The $\mathrm{SU}\left(6\right)\mathrm{}$ symmetry is applied to derive the sum rules between the decay amplitudes of decuplet baryon resonances, in the presence of symmetry-breaking interactions. We obtain two relations. The first is the same relation as in the complete $\mathrm{SU}\left(3\right)\mathrm{}$ symmetry and is known to be well satisfied experimentally. Experimental fit of the second shows 1.4 standard deviations, while that of the corresponding relation of complete $\mathrm{SU}\left(3\right)\mathrm{}$ symmetry shows 5 standard deviations.

• Received 28 December 1964

DOI:https://doi.org/10.1103/PhysRev.138.B1193