmed baryon masses are required. For this purpose, data from the Fermilab experiment of Knapp et al. (see Phys. Rev. Lett., vol.37, p.882 (1976)) are used. The 15-plet dominance hypothesis is then compared with other symmetry breaking schemes.