Tri-meson-mixing of $\pi$-$\eta$-$\eta'$ and $\rho$-$\omega$-$\phi$ in the light-cone quark model

TL;DR

This paper investigates the radiative transition form factors of light pseudoscalar and vector mesons using a tri-meson-mixing scheme within the light-cone quark model, achieving improved agreement with experimental decay widths.

Contribution

It introduces a tri-meson-mixing pattern with tri-mixing matrices, providing a more accurate description of meson transition form factors compared to previous two-mixing-angle models.

Findings

Better reproduction of experimental decay widths.

Improved modeling of meson mixing effects.

Enhanced understanding of light meson structure.

Abstract

The radiative transition form factors of the pseudoscalar mesons {$\pi$, $\eta$, $\eta'$} and the vector mesons {$\rho$, $\omega$, $\phi$} are restudied with $\pi$-$\eta$-$\eta'$ and $\rho$-$\omega$-$\phi$ in tri-meson-mixing pattern, which is described by tri-mixing matrices in the light-cone constituent quark model. The experimental transition decay widths are better reproduced with tri-meson-mixing than previous results in a two-mixing-angle scenario of only two-meson $\eta$-$\eta'$ mixing and $\omega$-$\phi$ mixing.