Using the technique of Fubini and Furlan we extend the algebraic relations for chiral $\mathrm{SU}\mathrm{}\left(2\right)\mathrm{}\otimes \mathrm{SU}\mathrm{}\left(2\right)\mathrm{}$ obtained by Weinberg to the larger algebra formed by including tensor charges. Hence, we deal with the "good" charges of SU(12). The relations we derive are algebraic conditions for vector-meson-hadron decay amplitudes. These conditions enable one to obtain relation-ships between states of different helicity.

• Received 13 June 1973

DOI:https://doi.org/10.1103/PhysRevD.9.996