Radiative VPgamma transitions and eta-eta' mixing

Abstract

A value for the $\eta$-${\eta }^{\prime }$ mixing angle is extracted from the data on $VP\gamma$ transitions using simple quark-model ideas. The set of data covers {\it all} possible radiative transitions between the pseudoscalar and vector meson nonets. Two main ingredients of the model are the introduction of flavour-dependent overlaps for the various $q\bar{q}$ wave functions and the use of the quark-flavour basis to describe the $\eta$-${\eta }^{\prime }$ system. In this basis the mixing angle is found to be ${\varphi }_P=(37.7\pm 2.4{)}^{\circ }$.

Comments: 10 pages