Partially conserved axial-vector current condition in the quark model:GAGVfor vector mesons and theωρπcoupling constant

The PCAC (partially conserved axial-vector current) condition is implemented at the quark level for hadrons considered as bound states of constituent quarks. Using the Goldberger-Treiman relation and the $\omega \rho \pi$ coupling constant, it is shown that $\frac{G_A}{G_V}$ for the $\omega \to \rho$ Gamow-Teller transition is lower than the quark-model prediction by 20%. This supports the current view that $\frac{G_A}{G_V}$ for bound quarks is reduced by confinement effects. With this reduction, the decay rates $\Gamma (D^{*}\to D{\pi }^0)$ are calculated and found to be more or less in agreement with measurements.