Covariant tensor formalism for partial wave analyses of $ψ$ decays into $γB\bar B$, $γγV$ and $ψ(2S)\toγχ_{c0,1,2}$ with $χ_{c0,1,2}\to K\bar K π^+π^- $ and $2π^+2π^-$

Abstract

With accumulation of high statistics data at BES and CLEO-c, many new interesting channels can get enough statistics for partial wave analysis (PWA). Among them, $ψ\to γp\bar p, γΛ\bar Λ, γΣ\barΣ, γΞ\bar Ξ$ channels provide a good place for studying baryon-antibaryon interactions; 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 $ψ\toγR \toγγV$; $ψ(2S)\toγχ_{c0,1,2}$ with $χ_{c0,1,2}\to K\bar K π^+π^- $ and $2π^+2π^-$ decays are good processes to study $χ_{cJ}$ charmonium decays. Using the covariant tensor formalism, here we provide theoretical PWA formulae for these channels.