Covariant tensor formalism for partial wave analyses of $ψ$ decays into $γγV$

Abstract

The double radiative decays $ψ\toγγV$ with $V\equiv ρ,ω,ϕ$ have a potential to provide information on the flavor content of any meson resonances (R) with positive charge parity ($C=+$) and mass above 1 GeV through $ψ\toγR \toγγV$. To get the information, one needs both high statistic data and partial wave analysis (PWA). While high statistic data will be available soon at CLEO-c and BES-III, here we provide theoretical PWA formulae for these $ψ$ double radiative decay channels in the covariant tensor formalism.