We calculate the decay rate for the process $X\to \eta \pi \pi$ in a chiral SU(4)⊗SU(4) model. The presence of two $I=0\mathrm{}$, $Y=0\mathrm{}$ Goldstone particles in the symmetry limit allows us to extend partially conserved axial-vector current to both $\eta$ and $X$ fields. The rate is calculated purely in terms of the symmetry-breaking parameters of the model, under the assumption that the symmetry is broken by the (4*,4) ⊕ (4,4*) representation. We find that the calculated rate is well below the expected experimental rate for reasonable values of the symmetry-breaking parameters.

• Received 6 December 1973

DOI:https://doi.org/10.1103/PhysRevD.10.1613