Connection betweenBBPandVPPVertices in the Quark Model

Abstract

It is shown that in the quark model it is possible to express the ${N_{33}}^{*}$ $N\pi$ vertex and the $\rho \pi \pi$ vertex in terms of the axial-vector quark-pion coupling constant. By expressing then this constant in terms of the $\mathrm{NN}\pi$ coupling constant $f$, results in fair agreement with the experimental data are obtained for the above vertices. A detailed comparison of this calculation with that of Gürsey, Pais, and Radicati is made, illustrating the different points of view and the different assumptions of the two procedures.