Strange Mesonic Transition Form Factor in the Chiral Constituent Quark Model

Abstract

The form factor $g_{\rho \pi }^{(S)}(Q^2)$ of the strange vector current transition matrix element $<ρ| \bar{s}γ_\mus|π>$ is calculated within the chiral quark model. A strange vector current of the constituent $U$- and D-quarks is induced by kaon radiative corrections and this mechanism yields the nonvanishing values of $g_{\rho \pi }^{(S)}(0)$. The numerical result at the photon point is consistent with the one given by the $\varphi$-meson dominance model, but the fall-off in the $Q^2$-dependence is faster than the monopole form factor. Mesonic radiative corrections are also examined for the electromagnetic $\rho$-to-$\pi$ and $K^{\ast }$-to-$K$ transition amplitudes.

LaTex 11 pages, 2 PostScript figures